Question

You wish to test the following claim (H1) at a significance level of α=0.01.

      Ho:μ=82.6
      H1:μ>82.6

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

data

84.2

79.3

95

87.8

81.6

86.2

82.9

112.6

102.1

85

96.7

67.3

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

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 82.6.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 82.6.
• The sample data support the claim that the population mean is greater than 82.6.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 82.6.

Answer 1