Chapter 08, Section 8.2, Intelligent Tutoring Problem 017 Determine the sample size needed to obtain an estimate of u if the margin of error E = 0.05, o = 0.90, and the confidence level is 99% (use zo.005 = 2.57). Use Table IV in Appendix C to compute the probabilities. Recall the following definitions from section 8.3 of the text. Given the confidence level and the standard deviation of the population, the sample size that will produce a predetermined margin of error E of the confidence interval estimate of u is n = E2 where the value of z is obtained from the standard normal distribution (Table IV in Appendix C or by calculator) and the quantity zo; is called the Margin of Error and is denoted by E. Furthermore, o = is the Vn standard deviation of x. Alternatively, To obtain z from a graphing calculator, we use the formula z = invNorm(1 - a/2, p, o) where p is the mean and o is the standard deviation of the normal distribution. For the standard normal distribution p = 0 and o = 1. Recall that in general z = invNorm("area to left of z", p, o). Chapter 08, Section 8.2, Intelligent Tutoring Problem 017 It is given that E = 0.05 and o = 0.90. (a) Find a for 99% confidence level. (b) Find 1 - a/2. 1 - a/2 = (c) Find for a 99% confidence level. Za/2 Za/2
Chapter 08, Section 8.2, Intelligent Tutoring Problem 017 Determine the sample size needed to obtain an estimate of u if the margin of error E = 0.05, o = 0.90, and the confidence level is 99% (use zo.005 = 2.57). Use Table IV in Appendix C to compute the probabilities. Recall the following definitions from section 8.3 of the text. Given the confidence level and the standard deviation of the population, the sample size that will produce a predetermined margin of error E of the confidence interval estimate of u is n = E2 where the value of z is obtained from the standard normal distribution (Table IV in Appendix C or by calculator) and the quantity zo; is called the Margin of Error and is denoted by E. Furthermore, o = is the Vn standard deviation of x. Alternatively, To obtain z from a graphing calculator, we use the formula z = invNorm(1 - a/2, p, o) where p is the mean and o is the standard deviation of the normal distribution. For the standard normal distribution p = 0 and o = 1. Recall that in general z = invNorm("area to left of z", p, o). Chapter 08, Section 8.2, Intelligent Tutoring Problem 017 It is given that E = 0.05 and o = 0.90. (a) Find a for 99% confidence level. (b) Find 1 - a/2. 1 - a/2 = (c) Find for a 99% confidence level. Za/2 Za/2
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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Transcribed Image Text:Chapter 08, Section 8.2, Intelligent Tutoring Problem 017
Determine the sample size needed to obtain an estimate of u if the margin of error E = 0.05, o = 0.90, and the confidence level is 99% (use zo.005 = 2.57).
Use Table IV in Appendix C to compute the probabilities.
Recall the following definitions from section 8.3 of the text.
Given the confidence level and the standard deviation of the population, the sample size that will produce a predetermined margin of error E of the confidence interval estimate of u is n =
E2
where the value of z is obtained from the standard normal distribution (Table IV in Appendix C or by calculator) and the quantity zo; is called the Margin of Error and is denoted by E. Furthermore, o =
is the
Vn
standard deviation of x.
Alternatively, To obtain z from a graphing calculator, we use the formula z = invNorm(1 - a/2, p, o)
where p is the mean and o is the standard deviation of the normal distribution. For the standard normal distribution p = 0 and o = 1. Recall that in general z = invNorm("area to left of z", p, o).
Transcribed Image Text:Chapter 08, Section 8.2, Intelligent Tutoring Problem 017
It is given that E = 0.05 and o = 0.90.
(a) Find a for 99% confidence level.
(b) Find 1 - a/2.
1 - a/2 =
(c) Find
for a 99% confidence level.
Za/2
Za/2
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