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in the critical region not in the critical region This test statistic leads to a

ID: 2949693 • Letter: I

Question

in the critical region

not in the critical region



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 69.6.

There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 69.6.

The sample data support the claim that the population mean is not equal to 69.6.

There is not sufficient sample evidence to support the claim that the population mean is not equal to 69.6.

You wish to test the following claim (He) at a significance level of ? 0.01. Ho: ? : 69.6 Ha H69.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n- 26 with a mean of M -80.8 and a standard deviation of SD 17.9 What is the critical value for this test? (Report answer accurate to three decimal places.) critical valuet 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 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 69.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 69.6. The sample data support the claim that the population mean is not equal to 69.6 There is not sufficient sample evidence to support the claim that the population mean is not equal to 69.6.

Explanation / Answer

Critical value = +/- 2.576

test statistics:

t = (x -mean)/(s/sqrt(n))
= (80.8 - 69.6)/(17.9/sqrt(26))
= 3.190

the test statistics is in the critical region

Reject teh null hypothesis

There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 69.6.