Videos
a.
Find the
Check whether the data are consistent with the National Retail Federation’s report.
a.
Answer to Problem 32E
The mean back-to-school expenditure for Freshman is 1,285 and the mean back-to-school expenditure for Seniors is 433.
Yes, the data are consistent with the National Retail Federation’s report.
Explanation of Solution
Calculation:
The given information is a sample data comparing the back-to-school expenditures for 25 freshmen and 20 seniors.
Software Procedure:
Step by step procedure to obtain the mean using the MINITAB software:
- Choose Stat > Basic Statistics > Display
Descriptive Statistics . - In Variables enter the columns Freshman and Seniors.
- In Statistics select mean.
- Click OK.
Output using the MINITAB software is given below:
Thus, the mean back-to-school expenditure for Freshman is 1,285 and for Seniors is 433.
The data are consistent with the National Retail Federation’s report because the mean back-to-school expenditure for Freshman is higher than Seniors.
b.
Find the
b.
Answer to Problem 32E
The range for the expenditures in Freshman is 1,720 and for Seniors is 352.
Explanation of Solution
Calculation:
The range is calculated as follows:
Software Procedure:
Step by step procedure to obtain the range using the MINITAB software:
- Choose Stat > Basic Statistics > Display Descriptive Statistics.
- In Variables enter the columns Freshman and Seniors.
- In Statistics select Range.
- Click OK.
Output using the MINITAB software is given below:
Thus, the range for the expenditures in Freshman is 1,720 and for Seniors is 352.
c.
Find the
c.
Answer to Problem 32E
The interquartile range for Freshman is 404 and for Seniors is 131.5.
Explanation of Solution
Calculation:
The formula for the location of
where n is the
For Freshmen:
The 25th percentile is calculated as follows:
Here, i is not an integer. Therefore, the 25th percentile is the next integer greater than i. That is, the position of the 25th percentile is 7th position.
Thus, the first
The 75th percentile is calculated as follows:
That is, the position of the 75th percentile is 19th position.
Thus, the third quartile is 1,475.
The IQR can be obtained as follows:
Substitute
Thus, the IQR is 404.
Thus, the interquartile range for Freshman is 404.
For Seniors:
The 25th percentile is calculated as follows:
Here, i is an integer. Therefore, the 25th percentile is the average of the values in the positions i and i+1.
The 25th percentile is obtained below:
Thus, the first quartile is 370.5.
The 75th percentile is calculated as follows:
Here, i is an integer. Therefore, the 75th percentile is the average of the values in the positions i and i+1.
The 75th percentile is obtained below:
Thus, the third quartile is 502.
The IQR can be obtained as follows:
Substitute
Thus, the IQR is 131.5.
Thus, the interquartile range for Seniors is 131.5.
d.
Find the standard deviation for the expenditures in each group.
d.
Answer to Problem 32E
The standard deviation for the expenditures in Freshman is 367 and Seniors is 97.
Explanation of Solution
Calculation:
The standard deviation is calculated as follows:
Software Procedure:
Step by step procedure to obtain the standard deviation using the MINITAB software:
- Choose Stat > Basic Statistics > Display Descriptive Statistics.
- In Variables enter the columns Freshman and Seniors.
- In Statistics select Standard deviation.
- Click OK.
Output using the MINITAB software is given below:
Thus, the standard deviation for the expenditures in Freshman is 367 and Seniors is 97.
e.
Explain whether freshmen or seniors have more variation in back-to-school expenditures.
e.
Explanation of Solution
From parts (b) to (d), all measures of variability suggest that freshmen have more variation in back-to-school expenditures.
Want to see more full solutions like this?
Chapter 3 Solutions
EBK STATISTICS FOR BUSINESS & ECONOMICS
- Activ Determine compass error using amplitude (Sun). Minimum number of times that activity should be performed: 3 (1 each phase) Sample calculation (Amplitude- Sun): On 07th May 2006 at Sunset, a vessel in position 10°00'N 010°00'W observed the Sun bearing 288° by compass. Find the compass error. LMT Sunset: LIT: (+) 00d 07d 18h 00h 13m 40m UTC Sunset: 07d 18h 53m (added- since longitude is westerly) Declination (07d 18h): N 016° 55.5' d (0.7): (+) 00.6' Declination Sun: N 016° 56.1' Sin Amplitude = Sin Declination/Cos Latitude = Sin 016°56.1'/ Cos 10°00' = 0.295780189 Amplitude=W17.2N (The prefix of amplitude is named easterly if body is rising, and westerly if body is setting. The suffix is named same as declination) True Bearing=287.2° Compass Bearing= 288.0° Compass Error = 0.8° Westarrow_forwardOnly sure experts solve it correct complete solutions okkarrow_forward13. In 2000, two organizations conducted surveys to ascertain the public's opinion on banning gay men from serving in leadership roles in the Boy Scouts.• A Pew poll asked respondents whether they agreed with "the recent decision by the Supreme Court" that "the Boy Scouts of America have a constitutional right to block gay men from becoming troop leaders."A Los Angeles Times poll asked respondents whether they agreed with the following statement: "A Boy Scout leader should be removed from his duties as a troop leader if he is found out to be gay, even if he is considered by the Scout organization to be a model Boy Scout leader."One of these polls found 36% agreement; the other found 56% agreement. Which of the following statements is true?A) The Pew poll found 36% agreement, and the Los Angeles Times poll found 56% agreement.B) The Pew poll includes a leading question, while the Los Angeles Times poll uses neutral wording.C) The Los Angeles Times Poll includes a leading question, while…arrow_forward
- Introduce yourself and describe a time when you used data in a personal or professional decision. This could be anything from analyzing sales data on the job to making an informed purchasing decision about a home or car. Describe to Susan how to take a sample of the student population that would not represent the population well. Describe to Susan how to take a sample of the student population that would represent the population well. Finally, describe the relationship of a sample to a population and classify your two samples as random, systematic, cluster, stratified, or convenience.arrow_forward1.2.17. (!) Let G,, be the graph whose vertices are the permutations of (1,..., n}, with two permutations a₁, ..., a,, and b₁, ..., b, adjacent if they differ by interchanging a pair of adjacent entries (G3 shown below). Prove that G,, is connected. 132 123 213 312 321 231arrow_forwardYou are planning an experiment to determine the effect of the brand of gasoline and the weight of a car on gas mileage measured in miles per gallon. You will use a single test car, adding weights so that its total weight is 3000, 3500, or 4000 pounds. The car will drive on a test track at each weight using each of Amoco, Marathon, and Speedway gasoline. Which is the best way to organize the study? Start with 3000 pounds and Amoco and run the car on the test track. Then do 3500 and 4000 pounds. Change to Marathon and go through the three weights in order. Then change to Speedway and do the three weights in order once more. Start with 3000 pounds and Amoco and run the car on the test track. Then change to Marathon and then to Speedway without changing the weight. Then add weights to get 3500 pounds and go through the three gasolines in the same order.Then change to 4000 pounds and do the three gasolines in order again. Choose a gasoline at random, and run the car with this gasoline at…arrow_forward
- AP1.2 A child is 40 inches tall, which places her at the 90th percentile of all children of similar age. The heights for children of this age form an approximately Normal distribution with a mean of 38 inches. Based on this information, what is the standard deviation of the heights of all children of this age? 0.20 inches (c) 0.65 inches (e) 1.56 inches 0.31 inches (d) 1.21 inchesarrow_forwardAP1.1 You look at real estate ads for houses in Sarasota, Florida. Many houses range from $200,000 to $400,000 in price. The few houses on the water, however, have prices up to $15 million. Which of the following statements best describes the distribution of home prices in Sarasota? The distribution is most likely skewed to the left, and the mean is greater than the median. The distribution is most likely skewed to the left, and the mean is less than the median. The distribution is roughly symmetric with a few high outliers, and the mean is approximately equal to the median. The distribution is most likely skewed to the right, and the mean is greater than the median. The distribution is most likely skewed to the right, and the mean is less than the median.arrow_forwardDuring busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?arrow_forward
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL