- C Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ = 116 days and standard deviation = 12 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). 0 KAISEMIN (d) What is the probability that a random sample of 52 pregnancies has a mean gestation period of 112 days or less? The probability that the mean of a random sample of 52 pregnancies is less than 112 days is approximately (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 independent random samples of size n = 52 pregnancies were obtained from this population, we would expect 8 sample(s) to have a sample mean of 112 days or less. OB. If 100 independent random samples of size n = 52 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 112 days or more. OC. If 100 independent random samples of size n = 52 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 112 days. (e) What might you conclude if a random sample of 52 pregnancies resulted in a mean gestation period of 112 days or less? This result would be unusual, so the sample likely came from a population whose mean gestation period is 116 days. less than (f) What is the probability a random sample of size 17 will have a mean gestation period within 10 days of the mean? The probability that a random sample of size 17 will have a mean gestation period within 10 days of the mean is (Round to four decimal places as needed.)

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Author:Amos Gilat
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Question
K
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean
μ = 116 days and standard deviation = 12 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).
10
(d) What is the probability that a random sample of 52 pregnancies has a mean gestation period of 112 days or less?
The probability that the mean of a random sample of 52 pregnancies is less than 112 days is approximately
(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 independent random samples of size n = 52 pregnancies were obtained from this population, we would
expect 8 sample(s) to have a sample mean of 112 days or less.
OB. If 100 independent random samples of size n = 52 pregnancies were obtained from this population, we would
expect sample(s) to have a sample mean of 112 days or more.
OC. If 100 independent random samples of size n = 52 pregnancies were obtained from this population, we would
expect sample(s) to have a sample mean of exactly 112 days.
(e) What might you conclude if a random sample of 52 pregnancies resulted in a mean gestation period of 112 days
or less?
This result would be unusual, so the sample likely came from a population whose mean gestation period is
less than 116 days.
(f) What is the probability a random sample of size 17 will have a mean gestation period within 10 days of the mean?
The probability that a random sample of size 17 will have a mean gestation period within 10 days of the mean is
(Round to four decimal places as needed.)
Transcribed Image Text:K Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ = 116 days and standard deviation = 12 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). 10 (d) What is the probability that a random sample of 52 pregnancies has a mean gestation period of 112 days or less? The probability that the mean of a random sample of 52 pregnancies is less than 112 days is approximately (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 independent random samples of size n = 52 pregnancies were obtained from this population, we would expect 8 sample(s) to have a sample mean of 112 days or less. OB. If 100 independent random samples of size n = 52 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 112 days or more. OC. If 100 independent random samples of size n = 52 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 112 days. (e) What might you conclude if a random sample of 52 pregnancies resulted in a mean gestation period of 112 days or less? This result would be unusual, so the sample likely came from a population whose mean gestation period is less than 116 days. (f) What is the probability a random sample of size 17 will have a mean gestation period within 10 days of the mean? The probability that a random sample of size 17 will have a mean gestation period within 10 days of the mean is (Round to four decimal places as needed.)
0.00
0.00
0.01
0.01
0.02
0.02
Standard Normal Distribution
0.04
0.05
0.03
0.04
0.00
0.05
0.01
0.4522
90'0
0.02
0.06
Standard Normal Distribution Table (page 1)
0.07
0.3707
0.4090 0.4052
0.4463 0.4443
0.03
0.0007
Standard Normal Distribution
0.04
0.03
0.05
0.08
0.04
0.813
0.05
0.0015
0.9952
0.09
0.4013
0.44404 0.4364
0.06
03557
0.3936
01221
0.07
0 2520
0.3897
UAZ80
0.08
Transcribed Image Text:0.00 0.00 0.01 0.01 0.02 0.02 Standard Normal Distribution 0.04 0.05 0.03 0.04 0.00 0.05 0.01 0.4522 90'0 0.02 0.06 Standard Normal Distribution Table (page 1) 0.07 0.3707 0.4090 0.4052 0.4463 0.4443 0.03 0.0007 Standard Normal Distribution 0.04 0.03 0.05 0.08 0.04 0.813 0.05 0.0015 0.9952 0.09 0.4013 0.44404 0.4364 0.06 03557 0.3936 01221 0.07 0 2520 0.3897 UAZ80 0.08
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