Gen Combo Ll Applied Statistics In Business & Economics; Connect Access Card
6th Edition
ISBN: 9781260260632
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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Chapter 4, Problem 87CE
a.
To determine
Find the
a.
Expert Solution
Answer to Problem 87CE
The Mean and Standard deviation is:
| Measures | Week 1 | Week 2 | Week 3 | Week 4 |
| Mean | 50 | 50 | 50 | 50 |
| Standard deviation | 10.61 | 10.61 | 10.61 | 10.61 |
Explanation of Solution
Calculation:
The data represents the weekend occupancy rates in the nine resort hotels at the time of off season.
For Week 1:
Mean:
Software procedure:
Step-by-step software procedure to obtain Mean using EXCEL software is as follows:
- Open an EXCEL file.
- Enter the data in the column I in cells I1 to I9.
- In cell A1, enter the formula “=AVERAGE(I1:I9)”.
- Output using EXCEL software is given below:
Thus, the mean for Week 1 is 50.
Standard deviation:
Software procedure:
Step-by-step software procedure to obtain Standard deviation using EXCEL software is as follows:
- Open an EXCEL file.
- Enter the data in the column I in cells I1 to I9.
- In cell A1, enter the formula “=STDEV(I1:19)”.
- Output using EXCEL software is given below:
Thus, the Standard deviation for Week 1 is 10.61.
For Week 2:
Mean:
Software procedure:
Step-by-step software procedure to obtain Mean using EXCEL software is as follows:
- Open an EXCEL file.
- Enter the data in the column J in cells J1 to J9.
- In cell A1, enter the formula “=AVERAGE(J1:J9)”.
- Output using EXCEL software is given below:
Thus, the mean for the week 2 is 50.
Standard deviation:
Software procedure:
Step-by-step software procedure to obtain Standard deviation using EXCEL software is as follows:
- Open an EXCEL file.
- Enter the data in the column J in cells J1 to J9.
- In cell A1, enter the formula “=STDEV(J1:J9)”.
- Output using EXCEL software is given below:
Thus, the Standard deviation for Week 2 is 10.61.
For Week 3:
Mean:
Software procedure:
Step-by-step software procedure to obtain Mean using EXCEL software is as follows:
- Open an EXCEL file.
- Enter the data in the column K in cells K1 to K9.
- In cell A1, enter the formula “=AVERAGE(K1:K9)”.
- Output using EXCEL software is given below:
Thus, the mean for Week 3 is 50.
Standard deviation:
Software procedure:
Step-by-step software procedure to obtain Standard deviation using EXCEL software is as follows:
- Open an EXCEL file.
- Enter the data in the column K in cells K1 to K9.
- In cell A1, enter the formula “=STDEV(K1:K9)”.
- Output using EXCEL software is given below:
Thus, the Standard deviation for Week 3 is 10.61.
For Week 4:
Mean:
Software procedure:
Step-by-step software procedure to obtain Mean using EXCEL software is as follows:
- Open an EXCEL file.
- Enter the data in the column L in cells L1 to L9.
- In cell A1, enter the formula “=AVERAGE(L1:L9)”.
- Output using EXCEL software is given below:
Thus, the mean for Week 4 is 50.
Standard deviation:
Software procedure:
Step-by-step software procedure to obtain standard deviation using EXCEL software is as follows:
- Open an EXCEL file.
- Enter the data in the column L in cells L1 to L9.
- In cell A1, enter the formula “=STDEV(L1:L9)”.
- Output using EXCEL software is given below:
Thus, the Standard deviation for Week 4 is 10.61.
b.
To determine
Write the conclusion based on the measures of center and variability.
b.
Expert Solution
Explanation of Solution
By observing the values of mean and standard deviation, it states that the occupancy rate in the hotels is same for all the week ends during offseason. Therefore, it can be concluded that the distribution of the occupancy rate is normal.
c.
To determine
Calculate the
c.
Expert Solution
Answer to Problem 87CE
The Median for the occupancy rates is:
| Measures | Week 1 | Week 2 | Week 3 | Week 4 |
| Median | 50 | 52 | 56 | 47 |
Explanation of Solution
For Week 1:
Median:
Software procedure:
Step-by-step software procedure to obtain Median using EXCEL software is as follows:
- Open an EXCEL file.
- Enter the data in the column I in cells I1 to I9.
- In cell A1, enter the formula “=MEDIAN(I1:19)”.
- Output using EXCEL software is given below:
Thus, the median for Week 1 is 50.
For Week 2:
Median:
Software procedure:
Step-by-step software procedure to obtain Median using EXCEL software is as follows:
- Open an EXCEL file.
- Enter the data in the column J in cells J1 to J9.
- In cell A1, enter the formula “=MEDIAN(J1:J9)”.
- Output using EXCEL software is given below:
Thus, the median for Week 2 is 52.
For Week 3:
Median:
Software procedure:
Step-by-step software procedure to obtain Median using EXCEL software is as follows:
- Open an EXCEL file.
- Enter the data in the column K in cells K1 to K9.
- In cell A1, enter the formula “=MEDIAN(K1:K9)”.
- Output using EXCEL software is given below:
Thus, the median for Week 3 is 56.
For Week 4:
Median:
Software procedure:
Step-by-step software procedure to obtain Median using EXCEL software is as follows:
- Open an EXCEL file.
- Enter the data in the column L in cells L1 to L9.
- In cell A1, enter the formula “=MEDIAN(L1:L9)”.
- Output using EXCEL software is given below:
Thus, the median for Week 4 is 47.
d.
To determine
Construct dot plot for each sample.
d.
Expert Solution
Answer to Problem 87CE
The dot plot for Week 1 is as follows:
The dot plot for Week 2 is as follows:
The dot plot for Week 3 is as follows:
The dot plot for Week 4 is as follows:
Explanation of Solution
Dot plot:
Procedure to draw a dot plot for Week 1:
- Draw a horizontal line and mark the points from 30 to 70 with 5-point scale
- For week 1, mark a point corresponding to each observation along the horizontal line.
Procedure to draw a dot plot for Week 2:
- Draw a horizontal line and mark the points from 30 to 70 with 5-point scale
- For week 2, mark a point corresponding to each observation along the horizontal line.
Procedure to draw a dot plot for Week 3:
- Draw a horizontal line and mark the points from 36 to 64 with 4-point scale
- For week 3, mark a point corresponding to each observation along the horizontal line.
Procedure to draw a dot plot for Week 4:
- Draw a horizontal line and mark the points from 35 to 70 with 5-point scale
- For week 4, mark a point corresponding to each observation along the horizontal line.
Thus, the dot plot has been obtained for Week 1, Week 2, Week 3 and Week 4.
e.
To determine
Describe the things that have been learnt from the median and dot plot, that was not apparent from the means and standard deviation.
e.
Expert Solution
Explanation of Solution
The distribution of the occupancy rate is normal based on the value of mean and standard deviation. However, the median value and dot plot states that the distribution of the occupancy rate is little bit different.
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Chapter 4 Solutions
Gen Combo Ll Applied Statistics In Business & Economics; Connect Access Card
Ch. 4.2 - (a) For each data set, find the mean, median, and...Ch. 4.2 - For each data set, is the mode a good measure of...Ch. 4.2 - For each data set, is the mode a good measure of...Ch. 4.2 - For each data set, which best indicates a typical...Ch. 4.2 - For each data set, which best indicates a typical...Ch. 4.2 - Days on the market are shown for the 36 most...Ch. 4.2 - Scores are shown for the most recent state civil...Ch. 4.2 - A vehicle emissions testing facility can process...Ch. 4.2 - CitiBank recorded the number of customers to use a...Ch. 4.2 - Prob. 10SE
Ch. 4.2 - Prob. 11SECh. 4.2 - Prob. 12SECh. 4.2 - (a) Write the Excel function for the 10 percent...Ch. 4.2 - Prob. 14SECh. 4.2 - Prob. 15SECh. 4.2 - Spirit Airlines kept track of the number of empty...Ch. 4.2 - CitiBank recorded the number of customers to use a...Ch. 4.2 - On Friday night, the owner of Chez Pierre in...Ch. 4.2 - Prob. 19SECh. 4.2 - The number of internet users in Latin America grew...Ch. 4.3 - (a) Find the mean and standard deviation for each...Ch. 4.3 - For each data set: (a) Find the mean. (b) Find the...Ch. 4.3 - In fuel economy tests in city driving conditions,...Ch. 4.3 - Over the past month, Bobs bowling score mean was...Ch. 4.3 - Prob. 25SECh. 4.3 - Prob. 26SECh. 4.3 - (a) Find the coefficient of variation for prices...Ch. 4.3 - Prob. 28SECh. 4.3 - Noodles and Company tested consumer reaction to...Ch. 4.4 - (a) By Chebyshevs Theorem, at least how many...Ch. 4.4 - An exam has a mean of 70 with a standard deviation...Ch. 4.4 - Prob. 32SECh. 4.4 - The mean collection period for accounts receivable...Ch. 4.4 - Convert each individual data value to a...Ch. 4.4 - Prob. 35SECh. 4.4 - Prob. 36SECh. 4.4 - Find the original data value corresponding to each...Ch. 4.4 - CitiBank recorded the number of customers to use a...Ch. 4.4 - Prob. 39SECh. 4.5 - Scores on an accounting exam ranged from 42 to 96,...Ch. 4.5 - In 2007, total compensation (in thousands of...Ch. 4.5 - Waiting times (minutes) for a table at Joeys BBQ...Ch. 4.5 - Coffee temperatures (degrees Fahrenheit) at a...Ch. 4.5 - Prob. 44SECh. 4.5 - On San Martin Boulevard, embedded sensors kept...Ch. 4.5 - Prob. 46SECh. 4.5 - Prob. 47SECh. 4.6 - For each X-Y data set (n = 12): (a) Make a scatter...Ch. 4.6 - Closing prices of two stocks are recorded for 50...Ch. 4.6 - Prob. 50SECh. 4.6 - Prob. 51SECh. 4.7 - Estimate the mean from this table of grouped data...Ch. 4.7 - Estimate the mean from the following table of...Ch. 4 - What are descriptive statistics? How do they...Ch. 4 - Explain each concept: (a) center, (b) variability,...Ch. 4 - Prob. 3CRCh. 4 - List strengths and weaknesses of each measure of...Ch. 4 - Prob. 5CRCh. 4 - (a) What is a bimodal distribution? (b) Explain...Ch. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - (a) Which standard deviation formula (population,...Ch. 4 - (a) To what kind of data does Chebyshevs Theorem...Ch. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - (a) Explain the method of medians for calculating...Ch. 4 - (a) What is a box plot? What does it tell us? (b)...Ch. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 19CRCh. 4 - (a) What is kurtosis? 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Why not the others? a....Ch. 4 - Prob. 10ERQCh. 4 - The management of a theme park obtained a random...Ch. 4 - Which one of the following is true? Why not the...Ch. 4 - Prob. 13ERQCh. 4 - Prob. 14ERQCh. 4 - Here are the ages of a random sample of 20 CEOs...Ch. 4 - Prob. 16ERQCh. 4 - Prob. 17ERQCh. 4 - Prob. 18ERQCh. 4 - Which is not a characteristic of using a log scale...
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