Chapter P, Section 5, Exercise 146 Find endpoint(s) on the given normal density
ID: 3061581 • Letter: C
Question
Chapter P, Section 5, Exercise 146 Find endpoint(s) on the given normal density curve with the given property. (a) The area to the right of the endpoint on a N (25, 10) curve is about 0.25 Round your answer to one decimal place. Endpoint- the absolute tolerance is +/-0.1 SHOW HINT LINK TO TEXT (b) The area to the left of the endpoint on a N (500, 89) curve is about 0.02 Round your answer to one decimal place Endpoint the absolute tolerance is +7-0.1 SHOW HINT LINK TO TEXT (c) The symmetric middle area on a N (10, 1) curve is about 0.95. Round your answers to one decimal place. Enter your answers in increasing order. The endpoints are IdExplanation / Answer
Ans:
a)Given that
mean=25,standard deviation=10
P(Z>=z)=0.25
z=0.6745
endpoint=25+0.6745*10=31.7
b)mean=500,standard deviation=89
P(Z<=z)=0.02
z=-2.054
endpoint=500-2.054*89=317.2
c) z value for middle 95% is +/-1.96
lower limit=10-1.96*1=8.0
upper limit=10+1.96*1=12.0