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The Wall Street Journal reported that the
was approximately $85,000 (The Wall Street Journal, August 6, 2013). Suppose that an
independent study of middle-level managers employed at companies located in Atlanta,
Georgia, was conducted to compare the salaries of managers working at firms in Atlanta
to the national average. The following data show the salary, in thousands of dollars, for a
sample of 15 middle-level managers.
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
a. Compute the median salary for the sample of 15 middle-level managers. How does
the median for this group compare to the median reported by The Wall Street Journal?
b. Compute the mean annual salary and discuss how and why it differs from the median
computed in part (a).
c. Compute the first and third
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- The premiere of Game of Thrones' seventh season set a series record of 10.1 million viewers tuning in to the live broadcast, and the season finale got even more than that at 12.1 million. A researcher at HBO believes that the average number of viewers watching live is not equal to the average number of those streaming online. The data below demonstrate a sample the number of of people watching live for each episode and the number of people streaming for each of the same episode. Episode Live (millions) Streaming (millions) Season 1 Episode 1 2.9 0.7 Season 3 Episode 4 8.4 5.0 Season 5 Episode 1 8.7 6.3 Season 5 Episode 5 8.6 6.0 Season 6 Episode 3 9.3 8.4 Season 7 Episode 1 10.11 6.4 Season 7 Episode 5 10.72 6.7 Season 7 Episode 7 12.10 7.5 Based on the results of your t-test, can we conclude that the mean number of people viewing live is different from the mean number of people streaming online? Group of answer choices a) No, because the p value is greater…arrow_forwardBefore going to college, Chelsea wanted to see if she could sell her old car online. She selected a sample of the prices on 25 similar cars sold online in the past month. Later, Chelsea realized that the lowest-priced car in the sample was mistakenly recorded as half the price it actually sold for. However, after correcting the error, the corrected price was still less than or equal to any other car price in her sample. Which of the following sample statistics must have remained the same after the correction was made? Select one: 1.Range 2.Median 3.Mode 4.Variance 5.Meanarrow_forwardYou are an education researcher interested in studying if race or ethnicity affects the severity of punishment children receive. Through open records, you are able to collect from several high schools the length of suspensions given to kids for fighting along with the race/ethnicity of the child. The state of Texas divides school children into one of 7 race/ethnicity groups: African American, American Indian, Asian, Hispanic, Pacific Islander, White, or Multiracial. You want to compare the average length of suspension among these 7 groups. Which statistical test would be best to determine if there is a significant difference in the severity of punishment among the different groups? one-sample t-test related samples t-test independent samples t-test ANOVAarrow_forward
- A retail store started a new inventory system on January 1, 2019. The loss prevention manager compared the number of units that were missing from each month's inventory in 2018 with the number of units that were missing from each month's inventory in 2019. The results are provided in the table below. 2018 2019 87 7171 79 75 91 67 78 76 82 68 75 65 88 72 86 75 83 64 77 70 89 73 83 63 What conclusion could be made using the median and interquartile range from the data? The median for 2018 is 83, which is greater than 70.5, the median for 2019. The interquartile range for 2018 is 9, which is greater than the interquartile range for 2019, 8. The median for 2018 is 6969, which is less than 82.5, the median for 2019. The interquartile range for 2018 is 8.5, which is the same as the interquartile range for 2019. The median for 2018 is 83, which is greater than 71, the median for 2019. The interquartile range for 2018 is 16, which is greater…arrow_forwardSuppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of cars each of the cars types. The data below displays the frontal crash test performance percentages. Test whether there are statistical differences in the frontal crash test performance for each type of car. Car Sizes Compact Cars Midsize Cars Full-Size Cars 95 95 93 98 98 97 87 98 92 99 89 92 99 94 84 94 88 87 99 93 88 98 99 89 What conclusions can we draw from the follow-up t-tests? There is/are a total of ______ statistically significant difference(s) between car type pairs out of the follow-up t-tests. Options: a) 1 b) 2 c) 3 d) 4 e) 5 f) 6arrow_forward2. Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in PGA tournaments are shown in the following table (Golfweek, February 14, 2009, and February 28, 2009). Suppose you would like to determine if the mean score for the first round of a PGA Tour event is significantly different than the mean score for the fourth and final round. Does the pressure of playing in the final round cause scores to go up? Or does the increased player concentration cause scores to come down? Player First Round Final Round Sleve McDichael 72 72 Onson Sweemey 68 68 Darryl Archideld 72 72 Anatoli Smorin 68 68 Rey McScriff 73 73 Glenallen Mixon 69 69 Mario McRlwain 74 74 Raul Chamgerlain 69 73 Mike Sernandez 70 73 Tony Smehrik 71 69 Player First Round Final Round Bobson Dugnutt 73 75…arrow_forward
- Are cigarettes bad for people? Cigarette smoking involves tar, carbon monoxide, and nicotine (measured in milligrams). The first two are definitely not good for a person's health, and the last ingredient can cause addiction. Use the data in the table above to make a stem-and-leaf display for milligrams of tar per cigarette smoked. (Enter NONE in any unused answer blanks.) Are there any outliers? A. Yes, 1.0 may be an outlier. B. No, there are no outliers. C. Yes, 29.8 may be an outlier.arrow_forwardYour statistics instructor often ponders the relationship between commute time and job satisfaction while driving back and forth to campus. Your instructor hypothesizes that people with a shorter commute time will have higher degrees of job satisfaction. Randomly sampling 600 Valley commuters, the instructor finds the following data listed in frequencies: Table 2: Commuters by Length of Commute and Job Satisfaction Job Satisfaction Number Who Commute 20 Minutes or Less Number Who Commute 21 to 40 Minutes Number Who Commute 41 Minutes or More Total Number for Each Level of Job Satisfaction Dissatisfied 10 60 140 210 Neutral 45 59 51 155 Satisfied 145 60 30 235 Total Number for Each Commute Time Range 200 179 221 1. Change frequencies to column percentages.arrow_forwardA sample of 25 freshmen at a major university completed a survey that measured their degree of racial prejudice (the higher the score, the greater the prejudice) Compute the median and mean for these data? 10 43 30 30 45 40 12 40 42 35 45 25 10 33 50 42 32 38 11 47 22 26 37 38 10arrow_forward
- A shopper at a local supermarket has spent these amounts in his last eight trips to the store: $32.92, 14.14, 30.80, 28.34, 75.58, 36.33, 33.51, and 22.94. Which statement about deleting the amount spent of $75.58 is false? a. The median of this data set may be more representative of the mean. b. The value of the mean would be reduced by $5.89. c. The value of the mean would not change. d. The value of the mean would be greatly reduced.arrow_forwardAccording to the 2017 Corporate Travel Index compiled by Business Travel News, the average daily cost for business travel in the United States rose to $321 per day (Executive Travel website). The file Travel contains sample data for an analogous study on the estimated daily living costs for an executive traveling to various international cities. The estimates include a single room at a four- star hotel, beverages, breakfast, taxi fares, and incidental costs. Click on the datafile logo to reference the data. DATA file City Daily Living Cost ($) City Daily Living Cost ($) Bangkok 242.87 Мехico City 212.00 Bogota 260.93 Milan 284.08 Cairo 194.19 Mumbai 139.16 Dublin 260.76 Paris 436.72 Frankfurt 355.36 Rio de Janeiro 240.87 Hong Kong 346.32 Seoul 310.41 Johannesburg 165.37 Tel Aviv 223.73 Lima 250.08 Toronto 181.25 London 326.76 Warsaw 238.20 Madrid 283.56 Washington, D.C. 250.61 a. Compute the sample mean (to 2 decimals). 260.21 b. Compute the sample standard deviation (to 2 decimals). S…arrow_forwardThe following table shows some data from a study on substance use among 10th graders in the United States and Europe. Smoked Cigarettes Cigarette-Free Totals U.S. 14,000 Europe 96,000 Total 71,210 110,000arrow_forward
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