Exam 3: Numerical Summaries of Center and Variation

Use the following information to answer the question. The mean age of lead actors from the top ten grossing movies of 2007 was 36.4 years with a standard deviation of 9.87 years. Assume the distribution of the actors ages is approximately unimodal and symmetric. -In 2002, actor Adrian Brody won an academy award in for the movie "The Pianist." He was 1- years- old. Finish the statement: "According to the Empirical Rule, the ages of nearly all lead actors will be between and years. Adrien Brody was this range when she won the academy award."

Use the following information to answer the question. The economic impact of an industry, such as sport fishing, can be measured by the retail sales it generates. In 2006, the economic impact of great lakes fishing in states bordering the great lakes had a mean of $318 and a standard deviation of $83.5. Note that all dollar amounts are in millions of dollars. Assume the distribution of retail sales is unimodal and symmetric. (Source: National Oceanic and Atmospheric Administration). -For what percentage of great lakes states would you expect the economic impact from fishing to be between $151.00 and $485.00 (in millions of dollars)?

Using the boxplot for the Midwest, determine which of the following statements about the distribution cannot be justified.

Explain in your own words what the sample standard deviation is and why it is an important summary statistic.

Use the following information to answer the question. The mean age of lead actresses from the top ten grossing movies of 2010 was 29.6 years with a standard deviation of 6.35 years. Assume the distribution of the actresses' ages is approximately unimodal and symmetric. -In 1993, actress Anna Paquin won an academy award in for the movie "The Piano." She was 11- years- old. Finish the statement: "According to the Empirical Rule, the ages of nearly all lead actresses will be between and years. Anna Paquin was this range when she won the academy award."

Calculate the five- number summary for the following dataset. 41.19, 83.51, 19.98, 114.60, 63.08, 83.88

Use the following information to answer the question. The economic impact of an industry, such as sport fishing, can be measured by the retail sales it generates. In 2006, the economic impact of great lakes fishing in states bordering the great lakes had a mean of $318 and a standard deviation of $83.5. Note that all dollar amounts are in millions of dollars. Assume the distribution of retail sales is unimodal and symmetric. (Source: National Oceanic and Atmospheric Administration). -The economic impact of fishing for nearly all great lakes states should fall within what range (in millions of dollars)?

Use the following information to answer the question. The mean age of lead actresses from the top ten grossing movies of 2010 was 29.6 years with a standard deviation of 6.35 years. Assume the distribution of the actresses' ages is approximately unimodal and symmetric. -Between what two values would you expect to find about 68% of the lead actresses ages?

Use the following information to answer the question. A junior high gym teacher recorded the time, in minutes, that it took two of her classes to run one mile. Here are the summary statistics for each class: Class A: x = 9.6, s = 1.1 Class B: x = 9.9; s = 1.5 -Write a sentence comparing the Class A and Class B. Does one class run faster than the other? Explain.

The mean price of a pound of ground beef in 75 cities in the Midwest is $2.11 and the standard deviation is $0.56. A histogram of the data shows that the distribution is symmetrical. A local Midwest grocer is selling a pound of ground beef for $3.25. What is this price in standard units? Assuming the Empirical Rule applies, would this price be unusual or not? Round to the nearest hundredth.

Use the following information to answer the question. The mean age of lead actors from the top ten grossing movies of 2007 was 36.4 years with a standard deviation of 9.87 years. Assume the distribution of the actors ages is approximately unimodal and symmetric. -Between what two values would you expect to find about 68% of the lead actors ages?

The following list shows the age at appointment of U.S. Supreme Court Chief Justices appointed since 1900. Use the data to answer the question. -Find the mean, rounding to the nearest tenth of a year, and interpret the mean in this context.

Use the following information to answer the question. The average snowfall for cities in Michigan is 71.6 inches with a standard deviation of 9.7 inches. Assume the distribution for annual snowfall is approximately unimodal and symmetrical. -What is the range of values for annual snowfall that would contain roughly 95% of the cities in Michigan? Round calculations to the nearest tenth.

Below is the standard deviation for extreme 10k finish times for a randomly selected group of women and men. Chose the statement that best summarizes the meaning of the standard deviation.

Pick the statement that best describes the shape of the distribution for the states in the Midwest.

Use the following information to answer the question. Data and summary statistics about college professor's salaries was gathered from nine institutions and is presented below. This salary information is from professors teaching at the Master's level. Men: x = 67691; s = 14506 Women: x = 65323; s = 13274 -Suppose a female professor is offered a position with an annual salary of $80,000. Compared to the women from the nine institutions in the study, would this be an unusually good salary? Explain.

Use the following information to answer the question. Here is a table recording the number of deaths for the top thirteen worst U.S. tornados since 1925. A histogram showing the distribution is also included. -The worst tornado on record since 1925 is a tornado that went through Missouri, Illinois, and Indiana on March 18, 1925. It killed 689 people. Suppose that when this value was entered into a calculator or other software a mistake was made and it was entered as 1,689. Choose the statement that describes what affect this mistake will have on the mean and median.

Use the following information for the question. The boxplots below are from a Graphing Calulator. The boxplots summarize the cost in dollars of a typical evening out for two people (dinner and a movie)in two different cities in west Michigan, Muskegon (top boxplot)and Grand Rapids (bottom boxplot). The five- number summaries are also given for each city. -Brian and his significant other plan to visit west Michigan and eat out every night at a different restaurant. He wants to be careful about his budget. Based on the information provided, which city would be best for them to visit and why?

Use the following information to answer the question. The economic impact of an industry, such as sport fishing, can be measured by the retail sales it generates. In 2006, the economic impact of great lakes fishing in states bordering the great lakes had a mean of $318 and a standard deviation of $83.5. Note that all dollar amounts are in millions of dollars. Assume the distribution of retail sales is unimodal and symmetric. (Source: National Oceanic and Atmospheric Administration). -The economic impact of fishing for nearly all great lakes states should fall within what range (in millions of dollars)?

Use the following information to answer the question. In 2007, the average number of hours spent online at home for U. S. adults with internet access was 8.9 hours with a standard deviation of 0.4 hours. The U. S average was determined by collecting cluster data from thirty randomly selected states. Assume the distribution of time spent online at home is approximately unimodal and symmetric. -The standard score for hours spent online at home for Minnesotans was 3.00. Approximately how many hours do Minnesotan adults spend online at home? Show your work and round all calculations to the nearest tenth.