Use the shared results from the Student Data Table and follow the instructions below.

1. Devise a null and alternative hypothesis,then perform a one sample z-testusing alpha=0.05 if our class is taller or shorter than the average human in the United States. Graphically display your answer and statistically write up results. In addition, determine the effect size of this relationship and interpret.

60, 62, 62, 66, 66, 67, 67, 68, 68, 68, 68, 68, 70, 70, 72, 72, 73, 73, 74, 75, 76

Notes:

1. The average height of adults in the United States is 67.03.8 inches. (Note: this is a population SD)
2. Calculate and interpret the effect size (use Cohen's d):

Cohen's d = (M_sample- _population) )

2. Devise a null and alternative hypothesis, then perform a t-test using alpha =0.05 if the students in our class that are born in warm weather months are taller or shorter than those born in cold weather months. Graphically display your answer and statistically write up results. In addition, determine the effect size of this relationship and interpret.

January, February, February, April, May, May, June, June, June, July, July, July, August, August, August, September, October, October, November, November, December

Notes:

1. Population SDs are unknown.
2. Assume the northern hemisphere:

Warm months = April, May, June, July, August, September

Cold months = October, November, December, January, February, March

3.Use Cohen's d effect size:

Cohen's d = (M₂- M₁) SD_pooled) where SD_pooled= ((SD1²+ SD2²) 2)