3. Open the FALL16STDATA.MTW dataset. Assume that this is a sample that is representative of the population of all World Campus STAT 200 students. [50 points]

A. We want to know if males and females differ in terms of their heights. Write the null and alternative hypothesis using the appropriate symbols.

B. What statistical procedure should be used to determine if there is a difference between the mean heights of males and females in the population of all World Campus STAT 200 students? Explain why

 

C. For the height variable, are the standard deviations for males and females similar or different? (Hint: If one is more than twice of the other they are different.)

 

D. Compute the appropriate test statistic to test your hypotheses from part A. (I strongly encourage you do to this in Minitab Express and NOT by hand)

 

E. What is the p value for the test statistic in part D?

 

F. Is your decision to reject or fail to reject the null hypothesis from part A? Explain why

 

G. Is there statistical evidence that the mean heights of males and females are different in this population?

 

H. How could you answer this research question using a confidence interval? (You don’t have to actually do it, just explain what you could do.)

 

I. Construct a 95% confidence interval for the difference in the proportion of males and females who own wearable technology.

 

J. Interpret the 95% confidence interval that you constructed in part I.

 

K.  A research team hypothesizes that people who are dieting are more likely to own wearable technology. Use the five-step hypothesis testing procedure to determine if there is evidence to support this claim.

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

 

 

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