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        

Refer to the Lincolnville School District bus data.

Conduct a test of hypothesis to reveal whether the mean maintenance cost is equal for each of the bus manufacturers. Use the .01 significance level.

Conduct a test of hypothesis to determine whether the mean miles traveled since the last maintenance is equal for each bus manufacturer. Use the .05 significance level.

Show work in Excel.

Hammering and shaping a hot steel block on an anvil is an example of: a) Open-die forging. b) Closed-die forging. c) Flashless forging. d) Impression die forging.

Resistance spot welding can be used to join sheets of _______ and_______. a) Rubber, steel. b) PVC plastics, copper. c) Stainless steel, leather. d) None of the above.

An advantage of forward extrusion over backward extrusion is: a) Lower pressure. b) Lower force. c) All of the above. d) None of the above.

In a rolling process, if both roller diameters reduce by 25%, then the required power to rotate the rollers would: a) Increase 25%. b) Decrease 25%. c) Increase 50%. d) Decrease 50%.

Which of the following bulk deformation processes are involved in the production of nails for lumber construction? a) Wire drawing, flashless forging, and impression die forging. b) Wire drawing, flashless forging, and rolling. c) Flashless forging, impression die forging, and upsetting. d) Extrusion, flashless forging, and wire drawing

The thickness of each of the two sheets to be resistance spot welded is 3.5 mm. It is desired to form a weld nugget that is 5.5 mm in diameter and 5.0 mm thick after 0.3 sec welding time. The unit melting energy for a certain sheet metal is 9.5 J/mm3 . The electrical resistance between the surfaces is 140 micro ohms, and only one third of the electrical energy generated will be used to form the weld nugget (the rest being dissipated), determine the minimum current level required.

A GTAW operation is performed on low carbon steel, whose unit melting energy is 10.3 J/mm3 . The welding voltage is 22 volts and the current is 135 amps. The heat transfer factor is 0.7 (convection heat loss of 30%) and the melting factor is 0.65 (conduction heat loss of 35%). If filler metal wire of 3.5 mm diameter is added to the operation, the final weld bead is composed of 60% volume of filler and 40% volume base metal. If the travel speed in the operation is 5 mm/sec, determine:

(a) The cross sectional area of the weld bead

(b) The feed rate (mm/sec) at which the filler wire must be supplied.

1)

Assume that the national average score on a standardized test is 1010, and the standard deviation is 200, where scores are normally distributed. What is the probability that a test taker scores at least 1600 on the test?

• Round your answer to two decimal places.

_________________________________________

2)

Assume that the salaries of elementary school teachers in a particular country are normally distributed with a mean of $38,000 and a standard deviation of $4,000. What is the cutoff salary for teachers in the top 7%?

• Use Excel, and round your answer to the nearest dollar.

___________________________________________

3) A cookie manufacturer sells boxes of cookies that claim to weigh 16 ounces on the packaging. Due to variation in the manufacturing process, the weight of the manufactured boxes follows a normal distribution with a mean of 16 ounces and a standard deviation of 0.25 ounce. The manufacturer decides it does not want to sell any boxes with weights below the 1st percentile so as to avoid negative customer responses. What is the minimum acceptable weight, in ounces, of a box of cookies? Round your answer to two decimal places.

_____________________________________________

4) The weights of bags of raisins are normally distributed with a mean of 175 grams and a standard deviation of 10 grams. Bags in the upper 4.5% are too heavy and must be repackaged. Also, bags in the lower 5% do not meet the minimum weight requirement and must be repackaged. What are the ranges of weights for raisin bags that need to be repackaged? Use a TI-83, TI-83 plus, or TI-84 calculator, and round your answers to the nearest integer.

___________________________________________

5)

The resistance of a strain gauge is normally distributed with a mean of 100 ohms and a standard deviation of 0.3 ohms. To meet the specification, the resistance must be within the range 100±0.7 ohms. What proportion of gauges is acceptable?

• Round your answer to four decimal places.

________________________________________________

6)

Suppose that the weight of sweet cherries is normally distributed with mean μ=6 ounces and standard deviation σ=1.4 ounces. What proportion of sweet cherries weigh more than 4.7 ounces?

• Round your answer to four decimal places.

___________________________________________

7)

Suppose X∼N(8,1.5), and x=5. Find and interpret the z-score of the standardized normal random variable.

The z-score when x=5 is ___. The mean is ____

This z-score tells you that x=5 is ___ standard deviations to the left of the mean.

____________________________________

The market is expected to generate a 12% return and the risk free rate is 4%. A portfolio manager has 70% of her capital allocated to stock A with a beta of 0.8, which generated a total return of 11%. 30% of her capital is allocated to stock B with a beta of 1.1, which generated a total return of 12%. What Alpha was generated by the manager by allocating more capital to stock A?

Multiple Choice

0.25%

0.38%

0.18%

0.11%

Perez Company has the following information for the pay period of January 15–31.

Assuming no employees are subject to ceilings for their earnings, calculate Salaries Payable and Payroll Tax Expense.

Instead of assuming that the volume of a condensed phase is constant when pressure is applied, assume only that the compressibility is constant.

1. Show that when the pressure is changed isothermally by ΔP, G changes to

G'=G+VmΔP(1-12κTΔP)

2. Assess the error in assuming that a solid is incompressible by applying this expression to the compression of copper when ΔP = 500 atm. (For copper at 25℃, κT = 0.8*10^-6 atm^-1 and ρ = 8.93 g/cm³.)

Five identical positive charges +49.8 nC are placed equally spaced around a circle of radius 14.8 cm in the xy-plane (i.e. z = 0.0 cm) centred at the origin. (answer to 1 decimal place.)

(a) What is the magnitude of the resultant field at the centre of the circle?

(b) An additional charge +49.8 nC is placed at coordinates (-6.4, 8.4, 0.8) cm. What is the magnitude of the resultant field at the centre of the circle now?

A closed rectangular tank 1.2 m high, 2.4 m long and 1.5 m wide is two-thirds full of gasoline (specic gravity 0.8). Calculate the acceleration which may be imparted to the tank so that the bottom front end of the tank is just exposed. Also calculate the total forces on each end of the tank and show that the dierence between these forces equals the unbalanced force necessary to accelerate the liquid mass in the tank.