Question

Consider the hypotheses shown below. Given that x overbar equals41​, sigma equals12​, nequals 36​, alpha equals0.05 ​, complete parts a and b. Upper H 0 ​: mu less than or equals38Upper H 1 ​: mu greater than38 a. What conclusion should be​ drawn? b. Determine the​ p-value for this test.

Answer 1

Given that :

n=36

Hypothesis :

TEST STATISTIC :

i.e standard normal distribution

Table value

Decision rule :

if Then we reject Ho at 5% level of significance

here

Therefore ,

Decision : We cannot reject Ho at 0.05 level of significance

& p-value = 0.066807

Decision rule

if p-value < 0.05 then we reject Ho

here 0.066807> 0.05

Decision : We cannot reject Ho at 0.05 level of significance