Question

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Data were collected on the number of people entering an electronics store each hour. The data are presented below.

23 35 42 28 29 17 38 21 49 52 46 37 25 49 37 25 28 13 29 43

1) Construct a stem-and-leaf display of the data. 1) 2) Construct a frequency distribution of the data. 2) 3) Construct cumulative frequency and cumulative percent distributions of the data. 3)

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The police lieutenant in charge of the traffic division has reviewed the number of traffic citations issued per day by each of the 10 police officers in his division. The data were: 13, 21, 12, 34, 31, 13, 22, 26, 25, and 23.

                                         

4) What is the standard deviation for the number of citations issued per day?

5) What is the interquartile range for the number of citations issued per day?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The annual percentage returns on two stocks over a 7-year period were as follows:

4) 5)

6) 7)

         

Stock A: 4.01% 14.31% 19.01% -14.69% -26.49% Stock B: 6.51% 4.41% 3.81% 6.91% 8.01%

6) Compare the means of these two population distribution.

8.01% 5.81%

5.81% 5.11%

                       

7) Compare the standard deviations of these two population distributions.

8) Compute an appropriate measure of dispersion for both stocks to measure the risk of 8)

these investment opportunities. Which stock is more volatile?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The following numbers represent the distance, in miles, that randomly selected ten employees of a firm must travel each way to work from home: 6.5, 14.8, 18.6, 6.5, 17.4, 12.3, 1.9, 12.9, 11.1, and 8.0.

9) Calculate the mean number of miles driven by the ten employees. 9) 10) The standard deviation of the number of miles driven by the ten employees is: 10)

   

1

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
In a recent survey, 12 students at a local university were asked approximately how many hours per week they spend on the Internet. Their responses were: 13, 0, 5, 8, 22, 7, 3, 0, 15, 12, 13, and 17.

11) What is the coefficient of variation for this data? 11)

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A small accounting office is trying to determine its staffing needs for the coming tax season. The manager has collected the following data: 46, 27, 79, 57, 99, 75, 48, 89, and 85. These values represent the number of returns the office completed each year over the entire nine years it has been doing tax returns.

12. 12) For this data, what is the mean number of tax returns completed each year? 12)

13. 13) For this data, what is the median number of tax returns completed each year? 13)

14. 14) For this data, what is the variance of the number of tax returns completed each year? 14)

15. 15) For this data, what is the interquartile for the number of tax returns completed each 15) year?

16. 16) For this data, what is the coefficient of variation for the number of tax returns 16) completed each year?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider the following (x, y) sample data: (53, 37), (34, 26), (10, 29), (63, 55), (28, 36), (58, 48), (28, 41), (50, 42), (39, 21), and (35, 46).

17. 17) Calculate the correlation coefficient sample data. 17)

18. 18) A company produces flashlight batteries with a mean lifetime of 5,200 hours and a 18) standard deviation of 100 hours.
    a. Find the z-score for a battery which lasts only 5,100 hours
    b. Find the z-score for a battery which lasts 5,300 hours

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The data presented below were collected on the amount of time, in hours; it takes an employee, to process an order at a local plumbing wholesaler.

                  

2.8 5.5

4.9 0.5 13.2 14.2 8.9 3.7 15.2 10.2 1.1 14.2 7.8 4.5 10.9 8.8

19. 19) Construct a stem-and-leaf display of the data.

20. 20) Construct a frequency distribution of the data.

11.2 13.4 18.2 17.1

                            

19) 20)

21) Consider the following sample data: 153, 178, 203, 410, 310, 231, 190, and 225. Compute 21)

the mean and median. Is the distribution of these numbers skewed to the right, skewed to the left or symmetric? Why?

2

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Production records for an automobile manufacturer show the following figures for production per shift (maximum production is 720 cars per shift):

693 716 630 706 693 672 699 635 552 708 693 702 708 661 682 705 707 693 696 669 693 684 713 704 672 708

22. 22) Would the mode be a useful summary statistic for these data? Why? 22)

23. 23) Find the median. 23)

24. 24) Find the mean. 24)

25. 25) What does the relation between the mean and median indicate about the shape of the 25) data?

26. 26) For a particular sample of 50 scores on a statistics exam, the following results were 26) obtained:

    Mean = 78 Median = 80 Mode = 84 Range = 52 First quartile = 68 Third quartile = 94 Standard deviation = 11

    What score was earned by more students than any other score? Why?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Calculate the following sample observations on fracture strength:
128, 131, 142, 168, 87, 93, 105, 114, 96, and 98.

27. 27) Calculate and interpret the value of the sample mean 27)

28. 28) Calculate and interpret the value of the sample standard deviation, 28)

29. 29) Use the following data to construct a box-and-whiskers plot. Find the minimum value, 29) median, first quartile, third quartile, and maximum value.

    18 27 34 52 54 59 61 68 78 82 85 87 91 93 100

30. 30) Calculate the location of the 25th, 50th, and 75th percentile and their values, using the 30) following data:

    0 0 5 7 8 9 12 14 22 33

  

Please show all work thanks        

Answer 1

1) A stem and leaf plot of the data is plotted above.

2) A frequency distribution of the data is illustrated above.

3) Cumulative Frequency and cumulative percent distribution of the data is shown in above table.

4) The Standard deviation for the number of citations issued per day is 22.658.

5) The Interquartile range for the number of citations issued per day is 13.