The manager of a restaurant chain wants to know how many times per month diners come to his restaurant. The table shows the number of visits in one month for three samples of 10 randomly chosen diners. Number of visits to restaurant in one month Sample 1 5 2 2 3 Total = 36 Sample 2 26 3 4 S N 2 21 5 Total = 33 Sample 3 3 3 5 M3 5

Answer the questions to find the means, compare the samples, and make a prediction.

1. What are the means of Samples 1 and 2? Show your work.​

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)