1. Answer the questions in B5 with the following research scenario and data. As you read through the instructions it will ask for you to move two values over to the Test Variable(s). You will only move the variable BMI. See the answer in this week’s assignment. You will see a reference to a t-test in this question. The t-test will be covered in much more detail next week.

1. The following is a sample of 17 BMI calculations for set of adults located in a rural setting in an Appalachian state. It is known that a normal BMI for the state is 21. Set up the Null and Alternate Hypotheses and test the claim that the Appalachians’ located in a rural setting have a significantly higher BMI than the rest of state.

1. 21 will be used as your test value and only one variable is moved over. Check at confidence level of 95% or α = 0.05.

21 23 25 18 17 16 21 31 32 23 24 24 25 14 27 25 21

Research Questions

For each of the following, find the appropriate probability from the z-score. Determine the pvalue and compare it to the level of significance. State whether you accept or reject the Null Hypothesis. Make sure to show all your work. Assume a sample size greater than 30.

1. H0 : µ >= 50, H1:< 50, Z = 3.00, α = 0.05
2. H0 : µ >= 50, H1:< 50, Z = 0.25, α = 0.01
3. A hospital call center claims that the average response time for a phone call is less than 2 minutes per phone call. Check at α = 0.05. Assume a two tail test.

1. State the Null and Alternate Hypothesis. Similar to "1" and "2" above.

Using summarized data from a sample of 35, test the Hypothesis you created in 3(a) above. Calculate the Z-score and decide if you will reject or accept the Null Hypothesis. Calculate the pvlaue. The following data was collected to check the claim. Check at α = 0.05. (Hand calculate the Z-score)

1. Actual Mean = 3.0 Minutes
2. Standard Deviation = 0.32 minutes
3. Sample Size equals 35

4) The attached file ArmyExerciseData are exercise capacities (minutes) for army inductees after a new training method was introduced. The capacity was measured with a bicycle ergometer. It is known that the mean for all army inductees equals 26.5 minutes. The army claims that the new training method significantly improved the time until a recruit was tired. Assume the data is normal. Using SPSS, answer the following questions with the data attached. Assume a two tail test.

1. State the Null and Alternate Hypotheses.
2. Consider Outliers and Missing Values as you have in previous assignments. Use Explore.
3. Handle Calculate a 95% Confidence Interval.
4. Verify your hand calculated(c above) 95% Confidence Interval for the Sample Mean by using SPSS.
5. Use SPSS to calculate the pvalue. See B5.
6. Evaluate your Hypothesis test at a level α = 0.05. Can the Army’s claim be supported? Make sure to include your pvalue, Zscore and level of significance in your evaluation. Be as detailed as possible.
   1. Does your Confidence Interval agree with your evaluation of the Hypothesis test in "f" above? Why?
7. What is the probability of a Type 1 Error? What does this mean?

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