Business College

A Quality Analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is under control, package weight is normally distributed with a mean of twenty ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each:

Day Weight (ounces)
Monday 23 22 23 24
Tuesday 23 21 19 21
Wednesday 20 19 20 21
Thursday 18 19 20 19
Friday 18 20 22 20

What are the upper and lower control limits for these data?

a. UCL = 22.644 LCL = 18.556
b. UCL = 22.700 LCL = 18.500
c. UCL = 22.755 LCL = 18.642
d. UCL = 21.814 LCL = 19.300

Answers

Answer 1

Answer:

a. UCL = 22.664 LCL = 18.556

Explanation:

The sample mean for the given data is :

( 23 + 20 + 19 + 20 + 21 ) / 5 = 20.6

Upper control limit is :

Sample mean + standard deviation

20.6 + 2 = 22.6

Lower Control Limit is :

Sample mean - Standard Deviation

20.6 - 2 = 18.6

Related Questions

Lens Junction sells lenses for $44 each and is estimating sales of 16,000 units in January and 17,000 in February. Each lens consists of 2 pounds of silicon costing $2.50 per pound, 3 oz of solution costing $3 per ounce, and 15 minutes of direct labor at a labor rate of $18 per hour. Desired inventory levels are: Jan. 31 Feb. 28 Mar. 31 Beginning inventory Finished goods 4,300 4,800 4,900 Direct materials: silicon 8,300 9,200 9,000 Direct materials: solution 11,000 12,200 12,900

Answers

Complete Question:

1. Prepare a sales budget. Lens Junction Sales Budget For the Two Months Ending February 28, 20XX January February Expected Sales (Units) Sales Price per Unit Total Sales Revenue Total

2. Prepare a production budget. Lens Junction Production Budget For the Two Months Ending February 28, 20XX January February Expected Sales Total Required Units Required Production Total

3. Prepare direct materials budget for silicon. Lens Junction For the Two Months Ending Fabrant Materials, Purinat for Silinn February Expected Sales Total Required Units Required Production Total

4.Prepare direct materials budget for silicon.

Answer:

Lens Junction

1. Lens Junction Sales Budget For the Two Months Ending February 28, 20XX

January February

Expected Sales (Units) 16,000 17,000

Sales Price per Unit $44 $44

Total Sales Revenue $704,000 $748,000

2. Lens Junction Production Budget For the Two Months Ending February 28, 20XX

January February

Expected Sales Total 16,000 17,000

Ending Inventory 4,800 4,900

Required Units 20,800 21,900

Beginning Inventory 4,300 4,800

Required Production Total 16,500 17,100

3 & 4. Lens Junction Direct Materials Budget For the Two Months Ending February

January February

Silicon Solution Silicon Solution

Expected Sales 32,000 48,000 34,000 51,000

Ending inventory 9,200 9,000 12,200 12,900

Total Required 41,200 57,000 46,200 63,900

Beginning inventory 8,300 11,000 9,200 12,200

Units Required 32,900 46,000 37,000 51,700

Explanation:

a) Data and Calculations:

Sales price of lenses per unit = $44

Estimated sales of lenses in January and February respectively = 16,000 and 17,000

Direct materials for each lense:

2 pounds of silicon at $2.50 per pound = $5.00

3 oz of solution at $3.00 per ounce = $9.00

Total cost of direct materials per unit = $14

15 minutes direct labor at $18 per hour = $4.50

Desired inventory levels:

Beginning inventory of finished goods:

January 4,300

February 4,800

March 4,900

Beginning inventory of direct materials:

Silicon Solution

January 8,300 11,000

February 9,200 12,200

March 9,000 12,900

Straight-Line Depreciation A building acquired at the beginning of the year at a cost of $2,200,000 has an estimated residual value of $400,000 and an estimated useful life of 20 years. Determine the following: (a) The depreciable cost $fill in the blank 1 (b) The straight-line rate fill in the blank 2 % (c) The annual straight-line depreciation $fill in the blank 3

Answers

Answer:

Depreciable Cost = $ 1800000

Straight Line Depreciation Rate = 5%

Depreciation expense per year = $90000

Explanation:

The depreciable cost is the cost that qualifies for depreciation. It is calculated as,

Depreciable Cost = Cost - Salvage Value

Depreciable Cost = 2200000 - 400000

Depreciable Cost = $ 1800000

The straight line depreciation method charges a constant depreciation expense every period. The rate of straight line depreciation can be calculated as follows,

Straight Line Depreciation Rate = Depreciable cost percentage / Estimated useful life

Straight Line Depreciation Rate = 100% / 20

Straight Line Depreciation Rate = 5%

The annual straight line depreciation expense can be calculated as follows,

Depreciation expense per year = Depreciable cost * Straight line depreciation rate

Depreciation expense per year = 1800000 * 0.05

Depreciation expense per year = $90000

Other Questions

How could a change in the DNA sequence of a single gene affect an organism?The organism would likely no longer be able to produce offspring.The gene could code for carbohydrates instead of proteins.The function of a protein encoded by the gene could change.DNA could change into RNA.Previous Read this outline for an informative essay about the role of the Food and Drug Administration.I. The Food and Drug Administration (FDA) educates the public about food.A. The information the FDA provides helps consumers stay safe.B. The FDA educates consumers in different ways.II. The FDA labels processed foods.A. FDA labels identify the ingredients used to make products.B. FDA labels explain the nutrition content of food.C. FDA labels explain if the product might harm people who have allergies.III. The FDA warns the public about harmful food.A. The FDA issues a warning when a foodborne illness breaks out.B. The FDA tells consumers which foods to avoid.C. The FDA tells consumers what to do if they get sick.IV. The American public relies on the information the FDA provides.A. The FDA labels food and issues warnings about foodborne illnesses.B. This information helps protect consumers from harmful food.Which section of the outline is the introduction?section Isection IIsection IIIsection IV Several students in Ashtons class were randomly selected and asked how many text messages they sent yesterday. Their answers were 1, 0, 10, 7, 13, 2, 9, 15, 0, 3.Find the range for these data. What are two most familiar ways to become a citizen of the United States? Evaluate the indicated limit algebraically. Change the form of the function where necessary. Please write clearly with description of each step, thank you very much.3x^2+4.5________x^2-1.5limx Illustrate the effects of each of the transactions on the accounts and financial statements of Snipes Company. June 8. Snipes Company sold merchandise on account to Beejoy Company, $18,250, terms FOB destination, 2/15, n/eom. The cost of the merchandise sold was $10,000. Snipes Company paid transportation costs of $400 for delivery of the merchandise. NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below: Describe how the holding in Nebraska Press Association v Stuart could potentially impact the rights of the accused in future criminal cases Need help with this question asap please please please with this problem I'm not sure what to put.............. Marigold Corp. issued at a premium of $10500 a $192000 bond issue convertible into 4700 shares of common stock (par value $20). At the time of the conversion, the unamortized premium is $4000, the market value of the bonds is $212000, and the stock is quoted on the market at $60 per share. If the bonds are converted into common, what is the amount of paid-in capital in excess of par to be recorded on the conversion of the bonds If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simpleinterest will she have to pay on the loan?A.$2,750.00B.$19,250.00C.$24,750.00D.$275,000.00 help. i need help ::>- Please answer correctly without links and download files.Read the sentence containing a pronoun shift error.When my dad was a kid, you played outside until the street lights came on.Which sentence corrects the error?(A) When my dad was a kid, he played outside until the street lights came on.(B) When my dad was a kid, I played outside until the street lights came on.(C) When my dad was a kid, we played outside until the street lights came on.(D) When my dad was a kid, they played outside until the street lights came on. What best prepares you for the SAT?A. PSATB. PLANC. EXPLORED. ACT What do scholars disagree about when the first Americans arrived? PLEASE ANSWER ASAPWhich of the following statements accurately describe a chromosome? Select all that apply.a. Chromosomes contain one long DNA molecule that is tightly woundb. Every chromosome has many genes as each gene is one segment of DNAc. Every chromosome has one gene as an entire DNA makes up a gened. In any given organism, the gene(s) found on one chromosome can also be found on other chromosomes. All of the following are true statements EXCEPT: A. One way to provide all socioeconomic groups access to a facility is to situate the facility in a central location on a major public transportation route. B. It is acceptable to house a disaster-related program in a non-accessible building if no accessible buildings are readily available. C. The content of all public meetings must be available to individuals with hearing impairments. D. Providing information in alternative formats helps ensure that persons with disabilities can access the information. Find the value of X? El largo de una casa es el triple de su ancho. Si a la longitud se suma 40 metros y al ancho 1 metro, el rea se triplica