Anational random sample of 654 women aged 20 – 29 years was taken, and each woman's body mass index (bmi) was measured. the sample data had mean bmi ¯=26.8 and standard deviation =7.42 . what is the 95% confidence interval for the mean bmi of all young women?

The required interval is (26.23 , 27.37)

Step-by-step explanation:

The mean is = 26.8

The standard deviation is = 7.42

n = 654

At 95% confidence interval, the z score is 1.96

To find the desired interval we will calculate as:

And

and

= 27.37 and 26.23

So, the required interval is (26.23 , 27.37)

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2