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3) For the hypothesis test Ho: u = 5 against Hi: u < 5 with variance unknown and n = 12, approximate the P-value for each of

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Answer #1

Solution,

degrees of freedom = n - 1 = 12 - 1 = 11

This is left tailed test,

a) Test statistic = 2.05

P(t < 2.05 )

P-value = 0.9675

b) Test statistic = -1.84

P(t < -1.84 )

P-value = 0.0464

c) Test statistic = 0.4

P(t < 0.4 )

P-value = 0.6516

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