a. Chapter 6, p. 325, Quiz, problems: 1, 5,6 1. The following data setrepresents

Question

a.   Chapter 6, p. 325, Quiz, problems: 1, 5,6

1. The following data setrepresents the repair costs (in dollars) for a random sample of 30dishwashers. (Adapted from Consumer Reports)

41.8252.81 57.80 68.16 73.48 78.88 88.13 88.79

90.0790.35 91.68 91.72 93.01 95.21 95.34 96.50

100.05101.32 103.59 104.19 105.62 111.32 117.14 118.42

118.77119.01 120.70 140.52 141.84 147.06

(a)Find the point estimate of the population mean.

(b)Find the margin of error for a 95% level of confidence.

(c)Construct a 95% confidence interval for the population mean andinterpret the results.

Explanation / Answer

a) Point estimate of population mean: 98.11 b) Margin or error: critical value x sample standard deviation /sqrt(n) = 1.96 x 24.72 / sqrt(30) = 8.847 c) Confidence interval: (98.11 - 8.847, 98.11 + 8.847) = (89.26,106.96)

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