Question

E IV. USE THE INFORMATION BELOW TO ANSWER PROBLEMS 12-15 A simple random sample of 27 people from a diverse population have an average body temperature of 97.9 degrees with a standard deviation of 0.18 degrees. At the 1% significance level, can we conclude that the population from which the sample has a body temperature lower than the accepted 98.6 degrees? Below is the appropriate StatCrunch output for the problem. Assume that body temperature follows an approximate normal distribution. Std. Dev. SE Mean т P Value Temp 27 97.9 0.18 0.03464 -20.207 <0.0001 n Mean 12. Pick the most appropriate answer below concerning the formulation of the null and alternative hypotheses to determine whether the body temperature appears to be lower than the accepted 98.6 degrees based on this data. a) Horn = 98.6 HAH 98.6 b) Ho: = 98.6 H: < 98.6 c) Ho:p = 98.6 HA:p> 98.6 d) Ho: P = 98.6 HAP*986 e) None of the above 13. What is the smallest significance level that would allow us to conclude Hy is true? a) 0.10 b) 0.05 14. c) 0.015 d) 0.01 e) All of the above Choose the most appropriate portion below from the conclusion for the hypothesis test above at the 1% significance level. At the 1% significance level, there is sufficient evidence to conclude that human body temperature is less than 98.6 degrees. b) At the 1% significance level, there is insufficient evidence to conclude that human body temperature is less than 98.6 degrees. c) There is not enough information given to make a conclusion. 88 WORDS a) Leave PAGE 1 OF 1

Answer 1

12)

b)

H0: mu=98.6

H1: mu<98.6

( because we want to test the hypothesis, body temperature appears to be lower than acccepted 98.6 degree or not)

13)

d) 0.01

( 1% significance allow us to conclude Ha is true, because p-value=0.0001<0.01)

14)

a) At the 1% significance level, ther is sufficient evidence to cocnclude that human body temperature is less than 98.6 degrees.

( because p-value=0.0001<alpha=0.01)