Question

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 T P Value Temp 27 97.9 0.18 0.03464 -20.207 <0.0001 Mean n 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) Hou = 98.6 H: 98.6 b) H:=98.6 HAH < 98.6 c) Ho: P = 98.6 HAP > 98.6 d) Hop=98.6 HAP 98.6 e) None of the above What is the smallest significance level that would allow us to conclude He is true? a) 0.10 b) 0.05 c) 0.015 d) 0.01 e) All of the above 13. 14 Choose the most appropriate portion below from the conclusion for the hypothesis test above at the 1% significance level. a) 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. Thermitanush infection auto make conclusion PAGE 1 OF 1 BB WORDS Leave 7:04 PM 7/30/2020

Answer 1

Answer--->>

​​​​Decision Rule by using p-value :-

Reject H_{​​​​​​0} if the p-value < level of significance = $\alpha$ otherwise fail to Reject H_{​​​​​​0}.

Given that ,

Sample size = n = 27 , sample mean = xbar = 97.9

Sample standard deviation = s = 0.18

We want test is there enough evidence to conclude that population from which sample has a body temperature lower than the accepted 98.6 degrees . 12).

Null and alternative hypothesis is

b) H₀ ​​​​​​:-  $\mu$ = 98.6

H_{​​​​​​A}:- $\mu$ < 98.6

13).

The smallest significance level that would allow us to conclude H_{​​​​​​0} is true is

d) 0.01

14).

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