Question

Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with ?=120 mg/dl and ?=10.7 mg/dl. What is the level ? such that there is probability only 0.03 that the mean glucose level of 2 test results falls above ?? Give your answer precise to one decimal place. ?=

Answer 1

mean μ=	120
standard deviation σ=	10.7000
sample size       =n=	2
std error=σx̅=σ/√n=	7.566

for 97th percentile critical value of z=

1.88

therefore corresponding value=mean+z*std deviation=

134.2