Content X Take a Test - Mikayla Walker G C n https://www.mathxl.com/Student/PlayerTest.aspx?testld=234337000 2021FA Elementary Statistical Methods (MATH-1342-31200)_ONLINE_FALL 1 08/23-10/13 Question 7 This Quiz: 8 pts possible Quiz: Quiz 8.1-8.2 Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u - 300 days and standard deviation o = 22 days. Complete parts (a) through 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 292 days? The probability that a randomly selected pregnancy lasts less than 292 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 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 292 days. DB. If 100 pregnant individuals were selected independently from this population, we would expect | |pregnancies to last more than 292 days O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 292 days (b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is with Hx -and ox = (Round to four decimal places as needed.) (c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 292 days or less? Type here to search O 86'F Mostly cloudy esc (" ? 4- 4+ 10 144 # $ 3 5 & 4 6 O Q W E R T Y U O A S G H C K Z X C V B N MContent X Take a Test - Mikayla Walker X + c n https://www.mathxl.com/Student/PlayerTest.aspx?testId=234337000 G 2 Mikayla Wa 2021FA Elementary Statistical Methods (MATH-1342-31200)_ONLINE FALL 1 08/23-10/13 = Quiz: Quiz 8.1-8.2 Question 7 This Quiz: 8 pts possible Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean j - 300 days and standard deviation o - 22 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). (d) What is the probability that a random sample of 43 pregnancies has a mean gestation period of 292 days or less? The probability that the mean of a random sample of 43 pregnancies is less than 292 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 = 43 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 292 days or more. O B. If 100 independent random samples of size n = 43 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 292 days. C. If 100 independent random samples of size n = 43 pregnancies were obtained from this population, we would expect | |sample(s) to have a sample mean of 292 days or less. (e) What might you conclude if a random sample of 43 pregnancies resulted in a mean gestation period of 292 days or less? This result would be so the sample likely came from a population whose mean gestation period is 300 days (f) What is the probability a random sample of size 19 will have a mean gestation period within 11 days of the mean? The probability that a random sample of size 19 will have a mean gestation period within 11 days of the mean is |(Round to four decimal places as needed Type here to search O di 85.F Mostly cloudy ~ hp esc ? 10 144 @ # - 2 3 4 6 O Q W E R T Y U O P A S B F G H J K Z X C V B N M altG F -> C n & https://www.mathxl.com/Student/PlayerTest.aspx?testld=234337000 Mikay 2021FA Elementary Statistical Methods (MATH-1342-31200)_ONLINE_FALL 1_08/23-10/13 = Quiz: Quiz 8.1-8.2 Question 7 This Quiz: 8 pts possible Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean p - 300 days and standard deviation o - 22 days. Complete parts (a) through (f) Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 292 days or less? The probability that the mean of a random sample of 17 pregnancies is less than 292 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 = 17 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 292 days. B. If 100 independent random samples of size n = 17 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 292 days or less. O C. If 100 independent random samples of size n = 17 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 292 days or more. (d) What is the probability that a random sample of 43 pregnancies has a mean gestation period of 292 days or less? The probability that the mean of a random sample of 43 pregnancies is less than 292 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.) Type here to search O 85F Mostly cloudy ~ hp esc ? + 19 149 DDI # 3 $ 4 & 6 O O Q W E R T Y U O P A S F G H K Z X C V B N M of