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WITCHER [35]
3 years ago
5

Task 1 . The income (in thousand $) of 5 small companies labeled AA , BB , CC , DD , EE has been calculated and the results are

as follo,;vs:
2.49j 2.39j 2.39, 1.79, 3.8 .
1. Put the obtained data as points on the following coordinate system.


Income value


3

2

1


AA BB CC DD EE Company

2. Calculate the mean value from the sample for these data:


On the chart draw a line y = x (a horizontal line at the level of the mean of the sample) and for every measurement mark the difference between the value of the measurement and the sample mean.
3. Calculate the samples variance, standard deviation and the estimator of variance:

Icr2 =_.!_ f=_(xi -

I• I

__ n i=l

x_) _= iT





4. Write proper values into the following tagged fields and interpret the results obtained:

CJ CJ
x - 20- x - a x+ a x+ 20-

Date of simulation : 2021 03 02 20:30:20.050 Seed: 20302 8071 .




8

Business
1 answer:
Georgia [21]3 years ago
7 0

Answer:

yggjuytygyvcfryttgggv

Explanation:

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Answer:

1)

If the manufacturer's assumptions are correct, it would need to replace 8.23% of its batteries free of charge.

Option a) 8.23% is the correct option

2)

the required standard deviation is 3.8

Option a) 3.8 is the correct answer

Explanation:

Given the data in the question;

mean μ = 44

standard deviation σ = 3.6

if a battery fails within 39 months of purchase, the manufacturer replaces the battery at no charge to the consumer. If the battery fails after 39 months but within 50 months

1)

If the manufacturer's assumptions are correct, it would need to replace_____ of its batteries free of charge

p( X < 39 ) = P( X-μ/σ < 39-μ/σ )

we substitute

= p( Z < ((39-44)/3.6 ))

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from standard normal table; p( Z < -1.39 ) = 0.08226 ≈ 0.0823

p( X < 39 ) = 0.0823 or 8.23%

Therefore, If the manufacturer's assumptions are correct, it would need to replace 8.23% of its batteries free of charge.

Option a) 8.23% is the correct option

2)

The company finds that it s replacing 9.34% of its batteries free of charge. It suspects that its assumption about the standard deviation of the life of its batteries is incorrect. A standard deviation of ______ results in a 9.34% replacement rate.

given that;

P( Z < x-μ/σ ) = 9.34%

⇒ P( Z < 39-44/σ ) = 0.0934 ----- let this be equation 1

now, from standard normal tables

∅( -1.32 ) = 0.0934   ---------- let this equation 2

so from equation 1 and 2

39-44/σ = -132

-5/σ = -1.32

σ  = -5 / - 1.32

σ  = 3.7879 ≈ 3.8

Therefore, the required standard deviation is 3.8

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Answer:

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Explanation:

Company net income will DECREASE by $2,000 if the order is accepted.

Additional order will produce additional sales revenue of $150 per unit

The marginal cost for this order = Variable costs (Direct material + Direct labour + variable cost) =$152 per unit

Since the marginal cost ($152) is more than the revenue ($150)per unit, there will be a loss of $2 per unit.

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