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baherus [9]
2 years ago
12

A social sciences researcher wants to know about the amount of money that couples without children spend on leisure travel. Her

sample of 280 couples yields a mean of $1263.00 and a standard deviation of $160.00. What is the margin of error for a 95% confidence interval?
Business
1 answer:
Anit [1.1K]2 years ago
8 0

Answer:

$18.74

Explanation:

the margin of error for a 95% confidence level = Z x (σ / √n)

  • Z for a 95% confidence level = 1.96
  • standard deviation (σ) = $160
  • sample size (n) = 280

the margin of error for a 95% confidence level = 1.96 x ($160 / √280) = 1.96 x ($160 / 16.733) = 1.96 x $9.56 = $18.74

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A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by upper c equals 0.
Fantom [35]

Answer:

The cost per month is increasing at a rate $365.

Explanation:

Differentiation Formula

  • \frac{d}{dx}(x^n)= nx^{n-1}  
  • \frac{d}{dx}(a)=0             [ where a is a constant]
  • \frac{d}{dx}(ax^n)=a \frac{d}{dx}(x^n)= anx^{n-1}

Given that,

A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by

c=0.2x^2+10,000.

Again given that,

the rate of changing production is 13 unit per month

i.e \frac{dx}{dt}=13

To find the cost per month, we need to find out the value \frac{dc}{dt} when production is changing at the rate 13 units per month and the production is 70 units.

c=0.2x^2+10,000

Differentiating with respect to t

\frac{d}{dt}(c)=\frac{d}{dt}(0.2x^2)+\frac{d}{dx}(10,000)

\Rightarrow \frac{dc}{dt}=0.2\frac{d}{dt}(x^2)+\frac{d}{dx}(10,000)

\Rightarrow \frac{dc}{dt}=0.2\times 2x^{2-1}\frac{dx}{dt}+0

\Rightarrow \frac{dc}{dt}=0.4x\frac{dx}{dt}

Plugging \frac{dx}{dt}=13

\Rightarrow \frac{dc}{dt}=0.4x\times 13

\Rightarrow \frac{dc}{dt}=5.2x

\frac{dc}{dt}|_{x=70}=5.2\times 70 [ plugging x=70]

            =364

[ The unit of c is not given. Assume that the unit of c is dollar.]

The cost per month is increasing at a rate $365.

4 0
1 year ago
11. Bob Johnson established a Section 529 Savings Plan for his son Robert several years ago. It is now time to pay Robert's firs
tensa zangetsu [6.8K]

Answer:

Bob Johnson, you know, I had a friend named Bob. Those were the days.

Explanation:

8 0
1 year ago
I am usually satisfied with work that is "good enough." true or false?
Brilliant_brown [7]
True because i think so
5 0
1 year ago
Read 2 more answers
During 2016, Monty Corporation spent $156,960 in research and development costs. As a result, a new product called the New Age P
MAXImum [283]

Answer:

The entries during 2016 are as follows:

- Intangible asset (R&D)  $156960

                                      Cash  $156960

- Patent   $32400

             Cash  $32400

- Patent amortization expense  $3240

                                                Patent $3240

Explanation:

According to IAS 38 (Intangible assets), research and development costs should only be capitalized (recorded as intangible assets) when all of the following criteria is met.

<em>1- The entity intends to complete the development of research findings.</em>

<em>2- The costs of research and development can be reliably measured.</em>

<em>3- There are adequate resources available for the development and development has technical feasibility.</em>

<em>4- It's probable that future economic benefits will flow to the entity.</em>

Given the data in the question, all of the requirements are met under IAS 38 and hence the research and development costs are capitalized (recorded as an intangible asset). Secondly, the patent is also an intangible non-current asset.

The entries during 2016 are as follows:

- Intangible asset (R&D)  $156960

                                      Cash  $156960

- Patent   $32400

             Cash  $32400

- Patent amortization expense  $3240

                                                Patent $3240

Patent amortization is calculated by dividing the cost of patent upon it's useful life (i.e $32400÷10).

4 0
2 years ago
A bookstore costs $90 a day to keep open, and spends $12 for each book it sells. The store charges $18 for each book it sells. I
vekshin1

Answer:

C

Explanation:

6 0
1 year ago
Read 2 more answers
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