Math533quiz Study guides, Revision notes & Summaries

1. Question: The ages of a group of 50 women are approximately normally distributed with a mean of 47 years and a standard deviation of 6 years. One woman is randomly selected from the group, and her age is observed. 2. Question: Almost all companies utilize some type of year-end performance review for their employees. Human Resource (HR) at a university Health Science Center provides guidelines for supervisors rating their subordinates. For example, raters are advised to examine their ratings f...

Simple Linear Regression Question: From MSL, open data in Excel, then copy x and y variables into correct columns.

1. Question: The following numbers represent the weights in pounds of six 7-year old children in Mrs. Jones' second grade class (25, 60, 51, 47, 49, 45). Find the mean, median, mode, variance, and standard deviation. 2. Question: If the variance is 846, what is the standard deviation? 3. Question: If we have the following data: 34, 38, 22, 21, 29, 37, 40, 41, 22, 20, 49, 47, 20, 31, 34, 66. Draw a stem and leaf. Discuss the shape of the distribution. 4. Question: For two events, C and D, P(C) = ...

1. Question 7.4.45-T: A professor at a local university conducted a survey of 135 business in a city to determine what motivates small business to export their products. The CEOs were asked to respond to the statement “Management believes that the business can achieve economics of scale be exporting” on a scale of 1 (strongly disagree) to 5 (strongly agree. Summary statistics for the n = 135 scale scores were reported as x̄ = 3.81 and s = 1.4. in this study, the professor hypothesized that ...

1. Question 6.2.4: A random sample of 89 observations produced a mean x̄ = 25.7 and a standard deviation s = 2.5. 2. Question 6.5.67: A company wants to test a randomly selected sample of n water specimens and estimate the mean daily rate of pollution produced by a mining operation. If the company wants a 95% confidence interval estimate with a margin of error of 1.6 milligrams per liter (mg/L), how many water specimens are required in the sample? Assume prior knowledge indicates that pollution...

1. Question 12.3.4.T: Suppose you fit the first-order multiple regression model y = β0 β1x1 β2x2 Ԑ to n = 25 data points and obtain the prediction equation ŷ = -50.11 5.44x1 1.33x2. The estimated standard deviations of the sampling distributions of β1 and β2 are 0.98 and 0.25 respectively. 2. Question 12.3.13: Researchers developed a safety performance function (SPF), which estimates the probability of occurrence of a crash for a given segment of roadway. Using data on over 10...