A professor wants to observe the time (in hours) students spent to study per day. A random sample of 25 students was taken from University A and 17 students from University B. The data was collected and the results as follows: University A ", = 25 n =17 F, = 1.10 I, =1.07 si = 0.015 s를 =0.017 University B The professor claims that students in University A spent more time to study. (i) Test for the professor's claim at 5% level of significance. Find a 90% confidence interval on the difference between average time University A's and University B's students spent to study. (ii) (iii) Interpret the answer in (ii), based on the claim made by the professor.

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Author:Amos Gilat
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(b) A professor wants to observe the time (in hours) students spent to study per day. A
random sample of 25 students was taken from University A and 17 students from
University B. The data was collected and the results as follows:
University A
I, = 1.10
I, =1.07
si = 0.015
s; = 0.017
n, = 25
University B
n, = 17
The professor claims that students in University A spent more time to study.
(i)
Test for the professor's claim at 5% level of significance.
(ii)
Find a 90% confidence interval on the difference between average time
University A's and University B's students spent to study.
(iii)
Interpret the answer in (ii), based on the claim made by the professor.
Transcribed Image Text:(b) A professor wants to observe the time (in hours) students spent to study per day. A random sample of 25 students was taken from University A and 17 students from University B. The data was collected and the results as follows: University A I, = 1.10 I, =1.07 si = 0.015 s; = 0.017 n, = 25 University B n, = 17 The professor claims that students in University A spent more time to study. (i) Test for the professor's claim at 5% level of significance. (ii) Find a 90% confidence interval on the difference between average time University A's and University B's students spent to study. (iii) Interpret the answer in (ii), based on the claim made by the professor.
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