The 95% confidence interval based on a sample with s = 15 extends from 31.4 to 37.4. what is the size of the sample? urgent :

ould use the margin of error formula so that we can solve for the sample size yielding necessary results for an accurate specified confidence and margin of error.

The formula for margin of error is:

E = Za/2 * standard deviation / sqrt n

So we are going to change this into

n = [Za/2 * standard dev / Margin of error] ^2

so for a 95% confidence interval we have an alpha equivalent to = 0.05

so a/2 = 0.025. the critical value for this is 1.960

let our margin of error be 1 and the standard deviation be 1

so plugging in our data:

n = [1.96 * 15 / 1] ^2

= 864.36 or 864

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)