Jan and Susan both have negative z scores signifying they scored below the mean.

Question

asked 2021-05-03

Assume that all the distributions are normal, average is always taken to be the arithmetic mean xˉ or μ. A college Physical Education Department offered an Advanced First Air course last semester. The scores on the comprehensive final exam were normally distributed, and the the z scores for some of the students are shown below: $Robert, 1.10 \quad Juan, 1.70Susan,−2.001.70Susan,−2.00 Joel,0.00Jan,−0.80Linda,1.60Joel,0.00Jan,−0.80Linda,1.60 (c) Which of these students scored below the mean?

asked 2021-07-01

The college physical education department offered an advanced first aid course last semester. The scores on the comprehensive final exam were normally distributed, and the z scores for some of the students are shown below: Robert, 1.10 Juan, 1.70 Susan, -2.00 Joel, 0.00 Jan, -0.80 Linda, 1.60 If the mean score was μ=150μ=150 with standard deviation σ=20,σ=20, what was the final exam score for each student?

asked 2021-05-18

asked 2020-10-21

(a) Suppose \(n = 100\) and \(p= 0.23\). Can we safely approximate the \(\hat{p}\) distribution by a normal distribution? Why?

Compute \(\mu_{\hat{p}}\) and \(\sigma_{\hat{p}}\).