Exam 3: Descriptive Statistics: Numerical Methods

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The measurement in a sample or a population that occurs most frequently is the ___________.

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The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m. ).They selected 13 patrons and had them get in line between 2 and 3 p.m.Each was given a stopwatch to record the time they spent in line.The times recorded were as follows (in minutes). 118,124,108,116,99,120,148,118,119,121,45,130,118 What is the first quartile?

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In a statistics class,the following 10 scores were randomly selected: 74,73,77,77,71,68,65,77,67,66. What is the mean?

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The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m. ).They selected 13 patrons and had them get in line between 2 and 3 p.m.Each was given a stopwatch to record the time they spent in line.The times recorded were as follows (in minutes). 118,124,108,116,99,120,148,118,119,121,45,130,118 What are the lower and upper limits?

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Researchers wish to study fuel consumption rates based on speed.The data from 10 cars are below: Speed Miles/Gallon 15 14 23 17 30 20 35 24 42 26 45 23 50 18 54 15 60 11 65 10 It can be shown that for these data: Xˉ=41.9,yˉ=17.8,i=110(xixˉ)2=2352.9\bar{X}=41.9, \quad \bar{y}=17.8, \quad \sum_{i=1}^{10}\left(x_{i}-\bar{x}\right)^{2}=2352.9 i=110(yiyˉ)2=267.6,i=110(xixˉ)(yiyˉ)=270.2\sum_{i=1}^{10}\left(y_{i}-\bar{y}\right)^{2}=267.6, \quad \sum_{i=1}^{10}\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)=-270.2 Calculate b1.

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Personnel managers usually want to know where a job applicant ranked in his or her graduating class.With a grade point average of 3.83,Michelle Robinson graduated above the 93rd percentile of her graduating class.What is the percentile rank of a student whose GPA was the median GPA.

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In a hearing test,subjects estimate the loudness (in decibels)of a sound,and the results are (mean = 70): 68,67,70,71,68,75,68,62,80,73,68 What is the standard deviation?

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The geometric mean growth rate of sales for used cars in a geographic area from 2005 to 2009 was 16.42 percent.Annual sales in 2005 were $14.2 million.Find the ending value of sales after this four-year period.

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The following table shows the Price-to-Earnings ratio for a stereo equipment manufacturing company between 1998 and 2002. 1998 12.4 1999 14.6 2000 11.1 2001 8.2 2002 6.8 Determine the percentage change in the P/E ratios from 1999 to 2000.

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The company financial officer was interested in the average cost of PCs that had been purchased in the past six months.She took a random sample of the price of 10 computers,with the following results. $3,250,$1,127,$2,995,$3,250,$3,445,$3,449,$1,482,$6,120,$3,009,$4,000 What is the 65th percentile?

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If b0 = 32 and b1 = -4 and the predicted value of y is 14,what is the value of x?

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The company financial officer was interested in the average cost of PCs that had been purchased in the past six months.She took a random sample of the price of 10 computers,with the following results. $3,250,$1,127,$2,995,$3,250,$3,445,$3,449,$1,482,$6,120,$3,009,$4,000 What is the 10th percentile?

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In a statistics class,10 scores were randomly selected with the following results were obtained: 74,73,77,77,71,68,65,77,67,66. What is the mode?

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In a hearing test,subjects estimate the loudness (in decibels)of a sound,and the results are (mean = 70): 68,67,70,71,68,75,68,62,80,73,68 What is the variance?

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The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m. ).They selected 13 patrons and had them get in line between 2 and 3 p.m.Each was given a stopwatch to record the time they spent in line.The times recorded were as follows (in minutes). 118,124,108,116,99,120,148,118,119,121,45,130,118 What is the third quartile?

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The company financial officer was interested in the average cost of PCs that had been purchased in the past six months.She took a random sample of the price of 10 computers,with the following results. $3,250,$1,127,$2,995,$3,250,$3,445,$3,449,$1,482,$6,120,$3,009,$4,000 What is the 90th percentile?

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The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m. ).They selected 13 patrons and had them get in line between 2 and 3 p.m.Each was given a stopwatch to record the time they spent in line.The times recorded were as follows (in minutes). 118,124,108,116,99,120,148,118,119,121,45,130,118 What is the 90th percentile?

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In a study of employee stock ownership plans,data wee collected at seven companies on satisfaction with the plan and the amount of organization commitment. Satisfaction Commitment 5.05 5.37 4.12 4.49 5.39 5.42 4.17 4.45 4.00 4.24 4.49 5.34 5.40 5.62 It can be shown that for these data: Xˉ=4.66,yˉ=4.99,i=17(xixˉ)2=2.23\bar{X}=4.66, \quad \bar{y}=4.99, \quad \sum_{i=1}^{7}\left(x_{i}-\bar{x}\right)^{2}=2.23 i=17(yiyˉ)2=1.95,i=17(xixˉ)(yiyˉ)=1.898\sum_{i=1}^{7}\left(y_{i}-\bar{y}\right)^{2}=1.95, \quad \sum_{i=1}^{7}\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)=1.898 Calculate b1.

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The following frequency table summarizes the ages of 60 shoppers at the local grocery store. Age of the shopper Frequency 15-23 10 24-32 21 33-41 10 42-50 8 51-59 5 60-68 6 The sample mean for the above frequency table is calculated as 36.25.Calculate the approximate sample standard deviation for this data set.

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The arithmetic mean is ___________ larger than a weighted mean in a set of data that uses unequal weights.

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