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ger chooses a new production rate for the assembly line. They claim that the rate that they have chosen will result in the minimum probability that a randomly hoc-pricot is imperfect. ng the assembly line at the new production rate for one day, a quality-control officer elects 80 Choc-pricots and 6 are imperfect. ate p, the proportion of Choc-pricots that are imperfect in the sample of pc-pricots manufactured at the new production rate. ng that a sample size of 80 is large enough for the central limit theorem to apply, ne a 90% confidence interval for the proportion of Choc-pricots that will be imperfect ew production rate. e confidence interval that you calculated in part (e)(ii), can it be concluded that the r's claim is false with 90% confidence? Justify your answer.

ger chooses a new production rate for the assembly line. They claim that the rate that they have chosen will result in the minimum probability that a randomly hoc-pricot is imperfect. ng the assembly line at the new production rate for one day, a quality-control officer elects 80 Choc-pricots and 6 are imperfect. ate p, the proportion of Choc-pricots that are imperfect in the sample of pc-pricots manufactured at the new production rate. ng that a sample size of 80 is large enough for the central limit theorem to apply, ne a 90% confidence interval for the proportion of Choc-pricots that will be imperfect ew production rate. e confidence interval that you calculated in part (e)(ii), can it be concluded that the r's claim is false with 90% confidence? Justify your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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(e) The manager chooses a new production rate for the assembly line. They claim that the production rate that they have chosen will result in the minimum probability that a randomly selected Choc-pricot is imperfect. After running the assembly line at the new production rate for one day, a quality-control officer randomly selects 80 Choc-pricots and 6 are imperfect. (i) Calculate p, the proportion of Choc-pricots that are imperfect in the sample of 80 Choc-pricots manufactured at the new production rate. (ii) Assuming that a sample size of 80 is large enough for the central limit theorem to apply. determine a 90% confidence interval for the proportion of Choc-pricots that will be imperfect at the new production rate. (iii) Using the confidence interval that you calculated in part (e)(ii), can it be concluded that the manager's claim is false with 90% confidence? Justify your answer. WOSK YOUS MET
Transcribed Image Text:(e) The manager chooses a new production rate for the assembly line. They claim that the production rate that they have chosen will result in the minimum probability that a randomly selected Choc-pricot is imperfect. After running the assembly line at the new production rate for one day, a quality-control officer randomly selects 80 Choc-pricots and 6 are imperfect. (i) Calculate p, the proportion of Choc-pricots that are imperfect in the sample of 80 Choc-pricots manufactured at the new production rate. (ii) Assuming that a sample size of 80 is large enough for the central limit theorem to apply. determine a 90% confidence interval for the proportion of Choc-pricots that will be imperfect at the new production rate. (iii) Using the confidence interval that you calculated in part (e)(ii), can it be concluded that the manager's claim is false with 90% confidence? Justify your answer. WOSK YOUS MET
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