1. You wish to test the following claim (H1) at a significance level of =0.002 Ho:=77.4 H1:77.4 You believe the population is normally distributed and you know the standard deviation is =6.2. You obtain a sample mean of M=80.1 for a sample of size n=30. What is the critical value for this test? (Report answer accurate to four decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to four 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 77.4.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 77.4.
• The sample data support the claim that the population mean is not equal to 77.4.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 77.4.

2. You wish to test the following claim (H1) at a significance level of =0.05. Ho:=73.6 H1:73.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=789 with mean x=75.5 and a standard deviation of s=13.4 What is the test statistic for this sample? (Report answer accurate to four decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is...

• less than (or equal to)
• greater than

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 73.6.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 73.6.
• The sample data support the claim that the population mean is not equal to 73.6.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 73.6.