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use the law of sines to solve (if possible) the triangle. if two solutions exist, find both. round your answers to two decimal places. A=58degree, a=4.5, b=12.8
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Explanation & Answer
a/sin A = b/sin B
sin B = b sin A /a = 12/4.5 sin 58 = 2.412 > 1
It is not possible to determine B
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MAT 240 SNHU Hypothesis Testing for Regional Real Estate Company Report
Listen
ReadSpeaker webReader: Listen
ScenarioYou have been hired by the Regional ...
MAT 240 SNHU Hypothesis Testing for Regional Real Estate Company Report
Listen
ReadSpeaker webReader: Listen
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. It states that the average cost per square foot of his
home sales is above the 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. The average cost per square foot
of his home sales is $275. In order to test his claim, you collect a
sample of 1,001 home sales for the Pacific region.PromptDesign a hypothesis test and interpret the results using significance level α = .05.Use the House Listing Price by Region document 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 Template.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.
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 275.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
SU Hypothesis Test Involves a Sampling Distribution Questions
1. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical ...
SU Hypothesis Test Involves a Sampling Distribution Questions
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MAT 240 SNHU Hypothesis Testing for Regional Real Estate Company Report
Listen
ReadSpeaker webReader: Listen
ScenarioYou have been hired by the Regional ...
MAT 240 SNHU Hypothesis Testing for Regional Real Estate Company Report
Listen
ReadSpeaker webReader: Listen
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. It states that the average cost per square foot of his
home sales is above the 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. The average cost per square foot
of his home sales is $275. In order to test his claim, you collect a
sample of 1,001 home sales for the Pacific region.PromptDesign a hypothesis test and interpret the results using significance level α = .05.Use the House Listing Price by Region document 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 Template.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.
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 275.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
SU Hypothesis Test Involves a Sampling Distribution Questions
1. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical ...
SU Hypothesis Test Involves a Sampling Distribution Questions
1. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.α = 0.05 for a two-tailed test.2. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.α = 0.09 for a right-tailed test.3. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.α = 0.05 for a left-tailed test.4. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.α = 0.1 for a two-tailed test.5. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither.Claim: μ = 959. Sample data: n = 25, = 951, s = 25. The sample data appear to come from a normally distributed population with σ = 28.6. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither.Claim: μ = 119. Sample data: n = 15, = 103, s = 15.2. The sample data appear to come from a normally distributed population with unknown μ and 7. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither.Claim: μ = 78. Sample data: n = 24, = 101, s = 15.3. The sample data appear to come from a population with a distribution that is very far from normal, and σ is unknown.8. Find the P-value for the indicated hypothesis test.A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school's students, 32% of them plan to go into general practice. Find the P-value for a test of the school's claim.9. Find the P-value for the indicated hypothesis test.In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%.10. Find the P-value for the indicated hypothesis test.In a sample of 47 adults selected randomly from one town, it is found that 9 of them have been exposed to a particular strain of the flu. Find the P-value for a test of the claim that the proportion of all adults in the town that have been exposed to this strain of the flu is 8%.
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