# One Sample Hypothesis Test

I have completed the answer I need help putting them to be put on the guided format as requested for me to do so. One attachment is my answers and the other is the guide. I am not looking for you to change my answer.

COMPLETE PROBLEM 1: It is pretty common across most schools to find the grades at the MBA level divided between A's and B's. As such, you expect the mean GPA to be around 3.50. Using the sample of 200 MBA students, conduct a one-sample hypothesis test to determine if the mean graduate GPA is different from 3.50. Use a .05 significance level. Report on your findings (100+ words, 3 or more sentences). In your report, be sure to include the results of the hypothesis test and indicate whether you are using a two-tail, upper-tail, or lower-tail test. Also include a chart (a bar chart or column chart will probably work best) comparing the calculated mean with the hypothesized mean.

COMPLETE PROBLEM 2: Assume you read in the Whatsamatta U website that the average age of their MBA students is 45. Is this really true or have they failed to update this correctly? You think it is far less because more students have started their Masters sooner since the economy is so bad. You took a sample of 200 students (in the data file). Conduct a one-sample hypothesis test to determine if the mean age is less than 45. Use a .05 significance level. Report on your findings (100+ words, 3 or more sentences). In your report, be sure to include the results of the hypothesis test and indicate whether you are using a two-tail, upper-tail, or lower-tail test. Also include a chart (a bar chart or column chart will probably work best) comparing the calculated mean with the hypothesized mean.

COMPLETE PROBLEM 3: You have heard from idle chatter that most students don't declare a major in their MBA programs. You took a sample of 200 students (in the data file). Conduct a one-sample hypothesis test to determine if the proportion without a major is greater than 50%. Use a .05 significance level. Report on your findings (100+ words, 3 or more sentences). In your report, be sure to include the results of the hypothesis test and indicate whether you are using a two-tail, upper-tail, or lower-tail test. Also include a chart (a bar chart or column chart will probably work best) comparing the calculated proportion with the hypothesized proportion.

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#### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included.

Statistical Tests, Hypothesis Testing, p-Values, and Sample Size

1. Classify the following as independent or dependent samples:

a. The effectiveness of two blood pressure medicines on two groups of patients.

b. Measures of gas mileage and speed for a group of racecars.

c. Scores of a group of nurses on the NCLEX nursing license exam.

2. Please answer the following.

a. Explain the difference between testing a single mean and testing the difference between two means.

b. What two assumptions must be met when one is using z test to test differences between two means?

c. When can the sample standard deviations s1 and s2 be used in place of the population standard deviations 1 and 2?

3. Choose a variable. Before you simulate collecting the data, decide what a likely average might be and list all data in part e.; then complete the following:

a. Write a brief statement of purpose of the study and the population to be studied

b. State the hypotheses for the study

c. Select an  value

d. Display all the raw data

e. Decide which statistical test is appropriate and compute the test statistic (z or t). Find the critical values(s)

f. State the decision and summarize the results in a paragraph.

You may obtain raw data from the random number table in the appendix section of your text or from any other sources; including sources on the World Wide Web.

4. Please answer each question below.

a. In what ways is the t distribution similar to the standard normal distribution?

b. In what ways is the t distribution different from the standard normal distribution?

Please specify how the formula for the t test differs from the formula for the z test?

5. Complete the following:

a. Select a variable. Compare the mean of the variable for a sample of 30 for one group with the mean of the variable for a sample of 30 for a second group. Show a hypothetical set of data with a hypothetical mean and standard deviation and show all calculations for conducting a z test with these data.

b. Select a variable. Compare the mean of the variable for a sample of 10 for one group with the mean of the variable for a sample of 10 for a second group. Show a hypothetical set of data with a hypothetical mean and standard deviation and show all calculations for conducting a t test with these data.

c. Select a variable that will enable you to compare proportions of two groups. Use sample sizes of at least 30. Use the z test for proportions to analyze the data.

You may obtain raw data from the random number table in the appendix section of your text or from any other sources; including sources on the World Wide Web.

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