Question

It is known that the mean cholesterol level for all Americans is 190. Construct the relevant hypothesis test to show that only children have an average higher cholesterol level than the national average. We tested 100 children and find out the mean is 198. You can use your own confidence level. (All Americans Standard Deviation is 15)

Answer 1

95% of confidence intervals are

(197.706 , 198.294)

Explanation:

Explanation:-

Given sample size 'n'=100

Mean of the sample x⁻ = 198

The standard deviation of the Americans =15

95% of confidence intervals are determined by

`(x^(-) - Z_(\alpha ) (S.D)/(√(n) ) , x^(-) +Z_(\alpha ) (S.D)/(√(n) ))`

Level of significance = 0.05

Z₀.₀₅ = 1.96

=
`(198 - 1.96 (15)/(√(100) ) , 198 +1.96(15)/(√(100) ))`

= ( 198 -0.294 ,198 +0.294)

= (197.706 , 198.294)

95% of confidence intervals are

(197.706 , 198.294)