When survey data indicated that a company needed to improve its package-sealing process, an experiment was conducted to determine the factors in the bag-sealing equipment that might be affecting the ease of opening the bags without tearing the inner liner of the bag. Data were collected on 19 bags and the plate gap on the bag-sealing equipment was used to predict the tear rating of a bag. The results are displayed in the accompanying table and the regression equation is the following. Complete parts (a) through (c).
ModifyingAbove Upper Y with caret Subscript iYiequals=0.79060.7906plus+0.46820.4682Xi,
with
Summation from i equals 1 to n∑i=1nYiequals=14.7414.74,
Summation from i equals 1 to n∑i=1nUpper Y Subscript i Superscript 2Y2iequals=40.320240.3202,
and
Summation from i equals 1 to n∑i=1nXiYiequals=20.1720.17.
| Bag | Plate gap (X) | Tear rating (Y) |
| 1 | -0.3 | 0.09 |
| 2 | 0.3 | 0.08 |
| 3 | 2.1 | 0.47 |
| 4 | 1.5 | 0.82 |
| 5 | 0 | 0.32 |
| 6 | -0.3 | 0.36 |
| 7 | -0.3 | 0.78 |
| 8 | -0.3 | 1.93 |
| 9 | 0 | 0.23 |
| 10 | -1.5 | 0.13 |
| 11 | -1.5 | 0.12 |
| 12 | 2.4 | 3.96 |
| 13 | -2.1 | 0.04 |
| 14 | 0 | 0.56 |
| 15 | -3 | 0.01 |
| 16 | -2.1 | 0.05 |
| 17 | 2.1 | 0.43 |
| 18 | 2.1 | 4.31 |
| 19 | 0.3 | 0.05 |
a. Determine the coefficient of determination, r2,and interpret its meaning.
What is the meaning of the coefficient ofdetermination? (Choose Below)
A. It measures the variability in the actual plate gap from the predicted plate gap.
B. It measures the variability in the actual tear rating from the predicted tear rating.
C. It is the proportion of the variation in the plate gap that is explained by the variability in the tear rating.
D. It is the proportion of the variation in the tear rating that is explained by the variability in the plate gap.
b. Determine the standard error of the estimate.
SYX = ___? (Round to four decimal places asneeded.)
c. How useful do you think this regression model is for predicting the tear rating based on the plate gap in thebag-sealing equipment? (Choose Below)
What is the meaning of the coefficient ofdetermination? (Choose Below)
A. It measures the variability in the actual plate gap from the predicted plate gap.
B. It measures the variability in the actual tear rating from the predicted tear rating.
C. It is the proportion of the variation in the plate gap that is explained by the variability in the tear rating.
D. It is the proportion of the variation in the tear rating that is explained by the variability in the plate gap.
b. Determine the standard error of the estimate.
SYX = ___? (Round to four decimal places asneeded.)
c. How useful do you think this regression model is for predicting the tear rating based on the plate gap in thebag-sealing equipment? (Choose Below)
In: Statistics and Probability
Movie Theater Attendance The data shown are the weekly admissions, in millions, of people attending movie theaters over three different time periods. At α = 0.05, is there a difference in the means for the weekly attendance for these time periods?
Use the traditional method of hypothesis testing unless otherwise specified.
a. State the hypotheses and identify the claim.
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
|
1950–1974 |
1975–1990 |
1991–2000 |
|
58.0 |
17.1 |
23.3 |
|
39.9 |
19.9 |
26.6 |
|
25.1 |
19.6 |
27.7 |
|
19.8 |
20.3 |
26.5 |
|
17.7 |
22.9 |
25.8 |
H0: μ1 = μ2 = μ3. H1: At least one mean is different from the others (claim); C.V. = 3.89; d.f.N. = 2; d.f.D. = 12; α = 0.05; F = 1.89; do not reject. There is not enough evidence to support the claim that at least one mean is different from the others.
In: Statistics and Probability
Tiger Furnishings produces two models of cabinets for home
theater components, the Basic and the Dominator. Data on operations
and costs for March follow:
| Basic | Dominator | Total | |||||||
| Units produced | 1,180 | 390 | 1,570 | ||||||
| Machine-hours | 3,100 | 2,900 | 6,000 | ||||||
| Direct labor-hours | 2,200 | 2,100 | 4,300 | ||||||
| Direct materials costs | $ | 18,000 | $ | 5,750 | $ | 23,750 | |||
| Direct labor costs | 63,000 | 47,000 | 110,000 | ||||||
| Manufacturing overhead costs | 187,810 | ||||||||
| Total costs | $ | 321,560 | |||||||
Tiger Furnishings’s CFO believes that a two-stage cost allocation
system would give managers better cost information. She asks the
company’s cost accountant to analyze the accounts and assign
overhead costs to two pools: overhead related to direct labor cost
and overhead related to machine-hours.
The analysis of overhead accounts by the cost accountant follows:
| Manufacturing Overhead | Overhead Estimate |
Cost Pool Assignment | |
| Utilities | $ | 1,500 | Machine-hour related |
| Supplies | 4,300 | Direct labor cost related | |
| Training | 8,600 | Direct labor cost related | |
| Supervision | 25,800 | Direct labor cost related | |
| Machine depreciation | 27,000 | Machine-hour related | |
| Plant depreciation | 19,500 | Machine-hour related | |
| Miscellaneous | 101,110 | Direct labor cost related | |
Required:
b. Compute the product costs per unit assuming that Tiger Furnishings uses direct labor costs and machine-hours to allocate overhead to the products. (Do not round intermediate calculations. Round your final answers to the nearest whole number.)
|
In: Accounting
Tiger Furnishings produces two models of cabinets for home
theater components, the Basic and the Dominator. Data on operations
and costs for March follow:
| Basic | Dominator | Total | ||||
| Units produced | 950 | 400 | 1,350 | |||
| Machine-hours | 3,000 | 2,100 | 5,100 | |||
| Direct labor-hours | 3,900 | 2,600 | 6,500 | |||
| Direct materials costs | $ | 11,000 | $ | 3,400 | $ | 14,400 |
| Direct labor costs | 71,300 | 36,400 | 107,700 | |||
| Manufacturing overhead costs | 220,350 | |||||
| Total costs | $ | 342,450 | ||||
Required:
Compute the predetermined overhead rate assuming that Tiger Furnishings uses direct labor-hours to allocate overhead costs. (Round your answer to 2 decimal places.)
In: Accounting
Tiger Furnishings produces two models of cabinets for home theater components, the Basic and the Dominator. Data on operations and costs for March follow:
Basic Dominator Total
Units produced 1,000 450 1,450
Machine-hours 3,000 2,800 5,800
Direct labor-hours 2,900 2,300 5,200
Direct materials costs $ 8,200 $ 3,350 $ 11,550
Direct labor costs 58,700 31,300 90,000
Manufacturing overhead costs 183,560
Total costs $ 285,110
Required:
Compute the predetermined overhead rate assuming that Tiger Furnishings uses direct labor-hours to allocate overhead costs.
Predetermined overhead rate __________% per direct labor hour
In: Accounting
Tiger Furnishings
produces two models of cabinets for home theater components, the
Basic and the Dominator. Data on operations and costs for March
follow:
| Basic | Dominator | Total | |||||||
| Units produced | 1,500 | 250 | 1,750 | ||||||
| Machine-hours | 4,000 | 2,000 | 6,000 | ||||||
| Direct labor-hours | 2,000 | 1,000 | 3,000 | ||||||
| Direct materials costs | $ | 10,000 | $ | 4,000 | $ | 14,000 | |||
| Direct labor costs | 64,000 | 40,000 | 104,000 | ||||||
| Manufacturing overhead costs | 182,520 | ||||||||
| Total costs | $ | 300,520 | |||||||
Required:
Compute the individual product costs per unit assuming that Tiger Furnishings uses machine-hours to allocate overhead to the products. (Do not round intermediate calculations. Round final answers to 2 decimal places.)
?Basic unit cost:
Dominatior unit cost:
In: Accounting
Tiger Furnishings
produces two models of cabinets for home theater components, the
Basic and the Dominator. Data on operations and costs for March
follow:
| Basic | Dominator | Total | |||||||
| Units produced | 1,500 | 250 | 1,750 | ||||||
| Machine-hours | 3,000 | 2,000 | 5,000 | ||||||
| Direct labor-hours | 4,000 | 3,000 | 7,000 | ||||||
| Direct materials costs | $ | 10,000 | $ | 3,500 | $ | 13,500 | |||
| Direct labor costs | 65,000 | 31,000 | 96,000 | ||||||
| Manufacturing overhead costs | 164,064 | ||||||||
| Total costs | $ | 273,564 | |||||||
Required:
Compute the individual product costs per unit assuming that Tiger Furnishings uses machine-hours to allocate overhead to the products. (Do not round intermediate calculations. Round final answers to 2 decimal places.)
Basic
Dominator
In: Accounting
Tiger Furnishings
produces two models of cabinets for home theater components, the
Basic and the Dominator. Data on operations and costs for March
follow:
| Basic | Dominator | Total | |||||||
| Units produced | 1,300 | 380 | 1,680 | ||||||
| Machine-hours | 3,300 | 2,700 | 6,000 | ||||||
| Direct labor-hours | 3,400 | 3,700 | 7,100 | ||||||
| Direct materials costs | $ | 19,000 | $ | 4,150 | $ | 23,150 | |||
| Direct labor costs | 62,500 | 52,500 | 115,000 | ||||||
| Manufacturing overhead costs | 201,200 | ||||||||
| Total costs | $ | 339,350 | |||||||
Tiger Furnishings’s CFO believes that a two-stage cost allocation
system would give managers better cost information. She asks the
company’s cost accountant to analyze the accounts and assign
overhead costs to two pools: overhead related to direct labor cost
and overhead related to machine-hours.
The analysis of overhead accounts by the cost accountant follows:
| Manufacturing Overhead |
Overhead Estimate |
Cost Pool Assignment | |
| Utilities | $ | 1,600 | Machine-hour related |
| Supplies | 4,600 | Direct labor cost related | |
| Training | 9,200 | Direct labor cost related | |
| Supervision | 21,800 | Direct labor cost related | |
| Machine depreciation | 30,000 | Machine-hour related | |
| Plant depreciation | 22,400 | Machine-hour related | |
| Miscellaneous | 111,600 | Direct labor cost related | |
Required:
b. Compute the product costs per unit assuming that Tiger Furnishings uses direct labor costs and machine-hours to allocate overhead to the products. (Do not round intermediate calculations.)
BASIC DOMINATOR TOTAL
PRODUCT
COSTING
DIRECT MATERIAL ? ? ?
DIRECT LABOR ? ? ?
OVERHEAD
MACHINE-RELATED ? ? ?
LABOR-RELATED ? ? ?
TOTAL-OVERHEAD ? ? ?
TOTAL COST ? ? ?
UNITS PRODUCED ? ?
UNIT COST ? ?
ALL THE ONES
WITH QUESTIONS MARKS REQUIRED ANSWERS THANK YOU
In: Accounting
In: Computer Science
Find the 95% z-interval or t-interval for the indicated parameter.
(a) μ x̄=138, s=38, n=35
(b) p p̂=0.7, n=73x
(a) The 95% confidence interval for μ is ___ to ____. (Round to two decimal places as needed.)
In: Statistics and Probability