Lab 9- Hypothesis testing for two samples There are three parts to this lab assignment Part 1: Generating sample data and completing a hypothesis test using StatCrunch In this lab you will generate two sets of sample data which represent simulated bone density scores. Bone density scores are measured as z-scores having a standard normal distribution. Procedure: 1. In StatCrunch, click on Data, then click on Simulate, then select the menu item of Normal. In the dialog box, enter 10 for the number of rows and enter 1 for the number of columns. 2. For the required mean and standard deviation enter for the mean and for the standard deviation. (Hint: What is the mean and standard deviation for the standard normal distribution?) 3. Click on Compute! Repeat this process using 15 for the number of rows. Because the data both are generated using the same mean and standard deviation, they come from the same population. As such, there is the expectation that these samples should have the same mean. After generating the two data sets, use a 0.10 significance level to test the claim that the samples come from populations with the same mean. In the space below, write down the results of your hypothesis test. You must include the following: Null hypothesis, alternative hypothesis, a clearly labeled claim, critical value, test statistic, p-value, and a sketch of the normal curve (with the critical region shaded and the test statistic labeled).

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Lab 9 - Hypothesis testing for two samples
There are three parts to this lab assignment
Part 1: Generating sample data and completing a hypothesis test using StatCrunch
In this lab you will generate two sets of sample data which represent simulated bone density scores. Bone
density scores are measured as z-scores having a standard normal distribution.
Procedure:
1. In StatCrunch, click on Data, then click on Simulate, then select the menu item of Normal. In the
dialog box, enter 10 for the number of rows and enter 1 for the number of columns.
2. For the required mean and standard deviation enter
for the mean and
for the standard deviation. (Hint: What is the mean and standard deviation for the standard
normal distribution?)
Click on Compute! Repeat this process using 15 for the number of rows.
3.
Because the data both are generated using the same mean and standard deviation, they come from the
same population. As such, there is the expectation that these samples should have the same mean. After
generating the two data sets, use a 0.10 significance level to test the claim that the samples come from
populations with the same mean.
In the space below, write down the results of your hypothesis test. You must include the following: Null
hypothesis, alternative hypothesis, a clearly labeled claim, critical value, test statistic, p-value, and a
sketch of the normal curve (with the critical region shaded and the test statistic labeled).
Transcribed Image Text:Lab 9 - Hypothesis testing for two samples There are three parts to this lab assignment Part 1: Generating sample data and completing a hypothesis test using StatCrunch In this lab you will generate two sets of sample data which represent simulated bone density scores. Bone density scores are measured as z-scores having a standard normal distribution. Procedure: 1. In StatCrunch, click on Data, then click on Simulate, then select the menu item of Normal. In the dialog box, enter 10 for the number of rows and enter 1 for the number of columns. 2. For the required mean and standard deviation enter for the mean and for the standard deviation. (Hint: What is the mean and standard deviation for the standard normal distribution?) Click on Compute! Repeat this process using 15 for the number of rows. 3. Because the data both are generated using the same mean and standard deviation, they come from the same population. As such, there is the expectation that these samples should have the same mean. After generating the two data sets, use a 0.10 significance level to test the claim that the samples come from populations with the same mean. In the space below, write down the results of your hypothesis test. You must include the following: Null hypothesis, alternative hypothesis, a clearly labeled claim, critical value, test statistic, p-value, and a sketch of the normal curve (with the critical region shaded and the test statistic labeled).
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