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A report by the Gallup Poll found that a woman visits her doctor, on average, at most 5.1 times each year. A random sample of 20 women results in these yearly visit totals > x<-c(3,2,1,3,7,2,9,4,6,6,8,0,5,6,4,2,1,3,4,11) i) At the a = 0.05 level can it be concluded that the sample mean is higher than 5.1 visits per year? Assume the counts are Poisson distributed, P(5.1). ii) What is the probability of type II for this test, when the true mean is 5.8?

A report by the Gallup Poll found that a woman visits her doctor, on average, at most 5.1 times each year. A random sample of 20 women results in these yearly visit totals > x<-c(3,2,1,3,7,2,9,4,6,6,8,0,5,6,4,2,1,3,4,11) i) At the a = 0.05 level can it be concluded that the sample mean is higher than 5.1 visits per year? Assume the counts are Poisson distributed, P(5.1). ii) What is the probability of type II for this test, when the true mean is 5.8?

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
Section10.6: Summarizing Categorical Data
Problem 4BGP
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QUESTION 1.5. A report by the Gallup Poll found that a woman visits her doctor, on average, at most 5.1 times each year. A random sample of 20 women results in these yearly visit totals > x<-c (3,2,1,3,7,2,9,4,6,6,8,0,5,6,4,2,1,3,4,11) i) At the a = 0.05 level can it be concluded that the sample mean is higher than 5.1 visits per year? Assume the counts are Poisson distributed, P(5.1). ii) What is the probability of type II for this test, when the true mean is 5.8?
Transcribed Image Text:QUESTION 1.5. A report by the Gallup Poll found that a woman visits her doctor, on average, at most 5.1 times each year. A random sample of 20 women results in these yearly visit totals > x<-c (3,2,1,3,7,2,9,4,6,6,8,0,5,6,4,2,1,3,4,11) i) At the a = 0.05 level can it be concluded that the sample mean is higher than 5.1 visits per year? Assume the counts are Poisson distributed, P(5.1). ii) What is the probability of type II for this test, when the true mean is 5.8?
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