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Marina86 [1]
3 years ago
7

Suppose the data have a bell-shaped distribution with a mean of 25 and a standard deviation of 5. Use the empirical rule to dete

rmine the percentage of data within each of the following ranges.
(a) 15 to 35 approximately 68% approximately 95% almost all
(b) 10 to 40 approximately 68% approximately 95% almost all
(c) 20 to 30 approximately 68% approximately 95% almost all

Business
1 answer:
Zielflug [23.3K]3 years ago
3 0

Answer:

a) 15 to 35 approximately 95%

(b) 10 to 40 approximately almost all

(c) 20 to 30 approximately 68%

Explanation:

The data have a bell-shaped distribution which means the data is equally distributed on both sides of the mean.

We have the mean at 25 and a standard deviation of 5 which means that the interval is for each of the values of 5 .

The mean would be u and

The first value would be u ±σ = 25 ± 5= 20 and 30 (68 % )

The second value will be u ± 2σ= 25± 10 = 15 and 35 (95%)

The third value will be u ± 3σ= 25 ± 15 = 10 and 40 (99.7 % almost all)

In the figure below the light blue region gives u ±σ on both sides of the mean

, dark blue gives u ± 2σ values on both sides of the mean and grey gives

u ± 3 σ values on both sides of the mean.

It is obvious that 68 % of the data is contained in the u ±σ light blue region, 95 % of the data in the  u ± 2σ dark blue including light blue and 99.7 % in the u ± 3σ all colored regions.

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Delta Manufacturing has budgeted the following unit sales: 2019 Units April 25,000 May 40,000 June 60,000 July 45,000 Of the uni
Greeley [361]

Answer:

The budgeted sales for coastal division for second quarter 2019 is $750,000

The budgeted sales for central division for second quarter 2019 is $900,000

Explanation:

Coastal division sales budget for the second quarter 2019

Months         Quantity sold                            price              total revenue

April            25,000*40%=10,000                  $15                  $150,000

May             40,000*40%=16000                    $15                  $240,000

June            60,000*40%=24000                   $15                  $360,000

Total coastal division budgeted sales for second quarter    $750,000

Central division sales budget for the second quarter 2019

Months         Quantity sold                            price              total revenue

April            25,000*60%=15,000                     $12                  $180,000

May             40,000*60%=24,000                    $12                  $288,000

June            60,000*60%=36,000                    $12                  $432,000

Total coastal division budgeted sales for second quarter    $900,000

8 0
3 years ago
Read 2 more answers
On May 1, 2021, Meta Computer, Inc., enters into a contract to sell 4,100 units of Comfort Office Keyboard to one of its clients
Harrizon [31]

Answer:

Journal Entry

Explanation:

1. There are two obligations in this contract

a. keyboard

b. Customer option for future discount

2. Cash Dr,                                                     $69,700

        To Deferred revenue - keyboard                $66,215

        To Deferred revenue - discount coupon    $3,485

(Being cash is recorded)

Working note:-

Keyboards = 4,100 × $19

= $77,900

Option = $41,000 × (0.25 - 0.05) × 0.50

= $4,100

Allocation

For keyboard

= $77,900 ÷ ($77,900 + 4,100)

= 0.95

Deferred revenue Keyboard = $69,700 × 0.95

= $66,215

Option = 4,100 ÷ ($77,900 + 4,100)

= 0.05

Deferred revenue - discount coupon = $69,700 × 0.05

= $3,485

3. Cash Dr,                                                  $69,700

       To Deferred revenue Keyboard               $69,700

(Being cash is recorded)

4 0
3 years ago
Miltmar Corporation will pay a year-end dividend of $5, and dividends thereafter are expected to grow at the constant rate of 4%
MaRussiya [10]

Answer:

(a) 8.90%

(b) $102.04

Explanation:

(a) Market capitalization rate i.e. expected return:

= Risk free rate + Beta (Market return - Risk free rate)

= 4% + 0.70 (11% - 4%)

= 8.90%

Therefore, the market capitalization rate is 8.90%.

(b) Intrinsic value of stock:

= Expected dividend ÷ (Required return - Growth rate)

= $5 ÷ (8.90% - 4%)

= $102.04

Therefore, the intrinsic value of the stock is $102.04.

5 0
3 years ago
John Wiggins is considering the purchase of a small restaurant. The purchase price listed by the seller is $890,000. John has us
Phantasy [73]

Answer:

$763,057

Explanation:

Present value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

Cash flow in year 1-6 =  $89,000

Cash flow in year 7 = 79,000

Cash flow in year 8 = 69,000

Cash flow in year 9=  59,000

Cash flow in year 10 =  49,000 +  $790,000 = 839,000

I = 11%

Present value = $763,057

To find the PV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.

3. Press compute

8 0
3 years ago
Suppose Germany, a large country, imposes a tariff on tuna imports. Before the tariff, all the countries in the world are engage
Ede4ka [16]

Answer:

1. This is true.

The Germans will pay a higher price for tuna because the tariff will increase the price of imported tuna and the reduction in completion with the local producers will lead to higher prices as the local producers take up their price.

2. This is true.

German producers no longer have to compete as much with imported tuna which was cheaper. They will therefore be able to raise their prices.

3. This statement is false.

The world price of Tuna DOES NOT increase because the tariff is only applicable in Germany. Other parts of the world will trade tuna as before. This is what is assumed.

4. This statement is true.

If Vietnam was exporting tuna to Germany, they will become worse off because they will see a decline in demand for their tuna on account of the tariffs making the tuna more expensive.

5. This is false.

Vietnamese tuna consumers will still pay the same price to get tuna because Vietnam produces the tuna. It is Vietnam's producers that will suffer not the consumers.

5 0
3 years ago
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