1. You wish to test the following claim (H1H1) at a significance level of =0.10 Ho:=53.6 H1:53.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

38.1	61.5	38.1	56.8
56.2	49.2	50.5	84.9
51.3	41.4	61.5	67.9
39.4	62.4	31	54.5
62.4	72.9	54.9	71.8
72.3	52.4	52.1	72.3
72.9	65	64.7	51.3
56.5	51.7	64.7	52.1
70.4	81.1	63	55.5
72.3	60.2	64.3	68.7

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 53.6.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 53.6.
• The sample data support the claim that the population mean is not equal to 53.6.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 53.6.

2. You wish to test the following claim (H1H1) at a significance level of =0.01 Ho:=63.5 H1:>63.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

data

71.5

91.8

113.3

63.3

99.5

61.6

101.7

91.3

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 greater than 63.5.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 63.5.
• The sample data support the claim that the population mean is greater than 63.5.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 63.5.