Standard Deviation (o) We want to determine if, on the average, students at University A spent more on textbooks than the students at University B. (a) Compute the test statistic. (Use University A - University B. Round your answer to two decimal places.) (b) Compute the p-value. (Round your answer to four decimal places.) p-value= (c) What is your conclusion? Use a -0.02. O Do not reject H. We can conclude that students at University A spent more than students at University B.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Independent random samples taken on two university campuses revealed the following information concerning the average amount of money spent on textbooks during the fall semester. The population standard
deviations are also shown below.
University A University B
Sample Size
53
43
Average Purchase
$259
$249
Standard Deviation (σ)
$21
$24
We want to determine if, on the average, students at University A spent more on textbooks than the students at University B.
(a) Compute the test statistic. (Use University A - University B. Round your answer to two decimal places.)
(b) Compute the p-value. (Round your answer to four decimal places.)
p-value=
(c) What is your conclusion? Use a = 0.02.
○ Do not reject Ho. We can conclude that students at University A spent more than students at University B.
Reject Ho. We can conclude that students at University A spent more than students at University B.
Do not reject Ho. We cannot conclude that students at University A spent more than students at University B.
Reject Ho. We cannot conclude that students at University A spent more than students at University B.
Transcribed Image Text:Independent random samples taken on two university campuses revealed the following information concerning the average amount of money spent on textbooks during the fall semester. The population standard deviations are also shown below. University A University B Sample Size 53 43 Average Purchase $259 $249 Standard Deviation (σ) $21 $24 We want to determine if, on the average, students at University A spent more on textbooks than the students at University B. (a) Compute the test statistic. (Use University A - University B. Round your answer to two decimal places.) (b) Compute the p-value. (Round your answer to four decimal places.) p-value= (c) What is your conclusion? Use a = 0.02. ○ Do not reject Ho. We can conclude that students at University A spent more than students at University B. Reject Ho. We can conclude that students at University A spent more than students at University B. Do not reject Ho. We cannot conclude that students at University A spent more than students at University B. Reject Ho. We cannot conclude that students at University A spent more than students at University B.
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