michael2012301Lv1

3 Dec 2023

You want to test the claim that, on average, it takes more than 6060 minutes for the caffeine in a cup of coffee to take effect on the body. So you take a random sample of 25 people and record the time, in minutes, that it takes for the amount of caffeine in a cup of coffee to have a physiological effect on each person. Does the sample provide sufficient evidence to support your claim at the 0.01 level of significance? (You have good reason to believe that, for a substance like caffeine, the population standard deviation is approximately 6 minutes.)

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1. What are the null and alternative hypotheses?
   H0�0:  Select an answer   n   s   μ   x̄   σ  Correct  ?   ≠   >   =   ≤   <   ≥  Correct Correct
   Ha��:  Select an answer   x̄   s   μ   n   σ  Correct  ?   ≥   <   ≠   ≤   =   >  Correct Correct
   
   
2. What type of tailed test should we run?  Select an answer   left-tailed   right-tailed   two-tailed  Correct
   
   
3. What type of test should we run in terms of the distribution?  Select an answer   F-test   p-test   t-test   z-test  Correct
   
   
4. Enter in your critical value(s) rounded to four decimal places. If there is more than one critical value, enter them separated by a comma.
   Correct2.3263
   
   
5. The rejection region consists of all  Select an answer   z-values   p-values   F-values   t-values   that are  Select an answer   less than or equal to   greater than or equal to   outside of   . (If you chose the outside of option, enter in the two values separated by a comma.)
   
   
6. The sample mean ¯x=�¯= minutes. (rounded to four decimal places)
   The test statistic is . (rounded to four decimal places)
   
   
7. The correct decision is to  Select an answer   Fail to reject the null hypothesis H_0.   Reject the null hypothesis H_0.   .
   
   
8. At the given significance level, the correct conclusion is:
   • At the 0.010.01 significance level, the sample data does not provide sufficient evidence to support the claim that on average, at the population level, it takes more than 6060 minutes for the caffeine in a cup of coffee to take effect on the body.
   • At the 0.010.01 significance level, the sample data provides sufficient evidence to support the claim that on average, at the population level, it takes more than 6060 minutes for the caffeine in a cup of coffee to take effect on the body.
   
   
   
9. Given your decision above, you run the risk of having made a  Select an answer   Type II error   Type I error   .