Question

Using the following information, perform the indicated hypothesis test. μ = 10 μ ≠ 10 α = 0.05 Sample mean = 11.6, Sample standard deviation = 3.1, Sample size = 32

1- The test statistic is ? (rounded to 1 decimal place)

2-The positive critical value for the hypothesis test is ?

Answer 1

Solution :

= 10

=11.6

S =3.1

n = 32

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 10

Ha :     10

Test statistic = t

= ( - ) / S / n

= (11.6-10) / 3.1 / 32

= 2.92

Test statistic = t = 2.92

The significance level is α =0.05, and the critical value for a two-tailed test is tc​ = 2.04

P-value =0.0065

= 0.05  

P-value <

0.0065 < 0.05

Reject the null hypothesis .

There is sufficient evidence to suggest that