Assume the weights of 10 year old children are normally distributed with a mean of 90 pounds and a variance of 36.

a. What is the standard deviation of the sampling mean for a sample of size 100?

b. What is the 95% confidence interval for this distribution?

c. What is the 99% confidence interval for this distribution?

A random sample of 225 statistics tutoring sessions was selected and the number of students absent at each session was recorded. The mean was 11.6 and the standard deviation was 4.1. Estimate the number of absences per session. (Remember: What CL do we default to when not specified?)

DataSpan, Inc., automated its plant at the start of the current year and installed a flexible manufacturing system. The company is also evaluating its suppliers and moving toward Lean Production. Many adjustment problems have been encountered, including problems relating to performance measurement. After much study, the company has decided to use the performance measures below, and it has gathered data relating to these measures for the first four months of operations.

Management has asked for your help in computing throughput time, delivery cycle time, and MCE. The following average times have been logged over the last four months:

Required:

1-a. Compute the throughput time for each month. (Round your answers to 1 decimal place.)

1-b. Compute the manufacturing cycle efficiency (MCE) for each month. (Round your answers to 1 decimal place.)

1-c. Compute the delivery cycle time for each month. (Round your answers to 1 decimal place.)

3-a. Refer to the move time, process time, and so forth, given for month 4. Assume that in month 5 the move time, process time, and so forth, are the same as in month 4, except that through the use of Lean Production the company is able to completely eliminate the queue time during production. Compute the new throughput time and MCE. (Round your answers to 1 decimal place.)

3-b. Refer to the move time, process time, and so forth, given for month 4. Assume in month 6 that the move time, process time, and so forth, are again the same as in month 4, except that the company is able to completely eliminate both the queue time during production and the inspection time. Compute the new throughput time and MCE. (Round your answers to 1 decimal place.)

the cost for a four year project is 1,400,000. The respective cash inflows for years 1,2,3,and 4 are 600,000 , 700,000 , 500,000 , and 200,000. What is the discounted payback period if the discount rate is 6%.

No financial calculator work by hand step by step.   

One​ year, the mean age of an inmate on death row was 39.3 years. A sociologist wondered whether the mean age of a​ death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 38.7​, with a standard deviation of 9.5. Construct a​ 95% confidence interval about the mean age. What does the interval​ imply?

Choose the correct hypotheses.

H0​:

muμ

x overbarx

sigmaσ

pp

▼

not equals≠

less than<

equals=

greater than>

________​(Type integers or decimals. Do not​ round.)

H1​:

▼

pp

sigmaσ

muμ

x overbarx

▼

equals=

less than<

not equals≠

greater than>

_____​(Type integers or decimals. Do not​ round.)

Construct a​ 95% confidence interval about the mean age. With​ 95% confidence, the mean age of a death row inmate is between__ years and ___nothing years. ​(Round to two decimal places as​ needed.)

What does the interval​ imply?

A.Since the mean age from the earlier year is not contained in the​ interval, there is not sufficient evidence to conclude that the mean age had changed.

B.Since the mean age from the earlier year is contained in the​ interval, there is not sufficient evidence to conclude that the mean age had changed.

C.Since the mean age from the earlier year is contained in the​ interval, there is sufficient evidence to conclude that the mean age had changed.

D.Since the mean age from the earlier year is not contained in the​ interval, there is sufficient evidence to conclude that the mean age had changed.

The free cash flow for the last year is $361M. The expected growth rate is 8% for the next three years and 2.5% after that. If WACC is 10%, estimate the value of this firm.

• A. $3,821M.
• B. $5,714M.
• C. $6,063M.
• D. $7,454M.

Cullumber Cosmetics Inc. had a number of transactions during the year relating to the purchase of various inventory items as noted below.

For each of the below independent transactions determine what amount should be included in inventory.

Lipstick products counted in the physical inventory amount to $23,700 which include $1,400 of duty charges for importing the goods and $2,300 of recoverable taxes (i.e. HST). (If an answer is zero, please enter 0. Do not leave any fields blank.)

Makeup kits held on consignment by a retailer with a cost of $12,000 (inclusive of $1,200 of commissions to the retailer). (If an answer is zero, please enter 0. Do not leave any fields blank.)

Costs of $4,600 to store makeup products in Cullumber Cosmetic’s warehouse. (If an answer is zero, please enter 0. Do not leave any fields blank.)

If 38,300 dollars is invested at an interest rate of 7 percent per year, find the interest earned for the investment at the end of 5 years for the following compounding methods.
(a) Annual:
  
(b) Semiannual:

(c) Monthly:

(d) Daily:

in its first year of business, atc company purchased land, a building, and a equipment on november 20 2016 for november 700000 in total. The land was valued 338000 and building at 262000 and the equipment at 150000. Additional information on the depreicable asset follows:

Assest Residual Value Useful life in years Depriciation Method

Building 15,000 60months residual value Straight line

Equipment 15,000 8months residual value Double diminishing balance

Instructions:

a. Allocate the purchase cost of the land, building and equipment to each of the asset,

b. atc has a december 31 fiscal year and is trying to decide how to calculate depriciation for asset purchased during the year. Calculate the depreication expense for the building and equipment for 2016 and 207 assuming

1. depreciation is calculated to the nearest month

2. a half year depriciation is recorded in the year of the acquisition

c. Which policy should atc follow in the year of acquisition recordsing depriciation to the nearest month or revcording half year of depricitaiom of the depriciation.