Questions
Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose...

Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average length of time in months patients live once starting the treatment. Two researchers each follow a different set of 40 AIDS patients from the start of treatment until their deaths. The following data (in months) are collected.

  • Researcher 1: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27; 33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24; 18; 47; 33; 34

  • Researcher 2: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22; 31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24; 23; 42; 33; 29

Compute the mean, median, mode, range, and standard deviation for the data sets for each researcher.

In: Statistics and Probability

Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose...

Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average length of time in months patients live once starting the treatment. Two researchers each follow a different set of 40 AIDS patients from the start of treatment until their deaths. The following data (in months) are collected.

  • Researcher 1: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27; 33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24; 18; 47; 33; 34

  • Researcher 2: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22; 31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24; 23; 42; 33; 29

Compute the mean, median, mode, range, and standard deviation for the data sets for each researcher.

In: Statistics and Probability

Howard Rockness was worried. His company, Rockness Bottling, showed declining profits over the past several years...

Howard Rockness was worried. His company, Rockness Bottling, showed declining profits over the past several years despite an increase in revenues. With profits declining and revenues increasing, Rockness knew there must be a problem with costs.

Rockness sent an e-mail to his executive team under the subject heading, “How do we get Rockness Bottling back on track?” Meeting in Rockness’s spacious office, the team began brainstorming solutions to the declining profits problem. Some members of the team wanted to add products. (These were marketing people.) Some wanted to fire the least efficient workers. (These were finance people.) Some wanted to empower the workers. (These people worked in the human resources department.) And some people wanted to install a new computer system. (It should be obvious who these people were.)

Rockness listened patiently. When all participants had made their cases, Rockness said, “We made money when we were a smaller, simpler company. We have grown, added new product lines, and added new products to old product lines. Now we are going downhill. What’s wrong with this picture?”

Rockness continued, “Here, look at this report. This is last month’s report on the cola bottling line. What do you see here?” He handed copies of the following report to the people assembled in his office.

Monthly Report on Cola Bottling Line
Diet Regular Cherry Grape Total
Sales $ 464,000 $ 249,600 $ 91,000 $ 35,175 $ 839,775
Less:
Materials 281,000 164,000 62,160 27,225 534,385
Direct labor 38,500 17,500 5,600 1,200 62,800
Fringe benefits on direct labor 15,400 7,000 2,240 480 25,120
Indirect costs (@260% of direct labor) 100,100 45,500 14,560 3,120 163,280
Gross margin $ 29,000 $ 15,600 $ 6,440 $ 3,150 $ 54,190
Return on sales (see note [a]) 6.3 % 6.3 % 7.1 % 9.0 % 6.5 %
Volume 145,000 78,000 28,000 10,500 261,500
Unit price $ 3.20 $ 3.20 $ 3.25 $ 3.35 $ 3.21
Unit cost $ 3.00 $ 3.00 $ 3.02 $ 3.05 $ 3.00

a Return on sales before considering selling, general and administrative expenses.

Rockness asked, “Do you see any problems here? Should we drop any of these products? Should we reprice any of these products?” The room was silent for a moment, and then everybody started talking at once. Nobody could see any problems based on the data in the report, but they all made suggestions to Rockness ranging from “add another cola product” to “cut costs across the board” to “we need a new computer system so that managers can get this information more quickly.” A not-so-patient Rockness stopped the discussion abruptly and adjourned the meeting.

He then turned to the quietest person in the room—his son, Rocky—and said, “I am suspicious of these cost data, Rocky. Here we are assigning indirect costs to these products using a 260 percent rate. I really wonder whether that rate is accurate for all products. I want you to dig into the indirect cost data, figure out what drives those costs, and see whether you can give me more accurate cost numbers for these products.”

Rocky first learned from production that the process required four activities: (1) setting up production runs, (2) managing production runs, and (3) managing products. The fourth activity did not require labor; it was simply the operation of machinery. Next, he went to the accounting records to get a breakdown of indirect costs. Here is what he found:

Indirect labor $ 62,800
Fringe benefits on indirect labor 25,120
Information technology 46,160
Machinery depreciation 17,500
Machinery maintenance 7,800
Energy 3,900
Total $ 163,280

Then, he began a series of interviews with department heads to see how to assign these costs to cost pools. He found that 40 percent of indirect labor was for scheduling or for handling production runs, including purchasing, preparing the production run, releasing materials for the production run, and performing a first-time inspection of the run. Another 50 percent of indirect labor was used to set up machinery to produce a particular product. The remaining 10 percent of indirect labor was spent maintaining records for each of the four products, monitoring the supply of raw materials required for each product, and improving the production processes for each product. This 10 percent of indirect labor was assigned to the cost driver “number of products.”

Interviews with people in the information technology department indicated that $46,160 was allocated to the cola bottling line. 80 percent of this $46,160 information technology cost was for scheduling production runs. 20 percent of the cost was for record keeping for each of the four products.

Fringe benefits were 40 percent of labor costs. The rest of the overhead was used to supply machine capacity of 52,300 hours of productive time.

Rocky then found the following cost driver volumes from interviews with production personnel.

  • Setups: 1,130 labor-hours for setups.
  • Production runs: 585 production runs.
  • Number of products: 4 products.
  • Machine-hour capacity: 52,300 hours.

  

Diet cola used 390 setup hours, 230 production runs, and 14,500 machine-hours to produce 145,000 units. Regular cola used 155 setup hours, 125 production runs, and 7,800 machine-hours to produce 78,000 units. Cherry cola used 430 setup hours, 125 production runs, and 2,800 machine-hours to produce 28,000 units. Grape cola used 155 setup hours, 105 production runs,and 1,050 machine-hours to produce 10,500 units. Rocky learned that the production people had a difficult time getting the taste just right for the Cherry and Grape colas, so these products required more time per setup than either the Diet or Regular colas.

Required:

a. Recompute the unit costs for each of the cola products: Diet, Regular, Cherry, and Grape. (Round cost driver rates to 3 decimal places and other intermediate calculations to nearest whole dollar value. Round cost per unit answers to 2 decimal places.)

b. What is the cost of unused capacity?

c. Now assume that Rockness is considering producing a fifth product: Vanilla cola. Because Vanilla cola is in high demand in Rockness Bottling’s market, assume that it would use 26,150 hours of machine time to make 261,500 units. (Recall that the machine capacity in this case is 52,300 hours, while Diet, Regular, Cherry, and Grape consume only 26,150 hours.) Vanilla cola’s per unit costs would be identical to those of Diet cola except for the machine usage costs. What would be the cost of Vanilla cola? Calculate on a per-unit basis, and then in total. (Do not round intermediate calculations. Round "Per unit" to 5 decimal places.)

In: Accounting

A newly installed automatic gate system was being tested to see if the number of failures...

A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use α = 0.05.

Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8
Entry failures 44 40 55 56 62 52 45 45
Exit failures 50 53 55 56 55 50 51 47



(c) Find the critical value tcrit for α = 0.05. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)



(d) Find the p-value. (Round your answer to 4 decimal places.)

  

In: Statistics and Probability

Enter two valid BCD numbers. Show the result in seven segment display and LED How to...

Enter two valid BCD numbers. Show the result in seven segment display and LED

How to do this using the components dip switch, Two BCD adders 74ls83, And gates, OR gates, 74 ls47 decoder, 7 segment display and LED

In: Electrical Engineering

The data from data105.dat contains information on 78 seventh-grade students. We want to know how well...

The data from data105.dat contains information on 78 seventh-grade students. We want to know how well each of IQ score and self-concept score predicts GPA using least-squares regression. We also want to know which of these explanatory variables predicts GPA better. Give numerical measures that answer these questions. (Round your answers to three decimal places.)
(Regressor: IQ) R 2 =

(Regressor: Self-Concept) R 2  =

obs     gpa     iq      gender  concept
1       7.94    101     2       44
2       8.292   120     2       57
3       4.643   114     2       49
4       7.47    106     2       68
5       8.882   116     1       82
6       7.585   107     2       58
7       7.65    101     2       73
8       2.412   81      2       22
9       6       109     1       39
10      8.833   110     2       66
11      7.47    99      1       75
12      5.528   104     1       47
13      7.167   101     2       59
14      7.571   104     1       71
15      4.7     108     1       44
16      8.167   106     1       44
17      7.822   105     1       73
18      7.598   104     1       76
19      4       95      2       41
20      6.231   102     1       46
21      7.643   111     2       52
22      1.76    119     2       44
24      6.419   111     1       48
26      9.648   104     2       60
27      10.7    115     1       44
28      10.58   138     2       50
29      9.429   115     2       59
30      8       108     2       69
31      9.585   115     2       56
32      9.571   118     1       49
33      8.998   121     1       63
34      8.333   119     1       60
35      8.175   123     2       69
36      8       96      2       40
37      9.333   108     1       53
38      9.5     111     2       70
39      9.167   131     2       47
40      10.14   126     1       76
41      9.999   112     1       67
43      10.76   122     2       91
44      9.763   134     2       87
45      9.41    103     2       65
46      9.167   116     2       67
47      9.348   101     2       83
48      8.167   112     2       74
50      3.647   95      2       56
51      3.408   73      1       47
52      3.936   80      2       33
53      7.167   121     2       50
54      7.647   111     2       61
55      .53     81      2       27
56      6.173   106     2       46
57      7.295   117     2       74
58      7.295   112     1       69
59      8.938   98      1       68
60      7.882   102     1       51
61      8.353   114     2       58
62      5.062   116     2       56
63      8.175   123     2       50
64      8.235   91      2       64
65      7.588   102     2       38
68      7.647   115     2       44
69      5.237   105     1       40
71      7.825   86      2       75
72      7.333   111     1       57
74      9.167   116     2       50
76      7.996   106     2       40
77      8.714   118     1       68
78      7.833   114     1       71
79      4.885   102     2       65
80      7.998   131     1       55
83      3.82    98      2       31
84      5.936   111     1       57
85      9       117     1       56
86      9.5     111     1       53
87      6.057   97      2       58
88      6.057   110     1       43
89      6.938   121     2       43

In: Statistics and Probability

Nick runs a small business conducting online economics tutorials. He has recently noticed a large influx...

Nick runs a small business conducting online economics tutorials. He has recently noticed a large influx of competitors to this market. There are now over 50 companies conducting online economics tutorials in Melbourne alone, each with their own technology and style of teaching. What kind of market structure is this? Make sure you examine each of the characteristics of market structure in your answer. Explain whether the government should be worried about any aspects of this market structure. How can the government address these concerns?

In: Economics

Nick runs a small business conducting online economics tutorials. He has recently noticed a large influx...

Nick runs a small business conducting online economics tutorials. He has recently noticed a large influx of competitors to this market. There are now over 50 companies conducting online economics tutorials in Melbourne alone, each with their own technology and style of teaching. What kind of market structure is this? Make sure you examine each of the characteristics of market structure in your answer. Explain whether the government should be worried about any aspects of this market structure. How can the government address these concerns?

In: Economics

For each of the following questions, evaluate whether the statement is “true” or “false”. Then, provide...

For each of the following questions, evaluate whether the statement is “true” or “false”. Then, provide a brief explanation to justify your answer. (40 possible points)

  1. If the velocity of money increases and nothing else changes, nominal GDP will rise.
  2. If the required reserve rate is 5%, bank runs will be more likely than if the required reserve rate is 20%.
  3. If the required reserve rate is increased from 10% to 20%, the amount of money in society will double.
  4. If the value of M1 increases and nothing else changes, the value of M2 will also increase.

In: Economics

Use excel only, please! problem #1 data contains data on automobile manufacturer who employs sales representatives...

Use excel only, please!

problem #1 data contains data on automobile manufacturer who employs sales representatives who make calls on dealers. The manufacturer wishes to compare the effectiveness of four different call-frequency plans for the sales representatives. Thirty-two representatives are chosen at random from the sales force and randomly assigned to the four call plans for six months, and their sales for the 6-month study period are recorded. Do the sample data support the hypothesis that at least one of the calls plans helps produce a higher average level of sales? Perform an appropriate statistical test and report a P-value.

Plan A Plan B Plan C Plan D
36 39 44 31
40 45 43 43
32 54 38 46
44 53 40 43
35 46 41 36
41 42 35 49
44 35 37 46
42 39 37 48

In: Statistics and Probability