Q2. Direct Mailing Company sells computers and computer parts by mail. The company claims that at least 90% of all orders are mailed within 48 hours after they are received. The quality control department at the company often takes samples to check if this claim is valid. A recently taken sample of 160 orders showed that 140 of them were mailed within 48 hours. (a) Mention required conditions of the large sample for testing proportion and check these for the above problem. (b) Test at 1% level of significance the hypothesis that the percentage of all orders are mailed within 48 hours is less than 90%.

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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Bus-173 (Applied Statistics) :

Q2. Direct Mailing Company sells computers and computer parts by mail. The company claims that at least
90% of all orders are mailed within 48 hours after they are received. The quality control department at
the company often takes samples to check if this claim is valid. A recently taken sample of 160 orders
showed that 140 of them were mailed within 48 hours.
(a) Mention required conditions of the large sample for testing proportion and check these for the
above problem.
(b) Test at 1% level of significance the hypothesis that the percentage of all orders are mailed within
48 hours is less than 90%.
Transcribed Image Text:Q2. Direct Mailing Company sells computers and computer parts by mail. The company claims that at least 90% of all orders are mailed within 48 hours after they are received. The quality control department at the company often takes samples to check if this claim is valid. A recently taken sample of 160 orders showed that 140 of them were mailed within 48 hours. (a) Mention required conditions of the large sample for testing proportion and check these for the above problem. (b) Test at 1% level of significance the hypothesis that the percentage of all orders are mailed within 48 hours is less than 90%.
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