In: Statistics and Probability
Score on a 100-point test is normally distributed with mean
87.7. You took a sample of...
- Score on a 100-point test is normally distributed with mean
87.7. You took a sample of 36 students. The mean for
this group is 92 and the standard deviation is
15.
- Test the hypothesis that the performance of this group is
different than the regular student population. Use α=.05.
- What is the alternative hypothesis?
- What is the value of the test statistic?
- would you use the t test?
- What is the rejection region?
- the decision is to not reject the null hypothesis. Yes or
No?
-
- Test the hypothesis that the performance of this group is
better than the regular student population, i.e., their score is
greater than the normal population. Use α=.05
- What is the alternative hypothesis?
- What is the rejection region?
- the decision is to not reject the null hypothesis. Yes or
No?
- the 95% confidence interval for the population mean is?
- Score on a 20-point assignment is normally distributed with a
mean of 15 and standard deviation of 5. You believe that your
friends are smarter and that their average is greater. You took a
sample of 9 of your friends. The mean for this group is
18.
- What is the rejection region?
- Would you use the t test?
- The 95% confidence interval for the population mean is