(d) What is the probability that a random sample of 108 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 108 pregnancies is less than 262 days is

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The length of human pregnancies is approximately normal with mean =266 days and standard deviation a 16 days. Complete parts (a) through
(0).
Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2).
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
(Round to the nearest integer as needed.)
OA If 100 independent random samples of size n=37 pregnancies were obtained from this population, we would expect
a sample mean of 262 days or more.
B. If 100 independent random samples of size n=37 pregnancies were obtained from this population, we would expect
a sample mean of exactly 262 days.
sample(s) to have
(d) What is the probability that a random sample of 108 pregnancies has a mean gestation period of 262 days or less?
The probability that the mean of a random sample of 108 pregnancies is less than 262 days is
(Round to four decimal places as needed.)
sample(s) to have
C.
If 100 independent random samples of size n=37 pregnancies were obtained from this bopulation, we would expect 6 sample(s) to have
a sample mean of 262 days or less.
Transcribed Image Text:The length of human pregnancies is approximately normal with mean =266 days and standard deviation a 16 days. Complete parts (a) through (0). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) OA If 100 independent random samples of size n=37 pregnancies were obtained from this population, we would expect a sample mean of 262 days or more. B. If 100 independent random samples of size n=37 pregnancies were obtained from this population, we would expect a sample mean of exactly 262 days. sample(s) to have (d) What is the probability that a random sample of 108 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 108 pregnancies is less than 262 days is (Round to four decimal places as needed.) sample(s) to have C. If 100 independent random samples of size n=37 pregnancies were obtained from this bopulation, we would expect 6 sample(s) to have a sample mean of 262 days or less.
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