Question

NFL Players and heights

A.Q. Shipley 73
Evan Boehm 74
Taylor Boggs 75
Justin Bethel  72
Harlan Miller   72
Cariel Brooks    69
Mike Jenkins   70
Jerraud Powers   70
Asa Jackson   70
Shaun Prater   70
Ronald Zamort   70
Brandon Williams   71
Elie Bouka   73
Patrick Peterson   73
Trevon Hartfield   74
Chandler Jones   77
Tristan Okpalaugo   78
Frostee Rucker   75
Corey Peters   75
Red Bryant   76
Ed Stinson   76
Olsen Pierre   76
Robert Nkemdiche   76
Rodney Gunter   77
Josh Mauro   78
Calais Campbell   80
Earl Watford   75
Jake Bernstein   76
Evan Mathis   77

DeSean Jackson 70

Part 1

1. Using StatCrunch, find the data file, NFL Players 2016(created in Jan 2017)  You are to use the function “Sample” under Data to generate a random sample of 30 players and their respective heights.  Print this list, label as Part 1 and attach to this sheet
2. Assume the population standard deviation is 65.   Find a 95% confidence interval for your sample mean.      [___________________,________________________]
3. Suppose someone with some authority claims that the actual population mean is 79.  You think the mean is actually less than that. You are to conduct an appropriate hypothesis test on the mean using your sample mean.

State the null hypothesis                        H₀:  

State the alternative hypothesis             H_a:  

4. Use appropriate test to accept or reject the null hypothesis at alpha = .05

What hypothesis test did you use (z-test; t-test; 1-proportion z-test)? __________________ Enter your test statistic: ___________

Roughly sketch the appropriate curve and label with your critical values and your test statistic:

5. Circle one:        Insufficient evidence to reject the null hypothesis          Reject the null hypothesis

Part 2

1. Using StatCrunch, using the same data file, NFL Players 2016.  You are to use the function “Sample” under Data to generate a second(different) random sample of 30 players and their respective heights.  Print this list, label as Part 2 and attach to this sheet
2. Assume you do notknow the population standard deviation, find the 95% confidence interval for your sample mean.   [___________________,________________________]
3. Suppose population mean is 74, would that value fall within your confidence interval?    ______   What percent of the time might it NOT fall within your confidence interval? _______%
4. Suppose the null hypothesis is that the mean is 74, and the alternative hypothesis is that it is NOT equal to 74

State the null hypothesis                        H₀:  

State the alternative hypothesis             H_a:  

5. Use appropriate hypothesis test to accept or reject the null hypothesis at alpha = .01

What test did you use? __________________ Enter your test statistic: ___________Roughly sketch the appropriate curve and label with your critical values and your test statistic:

6. Circle one:       Insufficient evidence to reject the null hypothesis          Reject the null hypothesis

Answer 1