Question

Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Claim: μ = 1350; α = 0.01; σ = 82 Sample statistics: = 1320, n = 35  

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :   = 1350

H_a : 1350

Test statistic = z

= ( - ) / / n

= (1320 - 1350) / 82 / 35

Test statistic = -2.16

P-value = 0.0304

= 0.01

P-value >

Fail to reject the null hypothesis .

There is no sufficient evidence to support the claim.