Exercise 9-40 Algo
Consider the following hypotheses:
H_{0}: μ ≥ 160
H_{A}: μ < 160
The population is normally distributed. A sample produces the
following observations:
160 | 142 | 152 | 159 | 158 | 140 |
Conduct the test at the 5% level of significance. (You may find it useful to reference the appropriate table: z table or t table)
a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
b. Find the p-value.
p-value < 0.01
c. What is the conclusion?
Do not reject H_{0} since the p-value is less than the significance level.
Do not reject H_{0} since the p-value is greater than the significance level.
Reject H_{0} since the p-value is less than the significance level.
Reject H_{0} since the p-value is greater than the significance level.
d. Interpret the results αα =
0.05.
We cannot conclude that the population mean is less than 160.
We conclude that the population mean is less than 160.
We cannot conclude that the population mean is greater than 160.
We conclude that the population mean is greater than 160.
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