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Leokris [45]
2 years ago
15

When we use a confidence interval to reach a conclusion about the population mean, we are applying a type of reasoning or logic

called __________. A. Descriptive statistics B. Graphics C. Statistical inference D. The normal distribution
Mathematics
1 answer:
andriy [413]2 years ago
3 0

Answer:

<em>Statistical inference</em>

Step-by-step explanation:

The confidence interval is used to give a range of values for a target population while applying the law of probability. Inferential statistics makes use of data obtained from a given population to predict and make a conclusion on a study.

Statistical inference is the process of applying the tools for inferential statistics to analyze data gotten from a given fraction of the population. This process is based on probability and random sampling.

<em>When a confidence interval is used to conclude a population study, it is certainly based on probability. Therefore the correct option is statistical inference. </em>

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The 99 percent confidence interval for the average weight of a product is from 71.36 lbs. to 78.64 lbs. Can we conclude that μ i
Ilya [14]

Answer:

Step-by-step explanation:

Hello!

To decide over a hypothesis test using a confidence interval the following conditions are to be met:

1. The hypotheses should be two-tailed.

2. The hypotheses and the confidence interval should be made for the same parameter.

3. The confidence level and the significance level should be complementary, so if the CI is 1-α: 0.99 the level of significance should be α: 0.01

If all conditions are met, the decision rule is the following:

If the value stated in the null hypothesis is contained by the CI, the decision is to not reject the null hypothesis.

If the value stated in the null hypothesis is not contained by the CI, the decision is to reject the null hypothesis.

Let's say in this example the hypotheses are:

H₀: μ = 71

H₁: μ ≠ 71

α: 0.01

99% Confidence level is (71.36;78.64).

As you can see, 71 is not contained in the CI so the decision to take is to reject the null hypothesis, in other words, the population mean is not 71.

I hope it helps!

6 0
2 years ago
Point T is at (–3, 7). What are the coordinates of point T' after Ry-axis ∘ Rx-axis?
dimaraw [331]

Given:

The point is T(-3,7).

To find:

The image T' after R_{y-axis}\circ R_{x-axis}.

Solution:

R_{y-axis}\circ R_{x-axis}, it means reflection across x-axis is followed by reflection across y-axis.

If a point is reflected across the x-axis, then

(x,y)\to (x,-y)

T(-3,7)\to T_1(-3,-7)

Then point is reflected across the y-axis. So,

(x,y)\to (-x,y)

T_1(-3,-7)\to T'(3,-7)

Therefore, the coordinates of point T' are (3,-7).

6 0
2 years ago
The CEO of Millennium Dairy Product, a small venture among 10 partners each having 100,000 shares, sought to raise an additional
klemol [59]

Answer:

Millennium Dairy Product

a) Share of the company that SBI Caps should require today to get a required rate of return of 50%.

= 50%

b) If the company had 1,000,000 (100,000 x10) shares outstanding before the private placement, SBI Caps should purchase

1,000,000 shares = 50% of (1,000,000 + 1,000,000) shares

Assuming the founding promoters are not giving up their shares, instead, new equity shares are being issued.

c) The price per share SBI Caps should agree to pay, if her required return was 50% is

Rs.50 per share, which will provide the required additional equity financing of (Rs.50 million) since Rs.50 x 1,000,000 equals Rs.50 million.

d) Pre money and post money valuations:

These are based on the calculated Market Price of Rs.1,000 per share from the Price/Earnings Ratio.

Pre money valuation will be Rs.1,000 x 1,000,000 shares = Rs.1 billion

Post money valuation will be Rs.1,000 x 2,000,000 shares = Rs.2 billion

e) Carried interests of the VC and the promoters

VC's carried interest = share of profits = 50% xRs.50 million = Rs.25 million

Promoters' carried interest = Rs.25 million

Step-by-step explanation:

a) Calculation of share in the company:

SBI Cap's required rate of return is 50%

If she invests Rs.50 million today, her expected return will be equal to Rs.50 million x 50% = Rs.25 million

Since rate of return = Net Income/Initial Investment or (Current value of investment - Initial Investment)/Initial Investment.

This return will be equal to 50% of the total net income of Rs.50 million

b) Price/Earnings P/E ratio = Market price per share/Earnings per share (EPS)

Since P/E ratio of similar companies = 20 times,

The company's P/E = 20 times x EPS

With calculated EPS = Rs.50 million /1,000,000 = Rs.50

Therefore, price per share = 20 x Rs.50 = Rs.1,000

Pre money valuation = Rs.1,000 x 1 million shares = Rs.1 billion

Post money valuation = Rs.1,000 x 2 million shares = Rs.2 billion

c) The carried interest is the share of profits to which the promoters and the Venture Capitalists are entitled.  Their respective shares are 50% of the net income = Rs.25 million each.

d) The pre money and post money valuations:  The pre money valuation is the valuation of the company before the additional equity financing.  The post money valuation is the valuation of the company after the additional equity financing.  There are many ways to value a company.  In this case, we have used the P/E ratio as a basis for the valuation.  However, we did not dilute the earnings per share post money, for simplicity.

3 0
2 years ago
Mr. Phillips is mixing paint for his art class. How many 6-ounce bottles can he fill with the quantities of paint shown at the r
Delvig [45]
Is there any images?
7 0
2 years ago
Consider this equation: -2x - 4 + 5x = 8 Generate a plan to solve for the cariable. Describe the steps that will be used.
nordsb [41]
We are given the function –2x – 4 + 5x = 8 and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:

-2x + 5x =8+4
Then, do the necessary operations.

3x = 12
x = 4.
The variable x has a value of 4.
8 0
2 years ago
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