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A sample of 40 statistics exam showed a mean grade of 92.67 with a standarddeviation of...

A sample of 40 statistics exam showed a mean grade of 92.67 with a standarddeviation of 1.79. Using significance level of 5%, determine whether there is sufficient evidenceto support the claim that the new information is different from 92.84 using p-value approach.

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Answer #1

This is the two tailed test .

The null and alternative hypothesis is

H0 : = 92.84

Ha : 92.84

Test statistic = t

= ( - ) / s / n

= (92.67 - 92.84) / 1.79 / 40

Test statistic = -0.6006

df = 39

P-value = 0.5515

= 0.05

P-value >

Fail to reject the null hypothesis .

There is sufficient evidence to conclude that the

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