For a normally distributed population, : with a standard deviation of 3.8

An article claims the mean life expectancy of wolves is greater than 7 years. David is a researcher and he decides to sample the population. He obtains the age of death of 30 wolves that have been studied and found the mean age of death to be 8.2.

Determine the test statistic that David should use to help make decisions about whether or not the mean lifespan of wolves is greater then 7 years, with 95% confidence.

If the Kb of a weak base is 3.8 × 10-6, what is the pH of a 0.39 M solution of this base?

]

Exercise 23-6

On January 1, 2017, the Hardin Company budget committee has reached agreement on the following data for the 6 months ending June 30, 2017.

Sales units: First quarter 5,700; second quarter 6,200; third quarter 7,200
Ending raw materials inventory: 40% of the next quarter’s production requirements
Ending finished goods inventory: 25% of the next quarter’s expected sales units
Third-quarter production: 7,670 units.

The ending raw materials and finished goods inventories at December 31, 2016, follow the same percentage relationships to production and sales that occur in 2017. 4 pounds of raw materials are required to make each unit of finished goods. Raw materials purchased are expected to cost $4 per pound.

Prepare a production budget by quarters for the 6-month period ended June 30, 2017.

HARDIN COMPANY
Production Budget

June 30, 2017
For the Quarter Ending June 30, 2017
For the Six Months Ending June 30, 2017
Quarter
1
2
Six Months

Total Materials Required
Direct Materials Per Unit
Expected Unit Sales
Total Required Units
Desired Ending Direct Materials
Beginning Finished Goods Unit
Desired Ending Finished Goods Unit
Beginning Direct Materials
Direct Materials Purchases
Required Production Units

Add
Less
:

Beginning Direct Materials
Expected Unit Sales
Total Materials Required
Desired Ending Finished Goods Unit
Required Production Units
Beginning Finished Goods Unit
Total Required Units
Desired Ending Direct Materials
Direct Materials Per Unit
Direct Materials Purchases

Beginning Direct Materials
Total Materials Required
Desired Ending Finished Goods Unit
Direct Materials Per Unit
Direct Materials Purchases
Expected Unit Sales
Required Production Units
Total Required Units
Beginning Finished Goods Unit
Desired Ending Direct Materials

Add
Less
:

Direct Materials Per Unit
Required Production Units
Desired Ending Finished Goods Unit
Direct Materials Purchases
Expected Unit Sales
Total Materials Required
Beginning Direct Materials
Total Required Units
Beginning Finished Goods Unit
Desired Ending Direct Materials

Total Required Units
Total Materials Required
Desired Ending Direct Materials
Required Production Units
Direct Materials Per Unit
Direct Materials Purchases
Expected Unit Sales
Desired Ending Finished Goods Unit
Beginning Finished Goods Unit
Beginning Direct Materials

LINK TO TEXT

Prepare a direct materials budget by quarters for the 6-month period ended June 30, 2017.

HARDIN COMPANY
Direct Materials Budget

For the Quarter Ending June 30, 2017
For the Six Months Ending June 30, 2017
June 30, 2017
Quarter
1
2
Six Months

Direct Labor Time Per Unit
Beginning Direct Materials
Units to be Produced
Total Direct Labor Cost
Cost Per Pound
Desired Ending Direct Materials
Total Materials Required
Direct Labor Cost Per Hour
Direct Materials Purchases
Direct Materials Per Unit
Total Required Direct Labor Hours
Total Cost of Direct Materials Purchases
Total Pounds Needed for Production

Desired Ending Direct Materials
Units to be Produced
Direct Materials Purchases
Total Materials Required
Cost Per Pound
Direct Materials Per Unit
Total Required Direct Labor Hours
Beginning Direct Materials
Direct Labor Time Per Unit
Total Cost of Direct Materials Purchases
Direct Labor Cost Per Hour
Total Direct Labor Cost
Total Pounds Needed for Production

Direct Materials Purchases
Direct Labor Cost Per Hour
Total Pounds Needed for Production
Cost Per Pound
Units to be Produced
Beginning Direct Materials
Direct Materials Per Unit
Direct Labor Time Per Unit
Total Direct Labor Cost
Total Cost of Direct Materials Purchases
Total Materials Required
Total Required Direct Labor Hours
Desired Ending Direct Materials

Add
Less
:

Beginning Direct Materials
Cost Per Pound
Total Direct Labor Cost
Direct Materials Purchases
Total Cost of Direct Materials Purchases
Direct Labor Cost Per Hour
Direct Materials Per Unit
Total Required Direct Labor Hours
Units to be Produced
Desired Ending Direct Materials
Total Materials Required
Total Pounds Needed for Production
Direct Labor Time Per Unit

Total Materials Required
Cost Per Pound
Total Pounds Needed for Production
Total Required Direct Labor Hours
Direct Labor Cost Per Hour
Direct Materials Purchases
Desired Ending Direct Materials
Direct Labor Time Per Unit
Direct Materials Per Unit
Units to be Produced
Beginning Direct Materials
Total Cost of Direct Materials Purchases
Total Direct Labor Cost

Add
Less
:

Direct Labor Time Per Unit
Units to be Produced
Total Materials Required
Direct Materials Purchases
Direct Materials Per Unit
Total Direct Labor Cost
Total Cost of Direct Materials Purchases
Total Pounds Needed for Production
Beginning Direct Materials
Total Required Direct Labor Hours
Cost Per Pound
Desired Ending Direct Materials
Direct Labor Cost Per Hour

Beginning Direct Materials
Total Pounds Needed for Production
Total Required Direct Labor Hours
Units to be Produced
Cost Per Pound
Total Materials Required
Desired Ending Direct Materials
Direct Labor Cost Per Hour
Direct Materials Purchases
Direct Materials Per Unit
Direct Labor Time Per Unit
Total Cost of Direct Materials Purchases
Total Direct Labor Cost

Beginning Direct Materials
Total Materials Required
Cost Per Pound
Direct Labor Time Per Unit
Direct Materials Purchases
Desired Ending Direct Materials
Direct Materials Per Unit
Direct Labor Cost Per Hour
Total Cost of Direct Materials Purchases
Total Direct Labor Cost
Total Pounds Needed for Production
Total Required Direct Labor Hours
Units to be Produced
$
$

Total Materials Required
Direct Materials Purchases
Direct Labor Cost Per Hour
Total Cost of Direct Materials Purchases
Desired Ending Direct Materials
Beginning Direct Materials
Total Direct Labor Cost
Direct Materials Per Unit
Total Pounds Needed for Production
Total Required Direct Labor Hours
Units to be Produced
Cost Per Pound
Direct Labor Time Per Unit
$
$
$

LINK TO TEXT

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SUBMIT ANSWER

Exercise 8-16

You are the vice president of finance of Swifty Corporation, a retail company that prepared two different schedules of gross margin for the first quarter ended March 31, 2020. These schedules appear below.

The computation of cost of goods sold in each schedule is based on the following data.

Linda Williams, the president of the corporation, cannot understand how two different gross margins can be computed from the same set of data. As the vice president of finance, you have explained to Ms. Williams that the two schedules are based on different assumptions concerning the flow of inventory costs, i.e., FIFO and LIFO. Schedules 1 and 2 were not necessarily prepared in this sequence of cost flow assumptions.

Prepare two separate schedules computing cost of goods sold and supporting schedules showing the composition of the ending inventory under both cost flow assumptions.

Listed in the accompanying data table are student evaluation ratings of courses and​ professors, where a rating of 5 is for​ "excellent." Assume that each sample is a simple random sample obtained from a population with a normal distribution. a. Use the 93 course evaluations to construct a 99% confidence interval estimate of the standard deviation of the population from which the sample was obtained. b. Repeat part​ (a) using the 93 professor evaluations. c. Compare the results from part​ (a) and part​ (b).

Course Eval   Prof Eval
4.1   4.5
4.7   4.3
3.5   3.9
4.1   4.5
4.5   4.7
4.4   4.3
3.7   4.3
3.7   3.6
4.9   4.7
3.7   3.9
3.2   3.5
3.7   4.1
4.0   4.2
3.1   3.6
2.7   2.8
4.2   4.6
3.8   4.2
3.7   4.2
4.2   5.2
3.3   3.3
3.5   3.8
3.2   3.2
4.2   4.2
4.5   4.8
4.3   4.1
4.7   4.9
4.5   4.7
4.2   4.3
3.5   3.9
4.4   4.6
2.0   2.0
3.5   4.6
4.5   5.0
3.9   4.2
4.1   4.3
4.3   4.2
3.7   3.7
3.6   3.7
3.8   4.1
4.8   4.8
3.6   3.0
5.0   4.3
3.5   3.3
4.1   4.0
4.5   4.2
4.6   5.2
3.7   3.7
3.5   3.9
4.2   4.5
4.0   4.5
4.6   4.5
4.3   4.1
4.5   5.0
3.9   3.9
3.3   3.3
3.7   4.1
3.9   4.0
4.2   3.8
3.1   4.0
3.1   3.4
4.2   4.0
4.5   4.6
3.6   3.5
3.6   3.9
4.3   4.2
3.7   3.6
4.1   4.2
2.0   2.2
3.2   2.9
4.1   4.4
3.8   3.4
4.7   4.9
3.7   4.1
3.7   3.9
3.5   3.8
4.4   4.7
3.9   4.8
4.2   4.6
4.3   4.2
4.6   5.1
3.6   3.5
3.5   3.0
3.7   4.2
5.0   4.6
5.1   4.9
4.2   4.6
3.5   3.3
3.1   3.2
3.6   3.4
3.9   3.9
4.0   3.9
4.4   4.6
3.1   3.8

LAB QUESTION

A rotating cylindrical rod of mass m=4 Kg and length l=1 meter is connected to a falling weight of 300 grams with a 2 meters string (Maximum distance covered by the falling weight). The distance from the wound string to the axis of rotation is 300 mm. The time taken by the falling weight to halfway is 2 seconds and to the bottom is 3.7 seconds.

Change of angular momentum in the spinning rod

1. Calculate the angular momentum of the rod at both the points (halfway and bottom).
2. Explain the difference in the angular momentum at two points.

The authors of a paper studied characters who were depicted smoking in movies released between a certain range of years. The smoking characters were classified according to sex and whether the character type was positive, negative, or neutral. The resulting data are given in the table. Assume that this sample is representative of smoking movie characters. Do these data provide evidence of an association between sex and character type for movie characters who smoke? Use α = 0.05.

State the appropriate null and alternative hypotheses.

H₀: The proportions falling into the character type categories are not the same for the two sexes.
H_a: The proportions falling into the character type categories are the same for the two sexes.

H₀: There is no association between sex and character type.
H_a: There is an association between sex and character type.

H₀: The proportions falling into the character type categories are the same for the two sexes.
H_a: The proportions falling into the character type categories are not the same for the two sexes.

H₀: There is an association between sex and character type.
H_a: There is no association between sex and character type.

Find the test statistic and P-value. (Use technology. Round your test statistic to three decimal places and your P-value to four decimal places.)

X²=

P-value=

State the conclusion in the problem context.

Fail to reject H₀. There is not convincing evidence to conclude that there is an association between sex and character type for movie characters who smoke.

Fail to reject H₀. There is not convincing evidence to conclude that the proportions falling into the character type categories are not the same for the two sexes.

Reject H₀. There is convincing evidence to conclude that there is an association between sex and character type for movie characters who smoke.

Reject H₀. There is convincing evidence to conclude that the proportions falling into the character type categories are not the same for the two sexes.

Jaka Sdn Bhd., manufactures and sells concrete blocks for residential and commercial building. Jaka expects the following sales unit, price per unit and desired ending inventory for year 2021.

Inventories for both 1^st January 2021 and 1^st January 2022 are expected to be 100,000 blocks.

The raw materials and direct labour required for each concrete block are as follows:

Jaka’s policy is to have 5 million kg of raw materials in ending inventory for the third and fourth quarters and 8 million kg of the materials in ending inventory for the first and second quarters.

Required:

Prepare the following budgets for the year 2021: -

1. Sales budget. Show total sales by quarter and in total for the year.                                    

2. Production budget. Show total production unit by quarter and in total for the year.   

3. Direct material usage and purchase budget.

4. Direct labour budget.