Answer:
E = u + Z * σ/[tex]\sqrt{n}[/tex]
E = 5 + Z *1/[tex]\sqrt{50}[/tex]
Step-by-step explanation:
The test statistic is Z = [(E - u) / σ]*[tex]\sqrt{n}[/tex] by formula with the estimator of the population mean.
The point estimate should be E., the sample mean
Z = [(E - u) / σ]*[tex]\sqrt{n}[/tex]
for E= sample mean from a set of n data
u = population mean and σ = standard deviation, normally you can approximate the σ with the sample standard deviation s.
so...
Solve for E, (E - u) = Z * σ/[tex]\sqrt{n}[/tex]
E = u + Z * σ/[tex]\sqrt{n}[/tex], my book says the point estimate is x-bar which is the sample average. ...with target parameter u = population mean
Z = [(4.5 - 5)/1] * [tex]\sqrt{50}[/tex] = -0.5 * 7.0710678
Z = - 3.5355
Our point estimate or test statistic is -3.536 about. so
