Quiz Chapter 8 1 point each I use the z-table linked to my homepage as z Table Lind 1. Explain what a sampling distribution is. 2. The symbol sigma sub x bar [hopefully appearing at right] has 2 names, what are they?

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3. If x bar =10, = 14.6, = 9 & n = 17, find z, using Excel to calculate it.

z = 4. Explain the value the Central Limit Theorem brings to statistics. 5. A machine used to fill beer cans fills them to a mean amount of 16 oz.If a sample of 25 cans has a mean of 13.3 oz, & the population std dev is 5, how likely is it, if the machine is working properly, that it would fill to 13.5 oz or less?

P(z) = Assignment Chapter 8The following exercises are similar to those in the text. Exercise 6: A population consists of the following values:2, 2, 4, 4, 7 a. List all samples of size 2, and compute the mean of each sample. Exercise 6 [part 2]: b. Compute the mean of the distribution of sample means and the population mean. Compare the two values. = x _bar = c. Compare the standard deviation the population with that of the sample means. = s = Exercise 16: A normal population has a mean of 75 and a standard deviation of 5.You select a sample of 40. Compute the probability the sample mean is: a. Less than 74.8 b. Between 73 and 76. Exercise 16 [part 2]: c. Between 76 and 77.9 d. Greater than 76. Exercise 18: According to an IRS study, it takes a mean of 330 minutes for taxpayers to prepare, copy, and electronically file a 1040 tax form.This distribution of times follows the normal distribution and the standard deviation is 70 minutes.A consumer watchdog agency selects a random sample of 40 taxpayers. b. What is the likelihood the sample mean is greater than 320 minutes? c. What is the likelihood the sample mean is between 320 and 350 minutes?

Quiz Chapter 9 1 point each The calculations are done using Excel commands. 1. If xbar = 50, n = 49 & = 7 find the 95% Margin of Error for . 50 2. In a distribution of fingernail length where n= 196, = 7 & x bar = .75, compute a 92% Interval Estimate. & determine if Zelda, whose nails are 1.87 long, will be within the interval? Interval Estimate: .75 Is Zelda within the interval? 3. If the sample mean is 100, z = 1.85 & sigma sub x bar = 20, what is the interval estimate for ? 100 4. What is the level of confidence for question 3. above? 5. When is the t distribution used in lieu of the z distribution? Assignment Chapter 9 Similar to those in the text. Exercise 2: A sample of 71 observations is taken from a normal population with a standard deviation of 5. The sample mean is 40. Determine the 95 percent confidence interval for the population mean. 40 Exercise 4: Suppose you want an 80 percent confidence level. What z value would you use?

z = Exercise 8: Prof. Participle is a professor of English. Recently she counted the number of misspelled words in a group of student essays. She noted the distribution of misspelled words per essay followed the normal distribution with a standard deviation of 2.44 words per essay. For her 10 A.M. section of 40 students, the mean numer of misspelled words was 6.05. Construct a 90 percent confidence interval for the mean number of misspelled worlds in the population of student essays. 6.05 Exercise 12: The American Sugar Producers Associatin wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 55 pounds with a standard deviation of 20 pounds. a. What is the best estimate of the population mean? c. For a 98 percent confidence interval, what is the value of t? Exercise 12 [part 2]: d. Develop the 95 percent confidence interval for the populatin mean. 55 e. Would it be reasonable to conclude that the population mean is 67 pounds?