Question
You wish to test the following claim (HaHa) at a significance level of =0.001=0.001. Ho:=82.6Ho:=82.6 Ha: <82.6Ha: <82.6 You believe the population is normally distributed,
You wish to test the following claim (HaHa) at a significance level of =0.001=0.001. Ho:=82.6Ho:=82.6 Ha:<82.6Ha:<82.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:
94.9 | 76.5 | 58.3 | 94.2 | 83 |
112 | 68.8 | 76.9 | 86 | 82.5 |
71.3 | 78.3 | 120.2 | 86.5 | 91.6 |
83.5 | 60.5 | 81.6 | 78.3 | 76.9 |
68.3 | 80.6 | 82.1 | 60.5 | 66.1 |
61.9 | 101 | 89.8 | 90.4 | 104.5 |
81.6 | 98.1 | 83 | 70.8 | 65.6 |
80.2 | 107.7 | 91.6 | 73.7 | 63.8 |
59.1 | 82.1 | 88.7 | 98.1 | 82.5 |
What is the test statistic for this sample? (Report answer accurate to three 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 less than 82.6.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 82.6.
- The sample data support the claim that the population mean is less than 82.6.
- There is not sufficient sample evidence to support the claim that the population mean is less than 82.6.
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