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A hypothesis will be used to test that a population mean equals 11 against the alternative...

A hypothesis will be used to test that a population mean equals 11 against the alternative that the population mean does not equal 11 with known variance σ. What are the critical values for the test statistic Z0 for the significance level of 0.09?

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Solution,

The null and alternative hypothesis is ,

H0 :   = 11

Ha :    11

This is the two tailed test

= 0.09

/2 = 0.045

Z/2 = Z0.045 = 1.695

critical value = 1.695

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