A real estate agent claims that the average price of a home sold in Beaver County, Pennsylvania, is $60,000.Arandom sample of 36 homes sold in the county is selected, and the prices in dollars are shown. Is there enough evidence to reject the agent’s claim at α = 0.05? Assume σ = $76,025.

Perform each of the following steps.

a. State the hypotheses and identify the claim.

b. Find the critical value(s).

c. Compute the test value.

d. Make the decision.

e. Summarize the results.

Use diagrams to show the critical region (or regions), and use the traditional method of hypothesis testing unless otherwise specified.

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9,00 54,000 99,000 94,000 80,000 29,000 21,500 184,750 5,000 164,450 6,000 13,000 188,400 121,000 308,000 42,000 7,500 32,900 126,900 25,225 95,000 92,000 38,000 60,000 2,000 15,000 28,000 53,500 27,000 21,000 76,000 85,000 25,225 40,000 97,000 Eii 284,000