part c thank you! Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 260 days and standard deviation o = 22 days. Complete parts (a) through (f) below.(a) What is the probability that a randomly selected pregnancy lasts less than 253 days?The probability that a randomly selected pregnancy lasts less than 253 days is approximately 0.3745. (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.)O A. If 100 pregnant individuals were selected independently from this population, we would expectpregnancies to last more than 253 days.O B. If 100 pregnant individuals were selected independently from this population, we would expect 37 pregnancies to last less than 253 days.O C. If 100 pregnant individuals were selected independently from this population, we would expectpregnancies to last exactly 253 days.(b) Suppose a random sample of 21 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.The sampling distribution of x isnormalwith H: = 260 and o: = 4.8008.(Round to four decimal places as needed.)(c) What is the probability that a random sample of 21 pregnancies has a mean gestation period of 253 days or less?The probability that the mean of a random sample of 21 pregnancies is less than 253 days is approximately(Round to four decimal places as needed.)

Provided information is, Length of the pregnancies of a certain animal are approximately normally…

Answered: part c thank you!

Math

Statistics

part c thank you!

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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part c thank you!

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 260 days and standard deviation o = 22 days. Complete parts (a) through (f) below.
(a) What is the probability that a randomly selected pregnancy lasts less than 253 days?
The probability that a randomly selected pregnancy lasts less than 253 days is approximately 0.3745. (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.)
O A. If 100 pregnant individuals were selected independently from this population, we would expect
pregnancies to last more than 253 days.
O B. If 100 pregnant individuals were selected independently from this population, we would expect 37 pregnancies to last less than 253 days.
O C. If 100 pregnant individuals were selected independently from this population, we would expect
pregnancies to last exactly 253 days.
(b) Suppose a random sample of 21 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.
The sampling distribution of x is
normal
with H: = 260 and o: = 4.8008.
(Round to four decimal places as needed.)
(c) What is the probability that a random sample of 21 pregnancies has a mean gestation period of 253 days or less?
The probability that the mean of a random sample of 21 pregnancies is less than 253 days is approximately
(Round to four decimal places as needed.)

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