0oenoik Caoie or technology to answer this question Independent random samples taken on two university campuses revealed the fullowing information concerning the average amount of money spent on textbooks during the lall semester The population standard deviations are also shown below University A University Sample Size 47 36 Average Purchase $258 $247 Standard Deviation () $21 $25 We want to determine , on the average, students at University A spent mere on textbooks than the students at University (a) Formulate hypotheses so that, ir the null hypothesisi rejected, we can concude that students at Univernity A spert more than students at Universty Ho MA 0 ", MA 0

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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You may need to use the appropriate appendix table or technology to answer this question.
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 a
Sample Size
47
36
Average Purchase
$258
$247
Standard Deviation (0)
$21
$25
We want to determine if, on the average, students at University A spent more on textbooks than the students at University
(a) Formulate hypotheses so that, if the null hypothesis is rejected, we can concude that students at University A spent more than students at universty a.
lo Mo HA-> o
lo "o PA-- o
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. 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 a Sample Size 47 36 Average Purchase $258 $247 Standard Deviation (0) $21 $25 We want to determine if, on the average, students at University A spent more on textbooks than the students at University (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can concude that students at University A spent more than students at universty a. lo Mo HA-> o lo "o PA-- o
H MA " Ha0
Ho HA Ha S0
H MA- H >0
H MA 0
(b) Compute the test statistic. (Use University A - University B. Round your answer to three decimal places.)
(c) Compute the p-value (Round your answer to three decimal places.)
p-value
(d) What is your conclusion? Use a0.02.
Do not reject H. We can conclude that students at University A spent mnore than students at University B.
Reject H We can concude that students at University A spent more than students at University B.
Reject H We cannot conclude that students at University A spent more than students at Univenity B.
Do not reject H We cannot condlude that students at University A spent more than students at
University B
Transcribed Image Text:H MA " Ha0 Ho HA Ha S0 H MA- H >0 H MA 0 (b) Compute the test statistic. (Use University A - University B. Round your answer to three decimal places.) (c) Compute the p-value (Round your answer to three decimal places.) p-value (d) What is your conclusion? Use a0.02. Do not reject H. We can conclude that students at University A spent mnore than students at University B. Reject H We can concude that students at University A spent more than students at University B. Reject H We cannot conclude that students at University A spent more than students at Univenity B. Do not reject H We cannot condlude that students at University A spent more than students at University B
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