Question

Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.

Claim: μ ≠ 95; α = 0.05; s = 1.53
Sample statistics: x = 94.1, n = 12

		Fail to reject H0. There is not enough evidence at the 5% level of significance to support the claim.
		Reject H0. There is enough evidence at the 5% level of significance to reject the claim.
		Reject H0. There is enough evidence at the 5% level of significance to support the claim.

Answer 1

Solution :

The null and alternative hypothesis is ,

=95

=94.1

s =1.53

n =12

This will be a two tailed test because the alternative hypothesis is showing a specific direction

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   =95

Ha :    95

Test statistic = z

= ( - ) / / n

= (94.1-95) / 1.53 / 12

= -2.04

2*P(z<-2.04) = 0.0414

P- value = 0.0414

= 5% = 0.05  

0.0414 < 0.05

P-value <

Reject the null hypothesis .

Reject HO. There is enough evidence at the 5% level of significance to support the claim