Following are the summary statistics of some test scores (out of 100) sampled from an English and a Mathematics courses: Number of students Mean Standard deviation English 22 75 28 Mathematics 35 61 42 Do students perform better on the English test? (a) Test it at a 0.10 significance level. Use a single tailed test. Test statistic = #4 Critical value = #5 thus, English #6 Math {1. "=", 2. ">", 3. "<"} (b) Find a 80%-confidence interval for the difference in scores (English – Math). #7 < (English – Math) < #8

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please assist to solve question from attached image for #4 to #8

Following are the summary statistics of some test scores (out of 100) sampled from
an English and a Mathematics courses:
Number of students
Mean Standard deviation
English
Mathematics
22
75
28
35
61
42
Do students perform better on the English test?
(a) Test it at a 0.10 significance level. Use a single tailed test.
Test statistic = #4
Critical value = #5
thus, English #6 Math {1. "=", 2. ">", 3. "<"}
(b) Find a 80%-confidence interval for the difference in scores (English – Math).
< (English – Math) <
#8
%23
Transcribed Image Text:Following are the summary statistics of some test scores (out of 100) sampled from an English and a Mathematics courses: Number of students Mean Standard deviation English Mathematics 22 75 28 35 61 42 Do students perform better on the English test? (a) Test it at a 0.10 significance level. Use a single tailed test. Test statistic = #4 Critical value = #5 thus, English #6 Math {1. "=", 2. ">", 3. "<"} (b) Find a 80%-confidence interval for the difference in scores (English – Math). < (English – Math) < #8 %23
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