What is 4r r is simplest form?

g You plan to construct a confidence interval for the mean μ μ of a Normal population with known standard deviation σ . σ. Which

muminat

Answer:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The margin of error is given by:

$ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

And we can reduce this margin of error with:

Increasing the sample size

Step-by-step 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".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma$ represent the population standard deviation

n represent the sample size

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

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The margin of error is given by:

[tex] ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

And we can reduce this margin of error with:

Increasing the sample size

5 0

4 years ago

Lilian has part of $9000 invested at 4% and the remainder at 6%. His annual return on each investment is the same. At what rate

Debora [2.8K]

Given:
Total amount invested = $9,000
interest rates = 4% and 6%

Let x be the part of 9,000.
Note that annual return on each investment is the same.

0.04x = 0.06(9,000 - x)
0.04x = 540 - 0.06x
0.04x + 0.06x = 540
0.10x = 540
x = 540/0.10
x = 5,400

0.04x = 0.06(9,000 - x)
0.04(5,400) = 0.06(9,000 - 5,400)
216 = 0.06(3,600)
216 = 216

total interest for the year : 216 + 216 = 432

Interest = pricipal * interest rate * term
432 = 9,000 * interest rate * 1 yr
432/9,000 = interest rate
0.048 = interest rate

Interest rate would be 4.8% to get the same interest from the whole 9,000.

3 0

3 years ago

How do you round 65.0798 to the nearest tenth

Dmitry_Shevchenko [17]

65.0798 rounded to the nearest tenth is 65.1, if the number after the number you are rounding is 5 or over you will round up. If the number after it is under 5 then it will stay the same.

7 0

3 years ago

Read 2 more answers

From a recent company survey, it is known that the proportion of employees older than 55 and considering retirement is 8%. For a

Akimi4 [234]

Answer: 2.845

Step-by-step explanation:

The formula to find the standard deviation is given by :-

$\sigma=\sqrt{n(1-p)p}$ , where p is the probability of getting success in each trial and n is the sample size.