Question

Consider the hypotheses shown below. Given that

x overbarxequals=41​,

sigmaσequals=13​,

nequals=36​,

alphaαequals=0.10​,

complete parts a and b.

Upper H 0H0​:

muμless than or equals≤39

Upper H 1H1​:

muμgreater than>39

​a) What conclusion should be​ drawn? ​b) Determine the​ p-value for this test.

A) z-test statistic is?

b) P value is?

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H₀ :   = 39

H_a : > 39

Test statistic = z

= ( - ) / / n

= (41 - 39) / 13 / 36

= 0.92

P(z > 0.92) = 1 - P(z < 0.92) = 0.1788

P-value = 0.1788

= 0.10

P-value >

Fail to reject the null hypothesis .