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Rudik [331]
3 years ago
11

Construct a 95% confidence interval for the population mean, μ. Assume the population has a normal distribution. A sample of 20

part-time workers had mean annual earnings of $3120 with a standard deviation of $677. Round to the nearest dollar.
Business
1 answer:
miv72 [106K]3 years ago
4 0

Answer: (2823, 3417)

Explanation:

The confidence interval for the population mean is given by :-

\mu\ \pm E, where E is the margin of error.

Formula for Margin of error :-

z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha=1-0.95=0.05

Sample size = 20

\mu=3120

\sigma=677

Critical value : z_{\alpha/2}=z_{0.025}=\pm1.96

Margin of error : E=1.96\times\dfrac{677}{\sqrt{20}}\approx 297

Now, the 95% confidence interval for the population mean will be :-

3120\ \pm\ 297 =(3120-297\ ,\ 3120+297)=(2823,\ 3417)

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John Williams, manager of Phoenix Entertainment, wants to compute the variable overhead efficiency variance for the year. He has
jenyasd209 [6]

Answer:

$10,125 Favorable

Actual quantity of the cost-allocation base used - Actual quantity of the cost-allocation base that should have been used to produce the actual output) × Budgeted variable overhead cost per unit of the cost-allocation base

Explanation:

Variable overhead spending variance = Actual Spending - budgeted Spending based on actual quantity

Variable overhead spending variance = (Actual Input x Actual rate) - ( Actual input x Budgeted rate)

Variable overhead spending variance = (10,125 x $29) - ( 10,125 x $30)

Variable overhead spending variance = $293,625 - $303,750

Variable overhead spending variance = $10,125 Favorable

Variable overhead spending variance is

Actual quantity of the cost-allocation base used - Actual quantity of the cost-allocation base that should have been used to produce the actual output) × Budgeted variable overhead cost per unit of the cost-allocation base

4 0
3 years ago
I need this right now.
mamaluj [8]

Answer:

Sorry cant help with this

Explanation:

4 0
2 years ago
Read 2 more answers
Dividends in arrears are dividends on A. cumulative preferred stock that have been declared but have not been paid. B. non-cumul
Romashka [77]

Answer:

The correct answer is letter "A": cumulative preferred stock that have been declared but have not been paid.

Explanation:

Dividends in arrears are dividends that have not been paid in a period on cumulative preferred stock. A company does not necessarily have to pay dividends to its shareholders but the payment becomes cumulative. Under this situation, it is said that the organization has failed to generate enough cash during the year. Besides, there must be a dividend declaration for the dividends in arrears to be liable recognized.

7 0
3 years ago
Seth is mentally incompetent but has not been adjudged by a court to be incompetent. Seth enters into a contract with Toby for t
Kaylis [27]

Answer:

Void

Explanation:

Void is the term of law, which is defined as the contract is not valid currently, and the parties of the contract are not held to its terms. The void contract is the one which is generally unenforceable.

The contract could be void because of many reasons like the contract need one party to perform that act which is impossible or in that case, where one party is not mentally incompetent.

So, in this case, the contract is most likely to be void as the contract with the party who is mentally incompetent, though the party has not been adjudged through court.

6 0
3 years ago
Restaurant A uses 60 bags of tomatoes each month. The tomatoes are purchased from a supplier for a price of $80 per bag and an o
ch4aika [34]

Answer:

Explanation:

D = 60 bags

cost = 80 / bag

s = 20 / order

h = 40% of cost

     0.4 * 80 / 100

h= 32 unit/year

D =  d * 12 months

D = 60 * 12

D = 720 bags / year

EOQ = \sqrt{2DS/H}

EOQ = \sqrt{2 *720*20/32}

EOQ = 30 bags

Total cost =  Total holding cost + total ordering cost

Total holding cost  = (Q/2 * H) = (30/2 * 32) = 480

Total ordering cost =  (D/Q * 20) = (720/30 *20) = 480

Total cost = 480 + 480 = 960

Total purchasing cost  = cost * D = 80 * 720 = 57.600

Percentage= total cost  / total purchasing cost  * 100

960 / 57.600 * 100

1.67 %

6 0
3 years ago
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