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A fair die is rolled 4 times. What is the probability of having no 1 and no 2 among the rolls? Round your answer to three decimal places.
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MTH 250 Norfolk Compute the Correct Critical Value for The Problem Math Questions
MTH 250 – PROJECT Due by 5/11/2021
Please answer all of the following questions. Be neat, show your work, use full sent ...
MTH 250 Norfolk Compute the Correct Critical Value for The Problem Math Questions
MTH 250 – PROJECT Due by 5/11/2021
Please answer all of the following questions. Be neat, show your work, use full sentences and explain
your answers. Please professionally present your project. Use Excel to create your graphs.
You can work with a partner if you want. If you plan to work with a partner, you must let me know at
least a week before the project's due date. If you work with a partner, you can turn in just one
project.
Please do your own work, and do not copy anyone else’s project. If you have trouble obtaining the data,
let me know.
PART 1: M&M’s
For this part of the project, you will need to obtain a bag of M&Ms and count how many M&Ms there
are of each color. (If you don’t want to do M&Ms you could do Skittles, or count how many of each type of nut are in a
container of mixed nuts. If you have another similar idea that you would like to do, let me know so I can approve it)
1. What is the variable we are studying? Is this variable quantitative or qualitative? If the variable
is quantitative, is it continuous or discrete?
2. Create a frequency distribution for the number of M&M’s of each color.
3. Create a relative frequency distribution for the number of M&M’s of each color.
4. What is the mode?
5. Create a graph to display this data. Make sure your graph is labeled appropriately. (You can
select the type of graph you think is appropriate)
PART 2: Cereal
For this part of the project, you should go to the grocery store (or online store..) and look at the
nutrition facts for many different boxes of cereal. I would recommend collecting data on at least 20
types of cereal.
For each cereal please make a table of the following data:
(If the cereal lists nutrition information for being served with milk, please just use the nutrition information for plain cereal.)
Name of Cereal Grams of Total Carbohydrates Grams of Fiber
Please include the table with your project.
For each of these two variables:
1. Is the variable qualitative or quantitative? If the variable is quantitative, is it continuous or
discrete?
2. Find the mean, median, sample standard deviation, and IQR. Find the five-number summary.
3. Calculate whether there are any outliers. If there are outliers, explain how you could tell these
values are outliers. If there are no outliers, explain how you decided there are no outliers.
4. Create a histogram. (You can group data in classes) Make sure your graph is labeled
appropriately.
5. Create a boxplot.
6. Looking at the histogram and/or boxplot, what shape would you say that the data has? (If the
shape is kind of awkward, that’s okay. Give your best analysis of it.)
7. If you had to report on the typical amount of carbohydrates and the typical amount of fiber in
a serving of cereal, what measure of the center would you use for each one? Why?
Two more problems:
8. A high-fiber cereal boasts that it contains 20 g of fiber. A low-carb cereal has just 14g of
carbohydrates. Use the means and standard deviations you calculated to find a z-score for each
cereal of these cereals. Based on these z-scores, which cereal is more exceptional?
9. For this problem, choose whichever of the variables was approximately bell-shaped.
If both were bell-shaped, choose either one; If neither one is bell-shaped choose the closest one to bell-shaped and we will pretend it was bell-shaped.
Use empirical rule to state the values that approximately 68%, 95%, and 99.7% of cereals
would fall between.
Part III: Confidence Interval
This part of your project will be to construct confidence intervals and perform hypothesis tests without using the
calculator to do all the work. Also, you must be able to interpret your results. Please round answers to 3 decimal
places.
Not Allowed: Do not use anything in the STAT > > TESTS menu Allowed: You can use 1-Var Stats.
10. Confidence Interval
In a study of maximal aerobic capacity, 12 women had their blood plasma volume measured. The following
data is their blood plasma volumes in liters.
3.75 2.89 2.70 3.12 2.61 3.85
2.96 3.87 3.15 2.96 3.52 3.12
a. Calculate the mean and sample standard deviation of the women’s blood plasma volume. (You can
use 1-Var Stats on your calculator)
b. We want to find a 90% confidence interval. What is the critical value 𝒕𝜶/𝟐? Explain how you found it.
c. Construct a 90% confidence interval for the mean women’s blood plasma volume by using the
formula. Show your work.
d. Write a sentence to interpret the confidence interval that you constructed.
e. We would like to redo this study with better accuracy. We would like the margin of error to be no
more than 0.1 liters. What sample size should we use for our new study?
Part IV: Hypothesis
11. Hypothesis Test
The ToothBright Toothpaste Company claims that 4 out of 5 dentists (80% of dentists) recommend their
toothpaste to patients. You think that the proportion of dentists who recommend ToothBright is less
than that, so you contact 100 randomly selected dentists across the country to ask if they recommend
ToothBright toothpaste to their patients, and 71 of them said yes.
Perform your hypothesis test at the α=.05 level of significance.
a. State the null and alternative hypotheses.
b. Calculate the test statistic. Show your work.
c. What is the correct critical value (or values) for the problem? Explain how you found it.
d. Mark the Critical Value(s) and the Test Statistic on the curve. Also, indicate clearly which area is
the critical region.
e. Is your test statistic in the critical region?
f. Are you going to reject or fail to reject the null hypothesis? How did you decide?
g. State your conclusion. (without using words like “reject” and “hypothesis”)
For this discussion, complete the following tasks: Use an outside source to search for a quadratic equation that models something from your daily life. Solve the equation in two ways. Discuss which method you liked better and why. In your responses to pe
For this discussion, complete the following tasks:Use an outside source to search for a quadratic equation that models som ...
For this discussion, complete the following tasks: Use an outside source to search for a quadratic equation that models something from your daily life. Solve the equation in two ways. Discuss which method you liked better and why. In your responses to pe
For this discussion, complete the following tasks:Use an outside source to search for a quadratic equation that models something from your daily life.Solve the equation in two ways.Discuss which method you liked better and why.In your responses to peers, compare and contrast your preferences for how to solve quadratic equations.
University of California San Diego Normal Distribution Application Excel Worksheet
Using the data from your Wk 3 Mean, Median, and Mode assignment, describe the skewness and kurtosis with the distribution ...
University of California San Diego Normal Distribution Application Excel Worksheet
Using the data from your Wk 3 Mean, Median, and Mode assignment, describe the skewness and kurtosis with the distribution graph.
MAT 240 SNHU Hypothesis Testing for Regional Real Estate Company Paper
ScenarioYou have been hired by the Regional Real Estate Company to help them analyze real estate data. One of the company� ...
MAT 240 SNHU Hypothesis Testing for Regional Real Estate Company Paper
ScenarioYou have been hired by the Regional Real Estate Company to help them analyze real estate data. One of the company’s Pacific region salespeople just returned to the office with a newly designed advertisement. The average cost per square foot of home sales based on this advertisement is $280. The salesperson claims that the average cost per square foot in the Pacific region is less than $280. In other words, he claims that the newly designed advertisement would result in higher average cost per square foot in the Pacific Region. He wants you to make sure he can make that statement before approving the use of the advertisement. In order to test his claim, you will generate a random sample size of 750 using data for the Pacific region and use this data to perform a hypothesis test. PromptGenerate a sample of size 750 using data for the Pacific region. Then, design a hypothesis test and interpret the results using significance level α = .05. You will work with this sample in the assignment. Briefly describe how you generated your random sample.Use the House Listing Price by Region document and the National Summary Statistics and Graphs House Listing Price by Region documents to help support your work on this assignment. You may also use the Descriptive Statistics in Excel and Creating Histograms in Excel tutorials for support.Specifically, you must address the following rubric criteria, using the Module Five Assignment TemplateHypothesis Test Setup: Define your population parameter, including hypothesis statements, and specify the appropriate test.Define your population parameter.Write the null and alternative hypotheses. Note: Remember, the salesperson believes that his sales are higher.Specify the name of the test you will use.Identify whether it is a left-tailed, right-tailed, or two-tailed test.Identify your significance level.Data Analysis Preparations: Describe sample summary statistics, provide a histogram and summary, check assumptions, and find the test statistic and significance level.Provide the descriptive statistics (sample size, mean, median, and standard deviation).Provide a histogram of your sample.Describe your sample by writing a sentence describing the shape, center, and spread of your sample.Determine whether the conditions to perform your identified test have been met.Calculations: Calculate the p value, describe the p value and test statistic in regard to the normal curve graph, discuss how the p value relates to the significance level, and compare the p value to the significance level to reject or fail to reject the null hypothesis.
Calculate the sample mean and standard error.Determine the appropriate test statistic, then calculate the test statistic.Note: This calculation is (mean – target)/standard error. In this case, the mean is your regional mean (Pacific), and the target is 280.Calculate the p value.Note: For right-tailed, use the T.DIST.RT function in Excel, left-tailed is the T.DIST function, and two-tailed is the T.DIST.2T function. The degree of freedom is calculated by subtracting 1 from your sample size.Choose your test from the following:=T.DIST.RT([test statistic], [degree of freedom])=T.DIST([test statistic], [degree of freedom], 1)=T.DIST.2T([test statistic], [degree of freedom])Using the normal curve graph as a reference, describe where the p value and test statistic would be placed.Test Decision: Discuss the relationship between the p value and the significance level, including a comparison between the two, and decide to reject or fail to reject the null hypothesis.Discuss how the p value relates to the significance level.Compare the p value and significance level, and make a decision to reject or fail to reject the null hypothesis.Conclusion: Discuss how your test relates to the hypothesis and discuss the statistical significance.Explain in one paragraph how your test decision relates to your hypothesis and whether your conclusions are statistically significant.You can use the following tutorial that is specifically about this assignment:MAT-240 Module 5 Assignment
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MTH 250 Norfolk Compute the Correct Critical Value for The Problem Math Questions
MTH 250 – PROJECT Due by 5/11/2021
Please answer all of the following questions. Be neat, show your work, use full sent ...
MTH 250 Norfolk Compute the Correct Critical Value for The Problem Math Questions
MTH 250 – PROJECT Due by 5/11/2021
Please answer all of the following questions. Be neat, show your work, use full sentences and explain
your answers. Please professionally present your project. Use Excel to create your graphs.
You can work with a partner if you want. If you plan to work with a partner, you must let me know at
least a week before the project's due date. If you work with a partner, you can turn in just one
project.
Please do your own work, and do not copy anyone else’s project. If you have trouble obtaining the data,
let me know.
PART 1: M&M’s
For this part of the project, you will need to obtain a bag of M&Ms and count how many M&Ms there
are of each color. (If you don’t want to do M&Ms you could do Skittles, or count how many of each type of nut are in a
container of mixed nuts. If you have another similar idea that you would like to do, let me know so I can approve it)
1. What is the variable we are studying? Is this variable quantitative or qualitative? If the variable
is quantitative, is it continuous or discrete?
2. Create a frequency distribution for the number of M&M’s of each color.
3. Create a relative frequency distribution for the number of M&M’s of each color.
4. What is the mode?
5. Create a graph to display this data. Make sure your graph is labeled appropriately. (You can
select the type of graph you think is appropriate)
PART 2: Cereal
For this part of the project, you should go to the grocery store (or online store..) and look at the
nutrition facts for many different boxes of cereal. I would recommend collecting data on at least 20
types of cereal.
For each cereal please make a table of the following data:
(If the cereal lists nutrition information for being served with milk, please just use the nutrition information for plain cereal.)
Name of Cereal Grams of Total Carbohydrates Grams of Fiber
Please include the table with your project.
For each of these two variables:
1. Is the variable qualitative or quantitative? If the variable is quantitative, is it continuous or
discrete?
2. Find the mean, median, sample standard deviation, and IQR. Find the five-number summary.
3. Calculate whether there are any outliers. If there are outliers, explain how you could tell these
values are outliers. If there are no outliers, explain how you decided there are no outliers.
4. Create a histogram. (You can group data in classes) Make sure your graph is labeled
appropriately.
5. Create a boxplot.
6. Looking at the histogram and/or boxplot, what shape would you say that the data has? (If the
shape is kind of awkward, that’s okay. Give your best analysis of it.)
7. If you had to report on the typical amount of carbohydrates and the typical amount of fiber in
a serving of cereal, what measure of the center would you use for each one? Why?
Two more problems:
8. A high-fiber cereal boasts that it contains 20 g of fiber. A low-carb cereal has just 14g of
carbohydrates. Use the means and standard deviations you calculated to find a z-score for each
cereal of these cereals. Based on these z-scores, which cereal is more exceptional?
9. For this problem, choose whichever of the variables was approximately bell-shaped.
If both were bell-shaped, choose either one; If neither one is bell-shaped choose the closest one to bell-shaped and we will pretend it was bell-shaped.
Use empirical rule to state the values that approximately 68%, 95%, and 99.7% of cereals
would fall between.
Part III: Confidence Interval
This part of your project will be to construct confidence intervals and perform hypothesis tests without using the
calculator to do all the work. Also, you must be able to interpret your results. Please round answers to 3 decimal
places.
Not Allowed: Do not use anything in the STAT > > TESTS menu Allowed: You can use 1-Var Stats.
10. Confidence Interval
In a study of maximal aerobic capacity, 12 women had their blood plasma volume measured. The following
data is their blood plasma volumes in liters.
3.75 2.89 2.70 3.12 2.61 3.85
2.96 3.87 3.15 2.96 3.52 3.12
a. Calculate the mean and sample standard deviation of the women’s blood plasma volume. (You can
use 1-Var Stats on your calculator)
b. We want to find a 90% confidence interval. What is the critical value 𝒕𝜶/𝟐? Explain how you found it.
c. Construct a 90% confidence interval for the mean women’s blood plasma volume by using the
formula. Show your work.
d. Write a sentence to interpret the confidence interval that you constructed.
e. We would like to redo this study with better accuracy. We would like the margin of error to be no
more than 0.1 liters. What sample size should we use for our new study?
Part IV: Hypothesis
11. Hypothesis Test
The ToothBright Toothpaste Company claims that 4 out of 5 dentists (80% of dentists) recommend their
toothpaste to patients. You think that the proportion of dentists who recommend ToothBright is less
than that, so you contact 100 randomly selected dentists across the country to ask if they recommend
ToothBright toothpaste to their patients, and 71 of them said yes.
Perform your hypothesis test at the α=.05 level of significance.
a. State the null and alternative hypotheses.
b. Calculate the test statistic. Show your work.
c. What is the correct critical value (or values) for the problem? Explain how you found it.
d. Mark the Critical Value(s) and the Test Statistic on the curve. Also, indicate clearly which area is
the critical region.
e. Is your test statistic in the critical region?
f. Are you going to reject or fail to reject the null hypothesis? How did you decide?
g. State your conclusion. (without using words like “reject” and “hypothesis”)
For this discussion, complete the following tasks: Use an outside source to search for a quadratic equation that models something from your daily life. Solve the equation in two ways. Discuss which method you liked better and why. In your responses to pe
For this discussion, complete the following tasks:Use an outside source to search for a quadratic equation that models som ...
For this discussion, complete the following tasks: Use an outside source to search for a quadratic equation that models something from your daily life. Solve the equation in two ways. Discuss which method you liked better and why. In your responses to pe
For this discussion, complete the following tasks:Use an outside source to search for a quadratic equation that models something from your daily life.Solve the equation in two ways.Discuss which method you liked better and why.In your responses to peers, compare and contrast your preferences for how to solve quadratic equations.
University of California San Diego Normal Distribution Application Excel Worksheet
Using the data from your Wk 3 Mean, Median, and Mode assignment, describe the skewness and kurtosis with the distribution ...
University of California San Diego Normal Distribution Application Excel Worksheet
Using the data from your Wk 3 Mean, Median, and Mode assignment, describe the skewness and kurtosis with the distribution graph.
MAT 240 SNHU Hypothesis Testing for Regional Real Estate Company Paper
ScenarioYou have been hired by the Regional Real Estate Company to help them analyze real estate data. One of the company� ...
MAT 240 SNHU Hypothesis Testing for Regional Real Estate Company Paper
ScenarioYou have been hired by the Regional Real Estate Company to help them analyze real estate data. One of the company’s Pacific region salespeople just returned to the office with a newly designed advertisement. The average cost per square foot of home sales based on this advertisement is $280. The salesperson claims that the average cost per square foot in the Pacific region is less than $280. In other words, he claims that the newly designed advertisement would result in higher average cost per square foot in the Pacific Region. He wants you to make sure he can make that statement before approving the use of the advertisement. In order to test his claim, you will generate a random sample size of 750 using data for the Pacific region and use this data to perform a hypothesis test. PromptGenerate a sample of size 750 using data for the Pacific region. Then, design a hypothesis test and interpret the results using significance level α = .05. You will work with this sample in the assignment. Briefly describe how you generated your random sample.Use the House Listing Price by Region document and the National Summary Statistics and Graphs House Listing Price by Region documents to help support your work on this assignment. You may also use the Descriptive Statistics in Excel and Creating Histograms in Excel tutorials for support.Specifically, you must address the following rubric criteria, using the Module Five Assignment TemplateHypothesis Test Setup: Define your population parameter, including hypothesis statements, and specify the appropriate test.Define your population parameter.Write the null and alternative hypotheses. Note: Remember, the salesperson believes that his sales are higher.Specify the name of the test you will use.Identify whether it is a left-tailed, right-tailed, or two-tailed test.Identify your significance level.Data Analysis Preparations: Describe sample summary statistics, provide a histogram and summary, check assumptions, and find the test statistic and significance level.Provide the descriptive statistics (sample size, mean, median, and standard deviation).Provide a histogram of your sample.Describe your sample by writing a sentence describing the shape, center, and spread of your sample.Determine whether the conditions to perform your identified test have been met.Calculations: Calculate the p value, describe the p value and test statistic in regard to the normal curve graph, discuss how the p value relates to the significance level, and compare the p value to the significance level to reject or fail to reject the null hypothesis.
Calculate the sample mean and standard error.Determine the appropriate test statistic, then calculate the test statistic.Note: This calculation is (mean – target)/standard error. In this case, the mean is your regional mean (Pacific), and the target is 280.Calculate the p value.Note: For right-tailed, use the T.DIST.RT function in Excel, left-tailed is the T.DIST function, and two-tailed is the T.DIST.2T function. The degree of freedom is calculated by subtracting 1 from your sample size.Choose your test from the following:=T.DIST.RT([test statistic], [degree of freedom])=T.DIST([test statistic], [degree of freedom], 1)=T.DIST.2T([test statistic], [degree of freedom])Using the normal curve graph as a reference, describe where the p value and test statistic would be placed.Test Decision: Discuss the relationship between the p value and the significance level, including a comparison between the two, and decide to reject or fail to reject the null hypothesis.Discuss how the p value relates to the significance level.Compare the p value and significance level, and make a decision to reject or fail to reject the null hypothesis.Conclusion: Discuss how your test relates to the hypothesis and discuss the statistical significance.Explain in one paragraph how your test decision relates to your hypothesis and whether your conclusions are statistically significant.You can use the following tutorial that is specifically about this assignment:MAT-240 Module 5 Assignment
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