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neonofarm [45]
2 years ago
15

If the true mean is .9350 with a standard deviation of 0.0090, within what interval will 90 percent of the sample means fall? (r

ound your answers to 4 decimal places.)
Business
1 answer:
Tpy6a [65]2 years ago
4 0

μ = 183, σ = 20, n = 50. (Round your answers to 2 decimal places.)If the true mean is .9350 with a standard deviation of 0.0090

<h3>What is standard deviation?</h3>

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.

The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation. Standard deviation may be written as SD.

A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

To learn more about standard deviation from the given link:

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"Direct Method" is the right answer.

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Juicy Beauty manufactures and sells a face cream to small specialty stores in the greater Los Angeles area. It presents the mont
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Answer: Please see explanation column for answer

Explanation:

Recasting  the income statement to emphasize contribution margin.

Juicy Beauty Operating Income Statement, June 2017

Units sold                                                            20,000

Revenues                                                         $200,000

Variable costs(subtract):

Variable manufacturing costs    $110,000

Variable marketing costs             $10,000

Total variable costs                                                 $120,000  

Contribution margin                                                   $80,000

Fixed costs

fixed manufacturing costs                         40,000

Fixed marketing and administrative costs 20,000

Total fixed cost                                                                $60,000

Operating income                                                           $20,000

Working  for income statement above =

Contribution margin = Revenue -Total  variable cost =$200,000- ($110,000 + $10,000) - $80,000

Operating income= Contribution margin - Total fixed cost = $80,000 - $($40,000 +$20,000) -=$20,000

2  The contribution margin percentage and breakeven point in units and revenues for June 2017.

Contribution margin percentage = ,Contribution margin/ Revenue x 100%

= $80,000/ $200,000 x 100= 40 %

Contribution margin per unit = ,Contribution margin/ units sold

                                                   80,000 / 20,000= $4 per unit

Break  even point units  = Total fixed cost/ ,Contribution margin per unit

 = $60,000/ $4=  15,000units

Break even revenue=

we first calculate the selling price = Revenue / units sold = $200,000/ 20,000 =$10

Break even revenue=Break even units x per unit sold = $15,000 x $10 = $150,000.

3. Margin of safety = units sold - break even point unit

20,000 - 15,000 =5000 units

4. If the sales is 16,000 and tax is 30% , Net income is

Units sold                     16,000

Revenue                     $160,000

Contribution margin    $64,000

Total fixed cost           - $60,000

Operation income       $4,000

tax at 30 %                  - $ 1200

Net income                 $2,800

working

Revenue = units sold x sale per unit = 16,000 x $10 = $160,000

Contribution margin = Revenue x contribution margin percentage = $160,000 x 40% = $64,000

Operation income = contribution margin - fixed costs= $64,000 - $60,000 = $4000

Tax = 30% of 4000 = $1200

Net income = $4000 - $1200 = $2,800

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