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Fantom [35]
3 years ago
13

I need to know the answers

Mathematics
1 answer:
Lelu [443]3 years ago
5 0
Really dude I don't even no that but maybe someone else
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What is the formula for a confidence interval?
ikadub [295]

Answer:

a) The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

b) \bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

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".  

If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Part a

The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

Part b

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

5 0
3 years ago
Help Look at image!!
faust18 [17]

Answer:

3/4

Step-by-step explanation:

Use the rise over run equation

5 0
3 years ago
Read 2 more answers
In a class of 20 students:
Artyom0805 [142]

Whats the question? I dont understand whats happenign here.

5 0
3 years ago
Read 2 more answers
The sum of two numbers is 58. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT
Ann [662]

Answer:

26 and 32. The product (multiplied together) is 832.

6 0
3 years ago
At Store X, the list price of a new laptop is $1,500. For the holidays, Store X initially offered a 10% discount on the laptop.
nordsb [41]

Answer:

77.5%

Step-by-step explanation:

The question gives the first laptop price, the first discount and the subsequent discount. This is therefore how we will go about obtaining the total percentage discount;

Price of New Laptop = $1500

New Price after first discount = $1500 - (10% of $1500) = $1500 - $150 = $1350

Then an additional 75% discount gives: $1350 - (75% of $1350) = $1350 - $1012.50 = $337.50

Now, the total discount is the difference in the first laptop price ($1500) and this current price: $1500 - $337.50 = $1162.50

The total percentage discount = \frac{Total Discount}{First Price} × 100% = \frac{1162.50}{1500} × 100% = 77.5%

6 0
3 years ago
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