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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). (a) What is the probability that a randomly selected pregnancy lasts less than 112 days? The probability that a randomly selected pregnancy lasts less than 112 days is approximately decimal places as needed.) (Round to four 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 112 days. B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 112 days. OC. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 112 days. (b) Suppose a random sample of 18 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. with μ = and = X The sampling distribution of x is (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 112 days or less? The probability that the mean of a random sample of 18 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.) O A. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 112 days or less. OB. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 112 days. OC. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 112 days or more.

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). (a) What is the probability that a randomly selected pregnancy lasts less than 112 days? The probability that a randomly selected pregnancy lasts less than 112 days is approximately decimal places as needed.) (Round to four 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 112 days. B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 112 days. OC. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 112 days. (b) Suppose a random sample of 18 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. with μ = and = X The sampling distribution of x is (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 112 days or less? The probability that the mean of a random sample of 18 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.) O A. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 112 days or less. OB. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 112 days. OC. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 112 days or more.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 59CR
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t 2:24 K Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ = 116 days and standard deviation o = 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). (a) What is the probability that a randomly selected pregnancy lasts less than 112 days? The probability that a randomly selected pregnancy lasts less than 112 days is approximately 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 112 days. Vo) 1 2 ... 4G .... | 4% OB. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 112 days. OC. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 112 days. (b) Suppose a random sample of 18 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. (Round to four The sampling distribution of x is (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 112 days or less? with μ = and = X The probability that the mean of a random sample of 18 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.) O A. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 112 days or less. OB. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 112 days. OC. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 112 days or more. (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.) OA. 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 less. This result would be 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? 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.) O ▼ so the sample likely came from a population whose mean gestation period is Next
Transcribed Image Text:t 2:24 K Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ = 116 days and standard deviation o = 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). (a) What is the probability that a randomly selected pregnancy lasts less than 112 days? The probability that a randomly selected pregnancy lasts less than 112 days is approximately 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 112 days. Vo) 1 2 ... 4G .... | 4% OB. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 112 days. OC. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 112 days. (b) Suppose a random sample of 18 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. (Round to four The sampling distribution of x is (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 112 days or less? with μ = and = X The probability that the mean of a random sample of 18 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.) O A. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 112 days or less. OB. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 112 days. OC. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 112 days or more. (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.) OA. 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 less. This result would be 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? 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.) O ▼ so the sample likely came from a population whose mean gestation period is Next
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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