Chapter 08, Section 8.2, Intelligent Tutoring Problem 011 For a data set obtained from a sample of size n = 81 with x = 50.25, it is known that o = 4.1. (a) What is the point estimate of p? (b) Find z score corresponding to a 95% confidence level, z/2. Recall that (1 - a)100% = 95%. (c) Construct a 95% confidence interval for p. (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 n 2 30, are given by I+ zoz where the value of z is obtained from the standard normal distribution (Table IV in Appendix C or by calculator) and oz = is the standard deviation of I. Vn 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, p, o) where p is the mean and o is the standard deviation of the normal distribution. For 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 011 For a data set obtained from a sample, n = 81 and x = 50.25. It is known that o = 4.1. (a) What is the point estimate of u? (b) Find a corresponding to a 95% confidence level. (c) Find 1 - 0a/2. 1 - a/2 = (d) Find to 2 decimal places Za/2 for 95% confidence level. Za/2 =
Chapter 08, Section 8.2, Intelligent Tutoring Problem 011 For a data set obtained from a sample of size n = 81 with x = 50.25, it is known that o = 4.1. (a) What is the point estimate of p? (b) Find z score corresponding to a 95% confidence level, z/2. Recall that (1 - a)100% = 95%. (c) Construct a 95% confidence interval for p. (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 n 2 30, are given by I+ zoz where the value of z is obtained from the standard normal distribution (Table IV in Appendix C or by calculator) and oz = is the standard deviation of I. Vn 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, p, o) where p is the mean and o is the standard deviation of the normal distribution. For 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 011 For a data set obtained from a sample, n = 81 and x = 50.25. It is known that o = 4.1. (a) What is the point estimate of u? (b) Find a corresponding to a 95% confidence level. (c) Find 1 - 0a/2. 1 - a/2 = (d) Find to 2 decimal places Za/2 for 95% confidence level. Za/2 =
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:Chapter 08, Section 8.2, Intelligent Tutoring Problem 011
For a data set obtained from a sample of size n = 81 with x = 50.25, it is known that o = 4.1.
(a) What is the point estimate of p?
(b) Find z score corresponding to a 95% confidence level, z/2. Recall that (1 - a)100% = 95%.
(c) Construct a 95% confidence interval for p.
(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 n 2 30, are given by I+ zoz where the value of z is obtained from the standard normal distribution (Table IV
in Appendix C or by calculator) and oz = is the standard deviation of I.
Vn
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, p, o) where p is the mean and o is the standard deviation of the normal distribution. For 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 011
For a data set obtained from a sample, n = 81 and x = 50.25. It is known that o = 4.1.
(a) What is the point estimate of u?
(b) Find a corresponding to a 95% confidence level.
(c) Find 1 - 0a/2.
1 - a/2 =
(d) Find to 2 decimal places Za/2 for 95% confidence level.
Za/2 =
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