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(a) What is the point estimate of µ? (b) Find z score corresponding to a 95% confidence level, za/2. Recall that (1 – a)100% = 95%. (c) Construct a 95% confidence interval for u. (d) What is the margin of error in part (c)?

(a) What is the point estimate of µ? (b) Find z score corresponding to a 95% confidence level, za/2. Recall that (1 – a)100% = 95%. (c) Construct a 95% confidence interval for u. (d) What is the margin of error in part (c)?

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
Section: Chapter Questions
Problem 22SGR
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For a data set obtained from a sample of size n = 100 with x = 46.25, it is known that o = 4.8. (a) What is the point estimate of µ? (b) Find z score corresponding to a 95% confidence level, za/2. Recall that (1- a)100% = 95%. (c) Constructa 95% confidence interval for u. (d) What is the margin of error in part (c)? Recall the following definitions from section 8.2-3 of the text. The confidence level is denoted by (1 – a)100%, where a is called the significance level. a = P(|Z| > z). By symmetry, a/2 = P(Z > z). - The endpoints for a (1 - a)100%, confidence interval for u, if o is known and either the population is normal or n2 30, are given by x ± 70z where the value of z is obtained from the standard normal distribution (Table IV in Appendix C or by calculator) and is the standard deviation of X. Vn O = The quantity zoz is called the Margin of Error and is denoted by E. To obtain z from a graphing calculator we use the formula z = invNorm(1 – a/2, µ, o) where µ is the mean and o is the standard - deviation of the normal distribution. For standard normal distribution u = 0 and o = 1. Recall that in general z = invNorm("area to left of z", µ, o)
Transcribed Image Text:For a data set obtained from a sample of size n = 100 with x = 46.25, it is known that o = 4.8. (a) What is the point estimate of µ? (b) Find z score corresponding to a 95% confidence level, za/2. Recall that (1- a)100% = 95%. (c) Constructa 95% confidence interval for u. (d) What is the margin of error in part (c)? Recall the following definitions from section 8.2-3 of the text. The confidence level is denoted by (1 – a)100%, where a is called the significance level. a = P(|Z| > z). By symmetry, a/2 = P(Z > z). - The endpoints for a (1 - a)100%, confidence interval for u, if o is known and either the population is normal or n2 30, are given by x ± 70z where the value of z is obtained from the standard normal distribution (Table IV in Appendix C or by calculator) and is the standard deviation of X. Vn O = The quantity zoz is called the Margin of Error and is denoted by E. To obtain z from a graphing calculator we use the formula z = invNorm(1 – a/2, µ, o) where µ is the mean and o is the standard - deviation of the normal distribution. For standard normal distribution u = 0 and o = 1. Recall that in general z = invNorm("area to left of z", µ, o)
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