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You conduct a survey of a sample of 25 members of this year’s graduating business students...

You conduct a survey of a sample of 25 members of this year’s graduating business students and find that the average GPA is 3.2. The standard deviation of the sample is 0.4. Over the last 10 years, the average GPA has been 3.0. Is the GPA of this year’s students significantly different from the long-run average?

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Answer #1

H0: = 3

Ha: 3

Test statistics

t = - / S / sqrt(n)

= 3.2 - 3 / 0.4 / sqrt(25)

= 2.5

This is test statistics value.

Critical value at 0.05 level at 24 df = -2.064 , 2.064

Since test statistics falls in rejection region, reject H0.

We conclude that we have sufficient evidence to support the claim.

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