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 byx ± 70z where the value of z is obtained from the standard normal distribution (Table IV in Appendix C or by calculator) andis the standard deviation of X.VnO =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)

here given, sample mean = 46.25 population standard deviation = 4.8 sample size = n= 100

Answered: (a) What is the point estimate of µ?…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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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)?