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Assume that a hypothesis test will be conducted using a significance level of α = 0.01...

Assume that a hypothesis test will be conducted using a significance level of α = 0.01 and null hypothesis Ho: μ = 21. Furthermore, assume that the following sample data will be used: n = 12, x-bar = 22.2, and s = 2.1 Find the p-value for the test. 0.0478 0.1466 0.0733 0.9227

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Answer #1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   = 21

Ha : 21

Test statistic = t

= ( - ) / s / n

= (22.2 - 21) / 2.1 / 12 = 1.979

Test statistic = t = 1.979

P(z > 1.979) = 1 - P(z < 1.979) = 1 - 0.9761 = 0.0239

P-value = 2 * 0.0239 = 0.0478

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