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STALIN [3.7K]
3 years ago
10

The amount of material used in making a custom sail for a sailboat is normally distributed with a standard deviation of 64 squar

e feet. For a random sample of 15 sails, the mean amount of material used is 912 square feet. Which of the following represents a 99% confidence interval for the population mean amount of material used in a custom sail?A. 912 ± 49.2B. 912 ± 46.8C. 912 ± 42.6D. 912 ± 44.3
Business
1 answer:
Advocard [28]3 years ago
8 0

Answer:

option (B) 912 ± 42.6

Explanation:

Data provided in the question:

Standard deviation = 64 square feet

Sample size, n = 15

Mean = 912

Confidence level = 99%

Now,

Confidence interval = Mean ± z[s ÷ √n]

here,

z = 2.58 for 99% confidence level

Thus,

Confidence interval = 912 ± 2.58[64 ÷ √15]

or

Confidence interval = 912 ± 2.58[64 ÷ √15]

or

Confidence interval =  912 ± [ 2.58 × 16.525 ]

or

Confidence interval =  912 ± 42.63

= 912 ± 42.6

Hence,

The answer is option (B) 912 ± 42.6

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Answer:

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2 years ago
Suppose a monopolist's costs and revenues are as follows: ATC = $50.00; MC = $35.00; MR = $45.00; P = $55.00. The firm should
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Answer:

The firm should increase output and reduce price

Explanation:

For a monopolist, there can be one of the following three scenarios at a time point in time:

Scenario one, MR = MC: For a monopolist, profit is maximized at the point where marginal revenue (MR) is equal to to marginal cost (MC), i.e. where MR = MC.

Scenario two, MR < MC: But when the MR < MC, it indicates that the monopolist is currently producing a higher quantity of output and it is not maximizing profit. In order to maximize profit, the monopolist has to reduce output until MR = MC.

Scenario three , MR > MC: But when the MR > MC, it indicates that the monopolist is currently producing a lower quantity of output and it is not maximizing profit. In order to maximize profit, the monopolist has to increase output until MR = MC. Also, the monopolist has to reduce price in order to sell the increased quantity of output.

From the question, the monopolist falls into scenerio three as MR > MC, i.e. $45 > $35. Therefore, the monopolist should increase output until MR = MC and reduce price in order to maximize profit.

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2 years ago
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Answer:

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Explanation:

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Collection of written off accounts 800

Total P2,300

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3 years ago
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