Suppose a geyser has a mean time between eruptions of 63 minutes Let the interval of time between the eruptions be normally distributed with standard deviation 15 minutes Complete parts (a) through (e) below (a) What is the probability that a randomly selected time interval between eruptions is longer than 69 minutes? The probability that a randomly selected time interval is longer than 69 minutes is approximately (Round to four decimal places as needed) (b) What is the probability that a random sample of 10 time intervals between eruptions has a mean longer than 69 minules? The probability that the mean of a random sample of 10 time intervals is more than 69 minutes is approximately (Round to four decimal places as needed) (c) What is the probability that a random sample of 38 time intervals between eruptions has a mean longer than 69 minutes? The probability that the mean of a random sample of 38 time intervals is more than 69 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. Fill in the blanks below If the population mean is less than 69 minutes, then the probability that the sample mean of the time between eruptions is greater than 69 minutes because the variability in the sample mean as the sample sze (e) What might you conclude if a random sample of 38 time intervals between eruptions has a mean longer than 69 minules? Seloct all that apply OA. The population mean must be less than 63, since the probability is so low OB. The population mean must be more than 63, since the probability is so low OC. The population mean is 63, and this is an example of a typical sampling result OD. The population mean is 63, and this is just a rare sampling OE. The population mean may be greater than 63. OF. The population mean may be less than 63 OG. The population mean cannot be 63, since the probability is so low
Suppose a geyser has a mean time between eruptions of 63 minutes Let the interval of time between the eruptions be normally distributed with standard deviation 15 minutes Complete parts (a) through (e) below (a) What is the probability that a randomly selected time interval between eruptions is longer than 69 minutes? The probability that a randomly selected time interval is longer than 69 minutes is approximately (Round to four decimal places as needed) (b) What is the probability that a random sample of 10 time intervals between eruptions has a mean longer than 69 minules? The probability that the mean of a random sample of 10 time intervals is more than 69 minutes is approximately (Round to four decimal places as needed) (c) What is the probability that a random sample of 38 time intervals between eruptions has a mean longer than 69 minutes? The probability that the mean of a random sample of 38 time intervals is more than 69 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. Fill in the blanks below If the population mean is less than 69 minutes, then the probability that the sample mean of the time between eruptions is greater than 69 minutes because the variability in the sample mean as the sample sze (e) What might you conclude if a random sample of 38 time intervals between eruptions has a mean longer than 69 minules? Seloct all that apply OA. The population mean must be less than 63, since the probability is so low OB. The population mean must be more than 63, since the probability is so low OC. The population mean is 63, and this is an example of a typical sampling result OD. The population mean is 63, and this is just a rare sampling OE. The population mean may be greater than 63. OF. The population mean may be less than 63 OG. The population mean cannot be 63, since the probability is so low
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Suppose a geyser has a mean time between eruptions of 63 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 15 minutes. Complete parts (a) through (e) below.
(a) What is the probability that a randomly selected time interval between eruptions is longer than 69 minutes?
The probability that a randomly selected time interval is longer than 69 minutes is approximately
(Round to four decimal places as needed.)
(b) What is the probability that a random sample of 10 time intervals between eruptions has a mean longer than 69 minutes?
The probability that the mean of a random sample of 10 time intervals is more than 69 minutes is approximately
(Round to four decimal places as needed)
(c) What is the probability that a random sample of 38 time intervals between eruptions has a mean longer than 69 minutes?
The probability that the mean of a random sample of 38 time intervals is more than 69 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. Fill in the blanks below.
If the population mean is less than 69 minutes, then the probability that the sample mean of the time between eruptions is greater than 69 minutes
V because the variability in the sample mean
V as the sample size
(e) What might you conclude if a random sample of 38 time intervals between eruptions has a mean longer than 69 minutes? Select all that apply
O A. The population mean must be less than 63, since the probability is so low.
O B. The population mean must be more than 63, since the probability is so low
O c. The population mean is 63, and this is an example of a typical sampling result
O D. The population mean is 63, and this is just a rare sampling.
O E. The population mean may be greater than 63
OF. The population mean may be less than 63.
OG. The population mean cannot be 63, since the probability is so low
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