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?μ0=400 Sample mean= 359.43 Sample standard deviation= 43.16 ?α=0.05 n=7 Test the hypothesis H0 :?μ=400 against...

?μ0=400 Sample mean= 359.43 Sample standard deviation= 43.16 ?α=0.05 n=7

Test the hypothesis H0 :?μ=400 against H1:?μ<<400

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Answer #1

This is the left tailed test .

The null and alternative hypothesis is

H0 : = 400

Ha : < 400

Test statistic = t

= ( - ) / s / n

= (359.43 - 400) / 43.16 / 7

= -2.487

Test statistic = -2.487

df = 6

P-value = 0.0237

= 0.05

P-value <

Reject the null hypothesis .

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