Question

In: Statistics and Probability

Perform the following test of hypothesis. H0: μ=10.70, H1: μ≠10.70, n=47, x¯=12.100, s=4.90, α=0.01. H0 is REJECTED OR NOT REJECTED

Perform the following test of hypothesis.

H0: μ=10.70, H1: μ≠10.70, n=47, x¯=12.100, s=4.90, α=0.01.

H0 is REJECTED OR NOT REJECTED

Expert Solution

Solution :

This is the two tailed test,

The null and alternative hypothesis is ,

H0 : = 10.70

Ha : 10.70

Test statistic = t =

= ( - ) / s / n

= (12.100 - 10.70) / 4.90 / 47

Test statistic = t = 1.96

degrees of freedom = n - 1 = 47 - 1 = 46

P(t > 1.96) = 1-P (t < 1.96) = 1 - 0.972 = 0.028

P-value = 2 * P(t > 1.96)

P-value = 2 * 0.028

P-value = 0.056

= 0.01

P-value >

Fail to reject the null hypothesis

orchestra answered 2 years ago

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