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Sliva [168]
3 years ago
9

Jessica Salas, president of Salas Products, is reviewing the warranty policy for her company's new model of automobile batteries

. Life tests performed on a sample of 100 batteries indicated: (1) an average life of 75 months, (2) a standard deviation of 5 months, and (3) battery life is approximately normally distributed. Approximately 95% of the batteries will last between:______
a. 70 and 80 months
b. 60 and 90 months
c. 65 and 85 months
d. 55 and 95 months
Business
1 answer:
frez [133]3 years ago
3 0

Answer:

c. 65 and 85 months

Explanation:

Life tests performed on a sample of 100 batteries indicated:

(1) an average life of 75 months,

(2) a standard deviation of 5 months, and

(3) battery life is approximately normally distributed.

We create a 95% CI around mean.

If 95% is in the middle, then 5% is in the ends, 2.5% in each end.

Z score at .025 is -1.96, z score at .975 is +1.96

To convert z to battery life:

Z*sd + mean = battery life

-1.96*5 + 75 = 65.2, rounds to 65

+1.96*5 + 75 = 84.8, rounds to 85

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6 0
3 years ago
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Art is a self-employed installer of home entertainment systems, and he drives his car frequently to installation locations. Art
kap26 [50]

Answer:

Explanation:

The expenses that Ryan can deduct for the business trips he had is calculated by summing up the expenses he had with regards to gasoline and the depreciation.

Cost of gasoline = (3,760 miles)($1,590/18,800 miles) = $318

Cost of depreciation = $4,800

Adding the costs will give us an answer of $5118.

Answer: $5,118

3 0
3 years ago
A Quality Analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that
ZanzabumX [31]

On Monday and Tuesday, the process appears to be out of control.                                                                                                                                                

<u>Explanation</u>:

  • There are five days Monday, Tuesday,Wednesday, Thursday and Friday. Monday and Tuesday have weight up to 21. Wednesday weights up to 21.
  • Thursday and Friday weigh up to 20. Except for Monday and Tuesday, all the days have packaged up to the value of  21. So Monday and Tuesday are the days that appear to be out of control.
  • On checking the package for each day he came to know that Monday and Tuesday have process out of control.

       

                                                                                         

7 0
2 years ago
A coupon bond that pays interest semiannually has a par value of $1,000, matures in 8 years, and has a yield to maturity of 6%.
vitfil [10]

Answer:

b. 1,062.81

Explanation:

the key to answer this question is to remember that valuation of a bond depends basically of calculating the present value of a series of cash flows, so let´s think about a bond as if you were a lender so you will get interest by the money you lend (coupon) and at the end of n years you will get back the money you lend at the beginnin (principal), so applying math we have the bond value given by:

price=\frac{principal*coupon}{(1+i)^{1} }+ \frac{principal*coupon}{(1+i)^{2} } \frac{principal*coupon}{(1+i)^{3} }+...+\frac{principal+principal*coupon}{(1+i)^{n} }

where: principal as said before is the value lended, coupon is the rate of interest paid, i is the interest rate and n is the number of periods

so applying to this particular exercise, as it is not said we will assume that 6% and 7% are interest rate convertible seminually, so the price of the bond will be:

price=\frac{1,000*\frac{0.07}{2} }{(1+\frac{0.06}{2}) ^{1} } +\frac{1,000*\frac{0.07}{2} }{(1+\frac{0.06}{2}) ^{2} }+\frac{1,000*\frac{0.07}{2} }{(1+\frac{0.06}{2}) ^{3} }+...+\frac{1,000*\frac{0.07}{2} }{(1+\frac{0.06}{2}) ^{15} }+\frac{1,000+1,000*\frac{0.07}{2} }{(1+\frac{0.06}{2}) ^{16} }

price=1,062.81

take into account that here we are asked about semianually payments, so in 8 years there are 16 semesters.

6 0
3 years ago
You deposit $100 on a bank 10% interest rate account for one year. How much do you get in one year time?
katen-ka-za [31]

Answer:

$10

Explanation:

10% of 100 is 10. 100÷10=10

8 0
2 years ago
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