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(a) Give a point estimate of p₁. (b) Give the endpoints for an approximate 95% confi- dence interval for p₁. (c) Give a point estimate of p₁ - P2.

(a) Give a point estimate of p₁. (b) Give the endpoints for an approximate 95% confi- dence interval for p₁. (c) Give a point estimate of p₁ - P2.

A First Course in Probability (10th Edition)
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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7.3-10. A candy manufacturer selects mints at random from the production line and weighs them. For one week. the day shift weighed n₁ = 194 mints and the night shift weighed n₂ = 162 mints. The numbers of these mints that weighed at most 21 grams was y₁ = 28 for the day shift and y2 = 11 for the night shift. Let p₁ and pz denote the proportions of mints that weigh at most 21 grams for the day and night shifts, respectively. (a) Give a point estimate of p₁. (b) Give the endpoints for an approximate 95% confi- dence interval for pi. (e) Give a point estimate of p₁-p2. (d) Find a one-sided approximate 95% confidence inter- val that gives a lower bound for p1 - P2.
Transcribed Image Text:7.3-10. A candy manufacturer selects mints at random from the production line and weighs them. For one week. the day shift weighed n₁ = 194 mints and the night shift weighed n₂ = 162 mints. The numbers of these mints that weighed at most 21 grams was y₁ = 28 for the day shift and y2 = 11 for the night shift. Let p₁ and pz denote the proportions of mints that weigh at most 21 grams for the day and night shifts, respectively. (a) Give a point estimate of p₁. (b) Give the endpoints for an approximate 95% confi- dence interval for pi. (e) Give a point estimate of p₁-p2. (d) Find a one-sided approximate 95% confidence inter- val that gives a lower bound for p1 - P2.
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