A hypothesis test is conducted to test whether the mean age of clients at a certain health spa is equal to 25 or not. It is known that the population standard deviation of clients at the spa is 10 years. 36 clients are randomly selected, and their ages recorded, with the sample mean age being 22.8 years. What is your decision, at the 5% level of significance, regarding the null hypothesis that the mean age is equal to 25?
A hypothesis test is conducted to test whether the
What is your decision, at the 5% level of significance, regarding the null hypothesis that the mean age is equal to 25?
| A. |
reject the null hypothesis at the 5% level of significance and conclude that the mean age of clients at the spa is less than 25 |
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| B. |
reject the null hypothesis at the 5% level of significance and conclude that the mean age of clients at the spa is not equal to 25 |
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| C. |
reject the null hypothesis at the 5% level of significance and conclude that the mean age of clients at the spa is more than 25 |
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| D. |
do not reject the null hypothesis at the 5% level of significance and conclude that the mean age of clients at the spa is 25 |
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| E. |
do not reject the null hypothesis at the 5% level of significance and conclude that the mean age of clients at the spa is less than 25 |
Please explain. Thank you.
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