A large retail lawn care dealer currently provides a 2-year warranty on all lawn mowerssold at its stores. A new employee suggested that the dealer could save money by just not offeringthe warranty. To evaluate this suggestion, the dealer randomly decides whether or not to offerthe warranty to the next 50 customers who enter the store and express an interest in purchasinga lawnmower. Out of the 25 customers offered the warranty, 10 purchased a mower as comparedto 4 of 25 not offered the warranty.a. Place a 95% confidence interval on 7₁ - 72, the difference in the proportions ofcustomers purchasing lawnmowers with and without the warranty.b. Test the research hypothesis that offering the warranty will increase the propor-tion of customers who will purchase a mower. Use a = .05.c. Are the conditions for using a large-sample test to answer the question in part (b)satisfied? If not, apply an exact procedure,

At first, we will find the proportions for customers who were offered a warranty (π1) and not…

Answered: A large retail lawn care dealer…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A large industrial firm uses 3 local motels to provide overnight accommodations for its clients. From past experience it is known that 20% of the clients are assigned rooms at the Ramada Inn, 50% at the Sheraton, and 30% at the Lakeview Motor Lodge. If the plumbing is faulty in 25% of the rooms at the Ramada Inn, in 35% of the rooms at the Sheraton, and in 40% of the rooms at the Lakeview Motor lodge, what is the probability that (a) a client will be assigned a room with faulty plumbing? (b) a person with a room having faulty plumbing was assigned accommodations at the Lakeview Motor Lodge? (c) a person with a room having no faulty plumbing was assigned accommodations at the Lakeview Motor Lodge? Round off the final answer to five decimal places.
A movie production company is releasing a movie with the hopes that many viewers will return to see the movie in the theater for a second time. Their target is to have 30 million viewers, and they want more than 30% of the viewers to want to see the movie again. They show the movie to a test audience of 175 people, and after the movie they asked them if they would see the movie in theaters again. Of the test audience, 65 people said they would see the movie again. a. Specify the competing hypotheses to test if more than 30% of the viewers will return to see the movie again. Ho: 0.3; versus HA b-1. Calculate the value of the test statistic. Note: Round final answer to 2 decimal places. Test statistic b-2. Find the p-value. O 0.025 s p-value < 0.05 O 0.05 s p-value < 0.10 O p-value ≥ 0.10 O p-value < 0.01 O 0.01 s p-value < 0.025 c. At the 5% significance level, what is the conclusion? ○ Do not reject Ho, the population proportion is greater than 0.30. ○ Do not reject Ho, the population…
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