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CSU Week 3 Normal Distributions Questionnaire
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms ...
CSU Week 3 Normal Distributions Questionnaire
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible. If the answer is in %, show two decimal places.Answer the following problems showing your work and explaining (or analyzing) your results. Submit your work in a typed Microsoft Word document.The average score of a statistics class was 71 with a standard deviation of 8.What is the z score of a student with a grade of 68? (2.5 pts)What is the z score of a student with a grade of 80? (2.5 pts)Using the same data in #1 answer the following:Approximately 68% (one standard deviation) of the scores are between ________ and _________ (2.5 pts)Approximately 95% (two standard deviation) of the scores are between _________ and _________ (2.5 pts)Most values of the standard normal distribution are between __________. (3 pts)-3 and 30 and 10 and 31 and 3(a) If the standard deviation of a data set is 1.3, what is the variance? (2.5 pts)(b) If the variance is 36, what is the standard deviation? (2.5 pts)Let X have a normal distribution with mean µ= 20 and standard deviation σ = 4. Determine the area in the normal curve for which:P (X > 28) (2.5 pts)P (X > 12) (2.5 pts)P (X > 24) (2.5 pts)The IQ scores of students listed below are from a SAMPLE of MATH 300 class.
IQ Scores921101059612010090981109510299931191061039110197105What is the mean IQ score? Round to the nearest whole number. (2.5 pts)Compute the IQ scores within plus/minus one standard deviation? Two answers. Round to the nearest whole numbers. (2.5 pts)Compute the IQ scores within plus/minus two standard deviation? Two answers. (2.5 pts)Let X have a normal distribution with µ= 10 and standard deviation σ= 2. Transform X to the standard normal form Z and match the following probability statements:a) P(X>14) 1) P(Z<-1)b) P(X<8) 2) P(-2 < Z < 2)c) P(6 < X < 14) 3) P(Z > 2)a) is matched to ___________ (2.5 pts)b) is matched to ___________ (2.5 pts)c) is matched to ___________ (2.5 pts)Let X have a normal distribution with mean µ= 30 and standard deviation σ= 10. Calculate P(X>40). Round to two decimal places. (4 pts)For a standard normal variable Z, compute P(Z<1.5). Round your answer to two decimal places. (3 pts)A larger standard deviation of a normal distribution indicates that the distribution becomes (2.5 pts)
narrower and more peakedflatted and widermore skewed to the rightmore skewed to the left
10 pages
Deliverable 5 Spring 2020 1 3
Instructions: The following worksheets describe two problems – the first problem is for independent samples and the seco ...
Deliverable 5 Spring 2020 1 3
Instructions: The following worksheets describe two problems – the first problem is for independent samples and the seco is for dependent samples. ...
9 pages
Final T Test
Program Name or Degree Name (e.g., Master of Science in Nursing), Walden University Hypothesis testing of means is a metho ...
Final T Test
Program Name or Degree Name (e.g., Master of Science in Nursing), Walden University Hypothesis testing of means is a method used to determine the ...
13 pages
Answers Exam 2
The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 63 A, 22 B, and 35 C. S ...
Answers Exam 2
The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 63 A, 22 B, and 35 C. Show the frequency and ...
MTH 156 Colorado State University Estimator New York Survey Data MCT 6 Report
Option #2: New York Survey DataA consulting firm was hired to conduct a survey on people living in
New York City. The su ...
MTH 156 Colorado State University Estimator New York Survey Data MCT 6 Report
Option #2: New York Survey DataA consulting firm was hired to conduct a survey on people living in
New York City. The survey was completed monthly for six months by 445
randomly-selected people in different boroughs. There were a number of
items on the survey, but six basic biographical items will be studied
for this exercise. The data for the people surveyed in one of these
monthly surveys can be found in the Excel file SURVEY. The variables that were used for the basic biographical data are found on the last page of the exercise.In this exercise, some of the estimation techniques presented in the
module will be applied to the New York survey results. You may assume
that these respondents represent a simple random sample of all potential
respondents within the community, and that the population is large
enough that application of the finite population correction would not
make an appreciable difference in the results.New York City governmental agency personnel like to have point
estimates regarding variables describing the biographical information of
the people living within the different boroughs. It is very helpful for
them to have some idea regarding the likely accuracy of these estimates
as well. Therein lies the benefit of the techniques presented in this
module and applied here.
Item A in the description of the data collection instrument lists
variables 1 through 5, which represent the respondent’s general attitude
toward each of the five boroughs. Each of these variables has
numerically equal distances between the possible responses, and for
purposes of analysis they may be considered to be of the interval scale
of measurement.
Determine the point estimate, and then construct the 95% confidence interval for μ1= the average attitude toward Manhattan.
Repeat part (a) for μ2 through μ5, the average attitudes toward Brooklyn, Queens, The Bronx and Staten Island, respectively.
Given the breakdown of responses for variable 6 (highest level of
education), determine the point estimate, and then construct the 95%
confidence interval for p6= the population proportion of doctoral degrees.
Given the breakdown of responses for variable 7 (marital status of
respondent), determine the point estimate, and then construct the 95%
confidence interval for p7 = the population proportion in the “single or other” category.
Assume the governmental agencies requested estimates of the mean
attitudes towards each borough with a margin of error of 0.05 for each
borough. If the governmental agency personnel want to have 95%
confidence that the sample mean will fall within this margin of error,
how large should the sample sizes be for each borough?
Requirements:
Your paper should be 2-3 pages in length (not counting the title
page and references page) and cite and integrate at least one credible
outside source. The CSU Global Library is a great place to find
resources. Your textbook is a credible resource.
Include a title page, introduction, body, conclusion, and a reference page.
The introduction should describe or summarize the topic or problem.
It might discuss the general applications of the topic or it might
introduce the unique terminology associated with the topic.
The body of your paper should address the questions posed in the
problem. Explain how you approached and answered the question or solved
the problem, and, for each question, show all steps involved. Be sure
this is in paragraph format, not numbered answers like a homework
assignment.
The conclusion should summarize your thoughts about what you have
determined from your analysis in completing the assignment. Nothing new
should be introduced in the conclusion that was not previously discussed
in the body paragraphs.
Include any tables of data or calculations, calculated values,
and/or graphs referenced in the paper. (Note: The minimum required
length excludes any tables or graphs.)
Document formatting, citations, and style should conform to the CSU Global Guide to Writing and APA Requirements (Links to an external site.). A short summary containing much that you need to know about paper formatting, citations, and references is contained in the Template Paper (Links to an external site.). In addition, information in the CSU Global Writing Center (Links to an external site.) has many helpful areas (Writing Tips, Template & Examples/Papers & Essays, Figures and Tables, and others).
NOTE: You MUST submit your Excel file with your
report. This will allow you to qualify for consideration for partial
credit if any errors are found in your report.
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CSU Week 3 Normal Distributions Questionnaire
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms ...
CSU Week 3 Normal Distributions Questionnaire
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible. If the answer is in %, show two decimal places.Answer the following problems showing your work and explaining (or analyzing) your results. Submit your work in a typed Microsoft Word document.The average score of a statistics class was 71 with a standard deviation of 8.What is the z score of a student with a grade of 68? (2.5 pts)What is the z score of a student with a grade of 80? (2.5 pts)Using the same data in #1 answer the following:Approximately 68% (one standard deviation) of the scores are between ________ and _________ (2.5 pts)Approximately 95% (two standard deviation) of the scores are between _________ and _________ (2.5 pts)Most values of the standard normal distribution are between __________. (3 pts)-3 and 30 and 10 and 31 and 3(a) If the standard deviation of a data set is 1.3, what is the variance? (2.5 pts)(b) If the variance is 36, what is the standard deviation? (2.5 pts)Let X have a normal distribution with mean µ= 20 and standard deviation σ = 4. Determine the area in the normal curve for which:P (X > 28) (2.5 pts)P (X > 12) (2.5 pts)P (X > 24) (2.5 pts)The IQ scores of students listed below are from a SAMPLE of MATH 300 class.
IQ Scores921101059612010090981109510299931191061039110197105What is the mean IQ score? Round to the nearest whole number. (2.5 pts)Compute the IQ scores within plus/minus one standard deviation? Two answers. Round to the nearest whole numbers. (2.5 pts)Compute the IQ scores within plus/minus two standard deviation? Two answers. (2.5 pts)Let X have a normal distribution with µ= 10 and standard deviation σ= 2. Transform X to the standard normal form Z and match the following probability statements:a) P(X>14) 1) P(Z<-1)b) P(X<8) 2) P(-2 < Z < 2)c) P(6 < X < 14) 3) P(Z > 2)a) is matched to ___________ (2.5 pts)b) is matched to ___________ (2.5 pts)c) is matched to ___________ (2.5 pts)Let X have a normal distribution with mean µ= 30 and standard deviation σ= 10. Calculate P(X>40). Round to two decimal places. (4 pts)For a standard normal variable Z, compute P(Z<1.5). Round your answer to two decimal places. (3 pts)A larger standard deviation of a normal distribution indicates that the distribution becomes (2.5 pts)
narrower and more peakedflatted and widermore skewed to the rightmore skewed to the left
10 pages
Deliverable 5 Spring 2020 1 3
Instructions: The following worksheets describe two problems – the first problem is for independent samples and the seco ...
Deliverable 5 Spring 2020 1 3
Instructions: The following worksheets describe two problems – the first problem is for independent samples and the seco is for dependent samples. ...
9 pages
Final T Test
Program Name or Degree Name (e.g., Master of Science in Nursing), Walden University Hypothesis testing of means is a metho ...
Final T Test
Program Name or Degree Name (e.g., Master of Science in Nursing), Walden University Hypothesis testing of means is a method used to determine the ...
13 pages
Answers Exam 2
The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 63 A, 22 B, and 35 C. S ...
Answers Exam 2
The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 63 A, 22 B, and 35 C. Show the frequency and ...
MTH 156 Colorado State University Estimator New York Survey Data MCT 6 Report
Option #2: New York Survey DataA consulting firm was hired to conduct a survey on people living in
New York City. The su ...
MTH 156 Colorado State University Estimator New York Survey Data MCT 6 Report
Option #2: New York Survey DataA consulting firm was hired to conduct a survey on people living in
New York City. The survey was completed monthly for six months by 445
randomly-selected people in different boroughs. There were a number of
items on the survey, but six basic biographical items will be studied
for this exercise. The data for the people surveyed in one of these
monthly surveys can be found in the Excel file SURVEY. The variables that were used for the basic biographical data are found on the last page of the exercise.In this exercise, some of the estimation techniques presented in the
module will be applied to the New York survey results. You may assume
that these respondents represent a simple random sample of all potential
respondents within the community, and that the population is large
enough that application of the finite population correction would not
make an appreciable difference in the results.New York City governmental agency personnel like to have point
estimates regarding variables describing the biographical information of
the people living within the different boroughs. It is very helpful for
them to have some idea regarding the likely accuracy of these estimates
as well. Therein lies the benefit of the techniques presented in this
module and applied here.
Item A in the description of the data collection instrument lists
variables 1 through 5, which represent the respondent’s general attitude
toward each of the five boroughs. Each of these variables has
numerically equal distances between the possible responses, and for
purposes of analysis they may be considered to be of the interval scale
of measurement.
Determine the point estimate, and then construct the 95% confidence interval for μ1= the average attitude toward Manhattan.
Repeat part (a) for μ2 through μ5, the average attitudes toward Brooklyn, Queens, The Bronx and Staten Island, respectively.
Given the breakdown of responses for variable 6 (highest level of
education), determine the point estimate, and then construct the 95%
confidence interval for p6= the population proportion of doctoral degrees.
Given the breakdown of responses for variable 7 (marital status of
respondent), determine the point estimate, and then construct the 95%
confidence interval for p7 = the population proportion in the “single or other” category.
Assume the governmental agencies requested estimates of the mean
attitudes towards each borough with a margin of error of 0.05 for each
borough. If the governmental agency personnel want to have 95%
confidence that the sample mean will fall within this margin of error,
how large should the sample sizes be for each borough?
Requirements:
Your paper should be 2-3 pages in length (not counting the title
page and references page) and cite and integrate at least one credible
outside source. The CSU Global Library is a great place to find
resources. Your textbook is a credible resource.
Include a title page, introduction, body, conclusion, and a reference page.
The introduction should describe or summarize the topic or problem.
It might discuss the general applications of the topic or it might
introduce the unique terminology associated with the topic.
The body of your paper should address the questions posed in the
problem. Explain how you approached and answered the question or solved
the problem, and, for each question, show all steps involved. Be sure
this is in paragraph format, not numbered answers like a homework
assignment.
The conclusion should summarize your thoughts about what you have
determined from your analysis in completing the assignment. Nothing new
should be introduced in the conclusion that was not previously discussed
in the body paragraphs.
Include any tables of data or calculations, calculated values,
and/or graphs referenced in the paper. (Note: The minimum required
length excludes any tables or graphs.)
Document formatting, citations, and style should conform to the CSU Global Guide to Writing and APA Requirements (Links to an external site.). A short summary containing much that you need to know about paper formatting, citations, and references is contained in the Template Paper (Links to an external site.). In addition, information in the CSU Global Writing Center (Links to an external site.) has many helpful areas (Writing Tips, Template & Examples/Papers & Essays, Figures and Tables, and others).
NOTE: You MUST submit your Excel file with your
report. This will allow you to qualify for consideration for partial
credit if any errors are found in your report.
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