Question

In a test of the hypothesis

Upper H 0 : mu = 10 versus Upper H Subscript a Baseline : mu not = 10 a sample of n= 50 observations possessed mean x overbar = 10.8 and standard deviation s =3.3.

Find and interpret the? p-value for this test.

The? p-value for this test is =.? (Round to four decimal places as? needed.) Interpret the result.

Choose the correct answer below.

A. There is sufficient evidence to reject Upper H 0 for alphagreater than0.09.
B. There is sufficient evidence to reject Upper H 0 for alphaless than0.09.
C. There is insufficient evidence to reject Upper H 0 for alphaequals0.15.

Answer 1

Explanation:

Given that

sample size =n= 50

x bar = sample mean = 10.8

s = sample std deviation = 3.3

Mean difference = 50-10 = 40

Std error of sample = std dev / sqrt n=
`(3.3)/(√(40) ) =0.5218`

Since population std dev is not known, we have to use t test

Test statistic t = Mean diff/std error =
`(40)/(0.5218) =76.66`

df = 39

p value = 0.0000

Since p < 0.09 our significance level, we reject our null hypothesis.

A. There is sufficient evidence to reject Upper H 0 for alpha greater than 0.09