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bogdanovich [222]
3 years ago
14

Suppose the manager agrees to pay each employee a​ $50 bonus if they meet a certain goal. on a typical​ saturday, the​ oil-chang

e facility will perform 35 oil changes between 10
a.m. and 12 p.m. treating this as a random​ sample, at what mean​ oil-change time would there be a​ 10% chance of being at or​ below? this will be the goal established by the manager.

Business
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

Answer:

Incomplete question

First aspect of the question is typed below.

The shape of the distribution of the time required to get an oil change at a 20-minute oil-change facility

is unknown. However, records indicate that the mean time is 2l.2-minutes, and the standard deviation 3.5 minutes.

Explanation:

Employees bonus $50

35 oil changes between 10:00 am to 12:00pm

n = 35

10% changes

So, the z - score can be calculated using

z-score = InvNorm(0.10)

z-score = -1.28

So, given that,

Standard deviation is 3.5minutes

σ = 3.5 minutes

Mean time is 21.2 minutes

μx = 21.2 minutes

Then,

σx = σ / √n

σx = 3.5 / √35

σx = 0.5916 minutes

Then, Z score can be written as

Z = (x - μx) / σx

-1.28 =  (x - 21.2) / 0.5916

Cross multiply

-1.28 × 0.5916 = x - 21.2

-0.7573 = x - 21.2

x = 21.2 - 0.7573

x = 20.443 minutes

There is a 10% chance of being at or below a mean oil-change time of 20.44 minutes

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In 2019, Wesley has a fairly simple tax situation with moderate wage income and a modest amount of interest income. Wesley, age
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Grady received $8,200 of Social Security benefits this year. Grady also reported salary and interest income this year.What amoun
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Solution:

a. [$0]

Grady eliminates a limit of $8,200, because the value of his adjusted AGI plus 50 percent of his social security compensation ($12,100 + $250 + $4,100= $16,450), falls below the required level, including social security benefits, of ($25,000 or less for single taxpayers).

b. [$850]

Grady is single with his adjusted AGI plus 50% of his social security income is 25,000 dollars to up to 34,000 dollars (600 dollars with 50% of Social Security benefits). Its social security payments are less than (a) 50 percent ($8,200 or 50 percent= $4,100) or (b) 50 percent ($22,600 adjusted AGI+ $4,100 + − $25,000)= $850), respectively. His social security benefits are therefore taxable at $850.

c. [$6,970]

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d. [$6,970]

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e. [$6,970]

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