For a data set obtained from a sample of size n = 81 with x = 44.25, it is known that o = 5.8. (a) What is the point estimate of p? (b) Find z score corresponding to a 95% confidence level, zo/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)?

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Round the answers to four decimal places.
(a) Find oz.
(b) What is the margin of error?
E =
(c) Make a 95% confidence interval for u.
Transcribed Image Text:Round the answers to four decimal places. (a) Find oz. (b) What is the margin of error? E = (c) Make a 95% confidence interval for u.
For a data set obtained from a sample of size n =
81 with x =
44.25, it is known that o = 5.8.
(a) What is the point estimate of u?
(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)?
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±70z 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 x.
The quantity Zo, is called the Margin of Error and is denoted by E.
invNorm(1 - a/2, µ, o) where u is the mean and o is the standard deviation of the normal distribution.
To obtain z from a graphing calculator we use the formula z =
For standard normal distribution u
= 0 and 0 = 1.
Recall that in general z =
invNorm("area to left of z", µ, ơ)
Transcribed Image Text:For a data set obtained from a sample of size n = 81 with x = 44.25, it is known that o = 5.8. (a) What is the point estimate of u? (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)? 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±70z 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 x. The quantity Zo, is called the Margin of Error and is denoted by E. invNorm(1 - a/2, µ, o) where u is the mean and o is the standard deviation of the normal distribution. To obtain z from a graphing calculator we use the formula z = For standard normal distribution u = 0 and 0 = 1. Recall that in general z = invNorm("area to left of z", µ, ơ)
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