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Marina86 [1]
3 years ago
15

Suppose that a manager is interested in estimating the average amount of money customers spend in her store. After sampling 36 t

ransactions at random, she found that the average amount spent was $ 35.25 . She then computed a 95 % confidence interval to be between $ 31.84 and $ 38.66 .
1. Which statement gives a valid interpretation of the interval?
O The store manager is 95 % confident that the average amount spent by the 36 sampled customers is between $ 31.84 and $ 38.66 .
O There is a 95 % chance that the mean amount spent by all customers is between $ 31.84 and $ 38.66 .
O The store manager is 95 % confident that the average amount spent by all customers is between $ 31.84 and $ 38.66 .
O There is a 95 % chance that a randomly selected customer will spend between $ 31.84 and $ 38.66 .
Business
1 answer:
densk [106]3 years ago
4 0

Answer:

The store manager is 95% confident that the average amount spent by all customers is between $ 31.84 and $ 38.66.

Explanation:

In statistics, a confidence interval is the probability that the parameter of a population lies between two set of values when a random sample of the population is drawn for a specific percentage of times. This means that the confidence interval is formed about the whole population not the sample from which it is calculated.

The probabilities of a confidence interval can take any number, but 95% and 99% confidence level that are usually used.

It should be noted that, for example, 95% confidence level implies that there is a 95% chance that the true mean of the population lies within the calculated confidence interval.

Therefore, the statement which gives a valid interpretation of the interval in the question is the first one which states that "the store manager is 95% confident that the average amount spent by all customers is between $ 31.84 and $ 38.66."

I wish you the best.

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IgorC [24]

Answer:

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Dr Drafting equipment 70,000

    Cr Common stock 283,200

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Dr Land 56,000

    Cr Cash 9,800

    Cr Notes payable 46,200

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Dr Building 58,000

    Cr Cash 58,000

The company paid $4,200 cash for the premium on an 18-month insurance policy.

Dr Prepaid insurance 4,200

    Cr Cash 4,200

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Dr Cash 7,600

    Cr Engineering fees 7,600

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Dr Drafting equipment 34,000

    Cr Cash 10,400

    Cr Notes payable 23,600

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Dr Accounts receivable 16,000

    Cr Engineering fees 16,000

The company purchased $1,950 of additional office equipment on credit.

Dr Office equipment 1,950

    Cr Accounts payable 1,950

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Dr Accounts receivable 27,000

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Dr Dividends 9,880

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8 0
3 years ago
A marketing company wants to estimate the proportion of consumers in a certain region of the country who would react favorably t
Sindrei [870]

The closest to the minimum number of consumers needed to obtain the estimate with the desired precision is (b) 271

Explanation:

When the prior estimate of population proportion is not given , then the formula to find the sample size is given by :-

n=0.25(\frac{z^{*} }{E} )^{2}

where E = Margin of error.

z* = Critical z-value.

As per given , we have

E = 5%=0.05

Confidence level = 90%

The critical value of z at 90% is 1.645  (By z-table)

Put all values in the formula , we get

n=0.25(1.645/0.05)²

n=0.25(32.9)²

n=270.6025≈271

Thus, the minimum sample size needed = 271

Hence , the correct answer is 271 .

8 0
3 years ago
Two firms, A and B, each currently dump 50 tons of chemicals into the local river. The government has decided to reduce the poll
vitfil [10]

Answer:

d. Firm A will spend $4,000.

Explanation:

Since Firm B cost of Cleanup before it gets the the river is less than the cost of pollution permits, it will choose to clean up its pollution.

However, since Firm A cleanup cost per ton ($100) is greater than the cost of the pollution permit, it will choose to buy permits.

Maximum Allowable Number of Permits=40

Therefore, Firm A will clean up 10 Tons and dump 40 Tons of Waste.

Cost =(10 Tons *$100)+(40 Tons * $75)

=$(1000+3000)

=$4000.

Firm A will spend $4000.

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Answer and Explanation:

The Journal entry is shown below:-

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     To Paid in capital in excess of Par - Common Stock $28,250

(Being stock dividend is recorded)

Here we debited the stock dividend and we credited the Common Stock Dividend Distributable and Paid in capital in excess of Par - Common Stock

6 0
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