Suppose you administer a certain aptitude test to a random sample of 95 students in your school, and that the mean score is 105. We want to determine the mean µ of the population of all students in the school. Assume a standard deviation of σ = 15 for the test. We want to construct a 99% confidence interval: a) The point estimate is ______. b) The standard error = ___________ margin of error = c) We are 99% confident that the true ________________ falls between ________ and ________. d) If we decrease the sample size to n=45, The standard error will ______________ the margin of error will _______and therefore the width of the confidence interval will get __________.

Suppose you administer a certain aptitude test to a random sample of 95 students in your school, and that the mean score is 105. We want to determine the mean µ of the population of all students in the school. Assume a standard deviation of σ = 15 for the test. We want to construct a 99% confidence interval: a) The point estimate is . b) The standard error = _ margin of error = c) We are 99% confident that the true __ falls between and . d) If we decrease the sample size to n=45, The standard error will the margin of error will _and therefore the width of the confidence interval will get ________.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Question

a) The point estimate is ______.

b) The standard error = ___________ margin of error =

c) We are 99% confident that the true ________________ falls between ________ and ________.

d) If we decrease the sample size to n=45, The standard error will ______________ the margin of error will _______and therefore the width of the confidence interval will get __________.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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