The reported average cost per workbook at a large college is $27.50. a professor claims that the actual average cost per workbook is higher than $27.50. a sample of 44 different workbooks has an average cost of $28.90. the population standard deviation is known to be $5.00. can the null hypothesis be rejected at alpha= 0.05?

We conclude that the actual average cost per workbook is higher than $27.50.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $27.50

Sample mean, = $28.90

Sample size, n = 44

Alpha, α = 0.05

Population standard deviation, σ = $5.00

First, we design the null and the alternate hypothesis

We use one-tailed z test to perform this hypothesis.

Formula:

Putting all the values, we have

Now,

Since,  

We reject the null hypothesis and accept the alternate hypothesis.

Thus, we conclude that the actual average cost per workbook is higher than $27.50.

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step-by-step explanation: