A random sample of nine students was selected to test for the effectiveness of a special course designed to improve memory. The following table gives the scores of a memory test given to these students before and after this course. Before 77 76 35 74 71 52 60 55 40 After 41 67 77 72 48 44 55 79 71 Assume that the population of paired differences has a normal distribution. a. Construct a 99.8% confidence interval for the mean Ha of population paired differences, where a paired difference is defined as the difference between the memory test scores of a student before and after attending this course. Round your answers to one decimal place. The 99.8% confidence interval for the mean Ha of population paired differences is i to eTextbook and Media b. Test at the 2.5% significance level whether this course makes any statistically significant improvement in the memory of all students. Find the value of the test statistic t. Round your answer to one decimal place. The value of the test statistic t is i

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A random sample of nine students was selected to test for the effectiveness of a special course designed to improve memory. The
following table gives the scores of a memory test given to these students before and after this course.
Before 77 76 35 74 71 52 60 55 40
After
41 67 77 72 48 44 55 79 71
Assume that the population of paired differences has a normal distribution.
a. Construct a 99.8% confidence interval for the mean Ha of population paired differences, where a paired difference is defined as
the difference between the memory test scores of a student before and after attending this course.
Round your answers to one decimal place.
The 99.8% confidence interval for the mean Ha of population paired differences is i
to
eTextbook and Media
b. Test at the 2.5% significance level whether this course makes any statistically significant improvement in the memory of all
students. Find the value of the test statistic t.
Round your answer to one decimal place.
The value of the test statistic t is i
Transcribed Image Text:A random sample of nine students was selected to test for the effectiveness of a special course designed to improve memory. The following table gives the scores of a memory test given to these students before and after this course. Before 77 76 35 74 71 52 60 55 40 After 41 67 77 72 48 44 55 79 71 Assume that the population of paired differences has a normal distribution. a. Construct a 99.8% confidence interval for the mean Ha of population paired differences, where a paired difference is defined as the difference between the memory test scores of a student before and after attending this course. Round your answers to one decimal place. The 99.8% confidence interval for the mean Ha of population paired differences is i to eTextbook and Media b. Test at the 2.5% significance level whether this course makes any statistically significant improvement in the memory of all students. Find the value of the test statistic t. Round your answer to one decimal place. The value of the test statistic t is i
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