Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ = 283 days and standard deviation o= 17 days. Complete parts (a) through (f) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected pregnancy lasts less than 277 days? The probability that a randomly selected pregnancy lasts less than 277 days is approximately 0.3632. (Round to four decimal places as needed.) 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 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 277 days. OB. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 277 days. C. If 100 pregnant individuals were selected independently from this population, we would expect 36 pregnancies to last less than 277 days. (b) Suppose a random sample of 20 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. normal with μx The sampling distribution of x is (Round to four decimal places as needed.) (c) What is the probability that a random sample of 20 pregnancies has a mean gestation period of 277 days or less? = 283 and o- = 3.8013. The probability that the mean of a random sample of 20 pregnancies is less than 277 days is approximately 0.0618 (Round to four decimal places as needed.)
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ = 283 days and standard deviation o= 17 days. Complete parts (a) through (f) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected pregnancy lasts less than 277 days? The probability that a randomly selected pregnancy lasts less than 277 days is approximately 0.3632. (Round to four decimal places as needed.) 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 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 277 days. OB. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 277 days. C. If 100 pregnant individuals were selected independently from this population, we would expect 36 pregnancies to last less than 277 days. (b) Suppose a random sample of 20 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. normal with μx The sampling distribution of x is (Round to four decimal places as needed.) (c) What is the probability that a random sample of 20 pregnancies has a mean gestation period of 277 days or less? = 283 and o- = 3.8013. The probability that the mean of a random sample of 20 pregnancies is less than 277 days is approximately 0.0618 (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean
μ = 283 days and standard deviation o= 17 days. Complete parts (a) through (f) below.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
Vo) 1
LTE 4G. 34%
(...)
(a) What is the probability that a randomly selected pregnancy lasts less than 277 days?
The probability that a randomly selected pregnancy lasts less than 277 days is approximately 0.3632. (Round to four
decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
(Round to the nearest integer as needed.)
A. If 100 pregnant individuals were selected independently from this population, we would expect
pregnancies to last more than 277 days.
OB. If 100 pregnant individuals were selected independently from this population, we would expect
pregnancies to last exactly 277 days.
C. If 100 pregnant individuals were selected independently from this population, we would expect 36
pregnancies to last less than 277 days.
(b) Suppose a random sample of 20 pregnancies is obtained. Describe the sampling distribution of the sample mean
length of pregnancies.
The sampling distribution of x is normal with μ = 283 and = 3.8013.
(Round to four decimal places as needed.)
(c) What is the probability that a random sample of 20 pregnancies has a mean gestation period of 277 days or less?
=
The probability that the mean of a random sample of 20 pregnancies is less than 277 days is approximately 0.0618
(Round to four decimal places as needed.)
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