Random Sample Hypothesis

Question

Using your class as the random

sample size, mean is 2323 standard deviation is 92.48

0.01 significance level, is it reasonable to say female graduates expected

mean salary is less than $2,400? with working and using hypothesis and possible errors.

Answer 1

H₀: μ = $2,400

H_A: μ < $2,400

Use the formula to find the z-score.

z = (2400 - 2323) / 92.48 = 0.83

P(z < 0.83) = 0.7967

Since the p-value is greater than 0.01, we fail to reject the null hypothesis. There is no sufficient evidence to show that female graduates will expect their mean salary to be less than $2,400.

Answer 2

Ho: mean = 2400

Ha: mean < 2400

sample statistic t = (mean - mean under Ho) / (standard deviation/sqrt(sample size))

(2323 - 2400)/(92.48/sqrt(sample size))

You need to provide the sample size in order for the problem to be completed.

When you do, if P(computed t statistic) < 0.01, then reject Ha.