The Centers for Disease Control and Prevention (CDC) defines a healthy sleep duration
to be at least seven hours per day. The CDC reports that the percentage of people who
report a healthy sleep duration varies by marital status. The CDC also reports that in
2018, 67% of those who are married report a healthy sleep duration; 62% of those who
have never been married report a healthy sleep duration; and 56% of those who are
divorced, widowed, or separated report a healthy sleep duration. The file Sleep Habits
contains sample data on the sleeping habits of people who have never been married
that are consistent with the CDC's findings. Use these data to answer the following
questions. Click on the datafile logo to reference the data,
DATA file
a. Develop a point estimate and a 95% confidence interval for the proportion of those
who have never been married who report a healthy sleep duration,
Point estimate
(to 4 decimals)
to
Confidence interval
(to 4 decimals)
4
b. Develop a point estimate and a 95% confidence interval for the mean number of
hours of sleep for those who have never been married.
(to 4 decimals)
Point estimate
to
Confidence interval
(to 4 decimals)
c. For those who have never been married, estimate the number of hours of sleep per
day for those who report a healthy sleep duration (to 4 decimals).

Answers

Answer 1

a. The point estimate of the married people that sleep well is = 0.6299. The confidence interval for the mean hours of sleep for those that have never been married but report good sleep is 0.6186, 0.6412

b. The point estimate of the number of hours for people that have never been married = 7.2257

95% confidence interval for the mean number of  hours of sleep for those who have never been married = 7.2065, 7.2447

c. the estimated number of sleep for those that have never been married = 7.729 hours

a. The point estimate

[tex]P=\frac{Xp}{n}[/tex]

[tex]Xp = successes\\n = sample size\\[/tex]

Those who have never been married n = 7044

Xp = those who sleep for 7 hours at least

To get Xp, the excel function

Countif(range, criteria)

Countif(A:A, >=7)

This gives Xp = 4437

Point estimate =

[tex]\frac{4477}{7044}[/tex]

= 0.6299

The point estimate of the married people that sleep well is = 0.6299

At 95% interval of confidence,

α = 1-0.95 = 0.05

α/2 = 0.05/2 = 0.025

Z0.025 = 1.96 ( Use the standard probability normal table)

Margin of Error

=[tex]M.E = 1.96\sqrt \frac{0.6299(1-0.6299)}{7044} \\\\= 1.96\sqrt{0.000033} \\\\1.96*0.0057[/tex]

= 0.0113

The 95% confidence interval

= 0.6299 - 0.0113 , 0.6299 + 0.0113

= 0.6186, 0.6412

The confidence interval for the mean hours of sleep for those that have never been married is 0.6186, 0.6412

b. Sample mean

x = ∑x/n

x = number of sleep of the never been married

Mean is calculated using excel function

Average(range)

Average(a:a)

This gives the sample mean = 7.2257

The point estimate of the number of hours for people that have never been married = 7.2257

Standard deviation using excel =

Stdev(A:A) = 0.8211

[tex]Margin of error =1.96*\frac{0.8211}{\sqrt{7044} }[/tex]

= 0.0192

The confidence interval =

= 7.2257-0.0192, 7.2257+0.0192

= 7.2065, 7.2447

95% confidence interval for the mean number of  hours of sleep for those who have never been married = 7.2065, 7.2447

c. From the available data, the mean number of sleep per day that is gotten from the 4437 people that are unmarried and sleep healthily for at least 7 hours = 34295.1

Mean = 34295.1/4437

= 7.729

the estimated number of sleep for those that have never been married = 7.729 hours

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Based on the information given if all the expenses are adequately substantiated. The amount that Stork can deduct for this event is $3,350.

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Total Entertainment expense $6,700

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($6,700×.50)

Inconclusion the amount that Stork can deduct for this event is $3,350.

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Answers

Explanation:

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b
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c
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d
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Answer:

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Answer:

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Explanation:

Kiwi Airlines has fixed operating costs of $5.8 million, and its variable costs amount to 20 percent of sales revenue. The firm has $2 million in bonds outstanding with a coupon interest rate of 8 percent. Revenues for the firm are $8 million and the firm is in the 40 percent corporate income tax bracket. What is the firm's degree of financial leverage

Answers

Kiwi Airlines' degree of financial leverage is 1.36.

Data and Calculations:

Fixed operating costs = $5.8 million

Revenue = $8 million

Variable costs = 20% of sales = $1.6 million ($8 x 20%)

Earnings before interest and taxes = $600,000 ($8 - $5.8 - $1.6 million)

Bonds outstanding = $2 million

Coupon interest rate = 8%

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Earnings before taxes = $440,000 ($600,000 - $160,000)

Corporate income tax = 40%

Income Tax Expense = $176,000 ($440,000 x 40%)

Net Income = $264,000 ($440,000 - $176,000)

Degree of financial leverage = earnings before interest and taxes/earnings before taxes

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Thus, Kiwi Airlines' degree of financial leverage is 1.36.

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3. Radio Flyer tries to get toy stores to order snow sleds and saucers in May by temporarily lowering the retailer's cost for its outdoor snow toy line.
4. Costco can purchase up to 1000 pallets of water from the manufacturer for $300 per pallet, but the costs drops to $275 per pallet for orders of 1001 or more pollets.
5. To get bills for its storage products paid quickly, Rubbermaid offers a 1% discount on bills that are paid in full within 10 days.
6. Pepsi offers a grocery store a reduction in the pallet price of Pepsi products in exchange for the store setting up a large football- themed display at the front of the store.
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Answers

The types of discounts and their examples are displayed below:

Discount Category   Example

Cash                           1. Chiquita's 3% discount for payment within 7 days.

Seasonal                    2. Hershey's offers of a low price for orders placed

                                       before June.

Seasonal                    3. Radio Flyer's lowered retailer's costs to encourage

                                      toy stores to order in May.

Quantity                    4. Reduced cost per pallet for orders above 1,000

                                      pallets.

Cash                          5. Rubbermaid's offer of 1% discount on bills paid

                                      within 10 days.

Trade                        6. Pepsi's offer to a grocery store of reduced pallet

                                     price in exchange of a large football-themed display.

Quantity                   7. Buying eight-pack Bars for $8.49 instead of a four-

                                     pack Bars for $5.49.

Trade                       8. Haggar's offer of reduced cost in exchange for

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