The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal, with mean 266 days and standard deviation 16 days. A study enrolls a random sample of 16 pregnant women. a) What are the mean and standard deviation of the sampling distribution of x̄? b) What is the probability that the average pregnancy length exceeds 270 days?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question

The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal, with mean 266 days and standard deviation 16 days. A study enrolls a random sample of 16 pregnant women.

a) What are the mean and standard deviation of the sampling distribution of x̄?

b) What is the probability that the average pregnancy length exceeds 270 days?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill