Recall Exercise 2.CE.13 about healthy human body temperatures. Suppose you are testing the following hypotheses: H₀: μ = 98.6°F, H_a: μ ≠ 98.6°F. You recruit 30 healthy subjects and find their mean body temperature is 98.4°F with a SD of 0.75°F. From this, you calculate a p-value of 0.15. For each of the individual changes in your summary statistics in (a)–(g) (without changing anything else) indicate whether the p-value would get smaller, larger, or stay the same. 

a. A larger sample size 

b. A smaller sample size 

c. A sample mean of 98.2°F 

d. A sample mean 98.8°F 

e. A sample mean of 98.7°F 

f. A larger sample standard deviation 

g. A smaller sample standard deviation

Data from Exercises 13

Suppose you are testing to see whether human body temperatures tend to be lower than 98.6°F (what is thought to be the average body temperature) with the following hypotheses: H₀: μ = 98.6°F, H_a: μ < 98.6°F. You recruit 30 healthy subjects and find their mean body temperature is 98.4°F with a SD of 0.75°F. From this, you calculate a p-value of 0.08. For each of the individual changes in your summary statistics in (a)–(f) (without changing anything else) indicate whether the p-value would get smaller, larger, or stay the same.