Question

# You wish to test the following claim ( H a ) at a significance level of...

You wish to test the following claim ( H a ) at a significance level of α = 0.01 . H o : μ = 59.6 H a : μ ≠ 59.6 You believe the population is normally distributed and you know the population standard deviation is σ = 8.7 . You obtain a sample mean of ¯ x = 64.2 for a sample of size n = 21 . What is the test statistic for this sample? test statistic = Round to 3 decimal places What is the p-value for this sample? p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 59.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 59.6. The sample data support the claim that the population mean is not equal to 59.6. There is not sufficient sample evidence to support the claim that the population mean is not equal to 59.6.

TOPIC:One sample z-test for the population mean.

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