HomeWork_6 - 9 . 25 = x and a standard deviation 7 . 2 = s...

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Home Work 6 1. A random sample of 64 = n observations is drawn from a population with a mean equal to 20 and standard deviation equal to 16. a. Give the mean and standard deviation of the (repeated) sampling distribution of X . b. Describe the shape of the sampling distribution of X . Does your answer depend on the sample size? Find the probability that c. X is less than 16 d. X is greater than 23 e. X is greater than 25 f. X falls between 16 and 22 g. X is less than 14. 2. According to Business Travel News (July 15, 2002), the average salary of a travel management professional is $74,000. Assume that the standard deviation of s salaries is $30,000. Consider a random sample of 50 travel management professionals and let X represent the mean salary for the sample. a. What are x μ and x σ ? b. Describe the shape of the sampling distribution of X c. Find ) 000 , 65 $ ( X P d. Find ) 000 , 79 $ 000 , 70 ($ < < X P . 3. A random sample of 90 observations produced a mean
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Unformatted text preview: 9 . 25 = x and a standard deviation 7 . 2 = s . a. Find a 95% confidence interval for the population mean . b. Find a 90% confidence interval for . c. Find a 99% confidence interval for . 4. Periodically, the Hillsborough County (Florida) Water Department tests the drinking water of homeowners for contaminants such as lead and copper. The lead and copper levels in water specimens collected for a sample of 10 residents of the Crystal Lakes Manors subdivision are shown in the next table. Lead (g/L) Copper (mg/L) 1.32 .508 .279 13.1 .320 .919 .904 .657 .221 3.0 .283 1.32 .475 4.09 .130 4.45 .220 .743 1 a. Construct an 99% confidence interval for the mean lead level in water specimens from Crystal Lakes Manors. b. Construct an 99% confidence interval for the mean copper level in water specimens from Crystal Lakes Manors. 2...
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HomeWork_6 - 9 . 25 = x and a standard deviation 7 . 2 = s...

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