Formula : $EBM =z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$ , where $\alpha=$ significance level , $\sigma =$ Population standard deviation, n= sample size.

As per given, n= 22

$\sigma = 2$

Critical z- value for 90% confidence level : $z_{\alpha/2}=1.645$

Then,

$EBM =(1.645)\dfrac{2}{\sqrt{22}}\\\\=(1.645)\dfrac{2}{4.690416}\\\\\approx0.701$

Hence , error bound (EBM) of the confidence interval with a 90% confidence level= ± 0.701

5 0

3 years ago

If m varies directly with x 2 , and m = 10 when x = −4, find the value of m when x = 3

mestny [16]

If it is directly proportional, then:

m = kx
10 = k x -4
k = -2.5

m = 3 x -2.5
m= 7.5

Hope I helped!

7 0

3 years ago

A fair charges $8 to enter and $0.50 per ticket. Write an algebraic expression to represent

lutik1710 [3]

Answer:

t(total amount) = 8 + 0.5x

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Here is a list of five numbers.98^53 98^64 98^73 98^88 98^91Find the lowest common multiple of these five numbers.

tekilochka [14]

Answer:

98^91

Step-by-step explanation:

Since the base of all the numbers is 98,

the LCM is simply the one with the greatest exponent

example

98^53 * 98^38 = 98^91

3 0

2 years ago