Question

You wish to test the following claim (H) at a significance level of a = 0.001. H:u= 89.1 H :u + 89.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 89.3 88.7 102 95.9 84.6 99.8 93.9 88.3 96.9 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... in the critical region not in the critical region

Answer 1

The statistic software output for this problem is:

sample T hypothesis test: uMean of variable Ho 89.1 HA U89.1 Hypothesis test results: Variable Sample Mean Std. Err. DF T-Stat P-value data 93.266667 1.9573934 8 2.1286813 0.0659

Critical value = +/-3.707

Test statistics = 2.128

Onot in the critical region

Ofail to reject the null

OThere is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.1