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aliya0001 [1]
3 years ago
13

Market research indicates that a new product has the potential to make the company an additional $1.6 million, with a standard d

eviation of $2.5 million. If these estimates were based on a sample of 12 customers from a normally distributed data set, what would be the 95% confidence interval?a. (0.00, 3.69) b. (-0.13, 3.33) c. (-0.49, 3.69) d.(-0.09, 4.10)
Business
1 answer:
zhannawk [14.2K]3 years ago
5 0

Answer:

The 95% confidence interval would be given by (0.011;3.2188)

But on this case the most accurate option seems to be :  a. (0.00, 3.69)

Explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

The confidence interval for the mean is given by the following formula:  

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=12-1=11  

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,11)".And we see that t_{\alpha/2}=2.201  

Now we have everything in order to replace into formula (1):  

1.6-2.201\frac{2.5}{\sqrt{12}}=0.011  

1.6+2.201\frac{2.5}{\sqrt{12}}=3.188  

So on this case the 95% confidence interval would be given by (0.011;3.2188)

But on this case the most accurate option seems to be :  a. (0.00, 3.69)

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BabaBlast [244]

It can be said that kent and julie have Low Inter-rater Reliability.

<h3>What is Inter-rater Reliability?</h3>
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5 0
1 year ago
You purchase both potatoes and gasoline regularly. Your income decreases, and you purchase less gasoline. This means that: Gasol
KIM [24]

Answer:

Gasoline is a normal good

Explanation:

Normal goods are goods that are goods whose demand increases when income increases and falls when income falls

Inferior goods are goods whose demand falls when income rises and increases when income falls.

Because the demand for gasoline falls when income falls, gasoline is a normal good.

I hope my answer helps you

7 0
3 years ago
On June 15, Oakley Inc. sells inventory on account to Sunglass Hut (SH) for $4,500, terms 4/10, n/30. On June 20, SH returns to
Georgia [21]

Answer: $3360

Explanation:

Based on the information given in the question, the amount of cash paid by SH to Oakley will be calculated as thus:

SH will be entitled to a discount of 4% since the payment was made within the discount period, therefore, the discount that is applicable will be:

= $4500 - $1000

= $3,500

Therefore, the amount of cash payment that is made by SH to Oakley will be:

= $3,500 - (4% × $3,500)

= $3500 - (0.04 × $3500)

= $3500 - $140

= $3360

Therefore, the amount of cash paid by SH to Oakley is $3360.

7 0
3 years ago
Henrique​ Correa's bakery prepares all its cakes between 4 A.M.and 6 A.M.so they will be fresh when customers arrive.​ Day-old c
romanna [79]

Answer:

24.7215

Explanation:

Given;

Discount = 50%

Regular price, p = $8

cost of cake, c = $5

salvage value, s = 50% of $8 = $4

Mean = 20

Standard deviation, σ = 7

Now,

Underage cost, Cu = p - c

= $8 - $5

= $3

Overage cost, Co = c - s

= $5 - $4

= $1

P ≤ \frac{C_{u}}{(C_{u}+C_{o})}

P ≤  \frac{3}{(3+1)}

P ≤ 0.75

The Z value for the probability 0.75 is 0.6745

The optimal stocking level = Mean + ( z × σ )

= 20 + 0.6745 × 7

= 24.7215

7 0
3 years ago
In order for a country to progress from a less developed country (LDC) to a moderately developed country (MDC), the country woul
Margaret [11]

Answer:

d) raise the per-capita income

Explanation:

A less developed country is a country with a low per capita income. They usually don't have a sustainable development.

A moderately developed country is a country that has a per capita income of between $1000 - $12,000.

Per Capita income = GDP / population

I hope my answer helps you.

7 0
3 years ago
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