Content X Take a Test - Mikayla Walker X & https://www.mathxl.com/Student/PlayerTest.aspx?testid=234337000 21FA Elementary Statistical Methods (MATH-1342-31200)_ONLINE_FALL 1_08/23-10/13 Mikayla Walker & | 10/13 Quiz: Quiz 8.1-8.2 Question 1 This Quiz: 8 pts possible Subm ppose a geyser has a mean time between eruptions of 86 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 18 minutes, answer the following questions. ick here to view the standard normal distribution table (page 1) lick here to view the standard normal distribution table (page 2). What is the probability that a random sample of 18 time intervals between eruptions has a mean longer than 95 minutes? he probability that the mean of a random sample of 18 time intervals is more than 95 minutes is approximately (Round to four decimal places as needed.) d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. Choose the correct answer below. A. The probability increases because the variability in the sample mean decreases as the sample size increases O B. The probability increases because the variability in the sample mean increases as the sample size increases. C. The probability decreases because the variability in the sample mean decreas ple size increases. O D. The probability decreases because the variability in the sample mean increases as the sample size increases e) What might you conclude if a random sample of 18 time intervals between eruptions has a mean longer than 95 minutes? Choose the best answer below. O A. The population mean is 86 minutes, and this is an example of a typical sampling. O B. The population mean must be less than 86, since the probability is so low. O C. The population mean may be greater than 86 O D. The population mean cannot be 86, since the probability is so low. 81'F Cloudy ~ 0 Type here to search O O @ 2 3 4 5 W T Y U O R Q E K F G H IC SContent x Take a Test - Mikayla Walker - C n https://www.mathxl.com/Student/PlayerTest.aspx?testld=234337000 18 6 5 0 1 2 33 1 2021FA Elementary Statistical Methods (MATH-1342-31200)_ONLINE_FALL 1_08/23-10/13 Mikayla Walker & | 10/13/ Quiz: Quiz 8.1-8.2 Question 1 This Quiz: 8 pts possible Submi Suppose a geyser has a mean time between eruptions of 86 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 18 minutes, answer the following questions. 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 time interval between eruptions is longer than 95 minutes? The probability that a randomly selected time interval is longer than 95 minutes is approximately (Round to four decimal places as needed.) (b) What is the probability that a random sample of 9 time intervals between eruptions has a mean longer than 95 minutes? The probability that the mean of a random sample of 9 time intervals is more than 95 minutes is approximately .(Round to four decimal places as needed.) (c) What is the probability that a random sample of 18 time intervals between eruptions has a mean longer than 95 minutes? The probability that the mean of a random sample of 18 time intervals is more than 95 minutes is approximately (Round to four decimal places as needed.) (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. Choose the correct answer below. O A. The probability increases because the variability in the sample mean decreases as the sample sample size increases O B. The probability increases because the variability in the sample mean ases as the sample size increases. O C. The probability decreases because the variability in the sample mean de creases as the sample size inc O D. The probability decreases because the variability in the sample mean in sample size increases (e) What might you conclude if a random sample of 18 time intervals between eruptions has a mean longer than 95 minutes? Choose the best answer below. 81'F Cloudy ^ (() Type here to search O 140 @ # 3 4 O 2 O P W E R T Y U Q D IC S F G H K