Homework SourseIn order to conduct a hypothesis test of the population mean
In order to conduct a hypothesis test of the population mean, a random sample of 26 observations is drawn from a normally distributed population. The resulting mean and the standard deviation are calculated as 6.2 and 2.2, respectively. Use Table 2.
Use the p-value approach to conduct the following tests at = 0.10.
H0: 5.8 against HA: > 5.8
a-1.
Calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places and your answer to 2 decimal places.)
a-2.
Approximate the p-value.
a-3.
What is the conclusion?
H0: = 5.8 against HA: 5.8
b-1.
Calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places and your answer to 2 decimal places.)
b-2.
Approximate the p-value.
b-3.
What is the conclusion?
| In order to conduct a hypothesis test of the population mean, a random sample of 26 observations is drawn from a normally distributed population. The resulting mean and the standard deviation are calculated as 6.2 and 2.2, respectively. Use Table 2. |
Solution
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The P-Value is .18137.
a2) 0.100 < p-value < 0.200
a3) Do not reject H0 since the p-value is greater than .
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b1) test statistic = 0.9271
The P-Value is .362739.
b2) 0.200 < p-value < 0.400
b3) Do not reject H0 since the p-value is greater than .
| n | 26 |
| x bar | 6.2 |
| s | 2.2 |
| sem | 0.431455 |
| test statistic | 0.927094 |
