For this discussion post, we are going to practice finding Z and T values for sets of data. We have two scenarios to look at:

Scenario 1 - The average BMI of patients suffering from gout is known to follow a Normal distribution with a mean of 29.6 with a standard deviation of 7.5. We decide to sample some people suffering from gout and find the following from our samples:

Sample 1 - Sample size of 30 with a Mean BMI = 31.8

Sample 2 - Sample size of 50 with a Mean BMI = 31.6

Scenario 2 - The average BMI of patients suffering from gout is known to follow a Normal distribution with a mean of 29.6, but no standard deviation was reported. We decide to sample some people suffering from gout and find the following from our samples:

Sample 1 - Sample size of 30 with a Mean BMI = 27.6, and a sample standard deviation of 6.8

Sample 2 - Sample size of 50 with a Mean BMI = 28.0, and a sample standard deviation of 7.7

Is scenario 1 and 2 calculated correctly what is your response?

For Scenario 1, will you choose to compute a Z or a T value? Explain your reasoning

• For scenario 1 I would choose to compute a Z value because there's a standard deviation. This piece of information allows us to determine how far away the standard deviations from the mean

Compute the Z or T value for each one of your samples. Are either of these samples concerning to us? If so, what reasons may attribute to something like this?

• Scenario 1 Sample 1: -.24
• Scenario 1 Sample 2: 2.5

For Scenario 2, will you choose to compute a Z or a T value? Explain your reasoning

• For scenario 2 I would choose to compute a T value because there's no standard deviation.

Compute the Z or T value for each one of your samples. Are either of these samples concerning to us? If so, what reasons may attribute to something like this?

• Scenario 2 Sample 1: 1.3
• Scenario 2 Sample 2: -1.5