Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ = 195 days and standard deviation o= 18 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). CH (a) What is the probability that a randomly selected pregnancy lasts less than 188 days? The probability that a randomly selected pregnancy lasts less than 188 days is approximately 0.3486. (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 188 days. pregnancies to last exactly 188 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect C. If 100 pregnant individuals were selected independently from this population, we would expect 35 pregnancies to last less than 188 days. (b) Suppose a random sample of 18 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is normal with μ- 195 and o-= 4.2426. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 18 pregnancies has a mean gestation period of 188 days or less? The probability that the mean of a random sample of 18 pregnancies is less than 188 days is approximately (Round to four decimal places as needed.)

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

Please just answer C

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ = 195 days and standard deviation o=18 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 188 days?
The probability that a randomly selected pregnancy lasts less than 188 days is approximately 0.3486. (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
OB. If 100 pregnant individuals were selected independently from this population, we would expect
pregnancies to last more than 188 days.
pregnancies to last exactly 188 days.
C. If 100 pregnant individuals were selected independently from this population, we would expect 35 pregnancies to last less than 188 days.
(b) Suppose a random sample of 18 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.
The sampling distribution of X is normal with μ = 195 and o- = 4.2426
(Round to four decimal places as needed.)
(c) What is the probability that a random sample of 18 pregnancies has a mean gestation period of 188 days or less?
The probability that the mean of a random sample of 18 pregnancies is less than 188 days is approximately
(Round to four decimal places as needed.)
Transcribed Image Text:Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ = 195 days and standard deviation o=18 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 188 days? The probability that a randomly selected pregnancy lasts less than 188 days is approximately 0.3486. (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 OB. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 188 days. pregnancies to last exactly 188 days. C. If 100 pregnant individuals were selected independently from this population, we would expect 35 pregnancies to last less than 188 days. (b) Suppose a random sample of 18 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of X is normal with μ = 195 and o- = 4.2426 (Round to four decimal places as needed.) (c) What is the probability that a random sample of 18 pregnancies has a mean gestation period of 188 days or less? The probability that the mean of a random sample of 18 pregnancies is less than 188 days is approximately (Round to four decimal places as needed.)
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