Suppose a geyser has a mean time between eruptions of 69 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 27 minutes. (e) What might you conclude if a random sample of 26 time intervals between eruptions has a mean longer than 81 minutes? Select all that apply.O A. The population mean must be less than 69, since the probability is so low.B. The population mean cannot be 69, since the probability is so low.C. The population mean is 69, and this is an example of a typical sampling result.D. The population mean is 69, and this is just a rare sampling.] E. The population mean may be greater than 69.] F. The population mean may be less than 69.O G. The population mean must be more than 69, since the probability is so low. Suppose a geyser has a mean time between eruptions of 69 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 27 minutes. Completeparts (a) through (e) below.(a) What is the probability that a randomly selected time interval between eruptions is longer than 81 minutes?The probability that a randomly selected time interval is longer than 81 minutes is approximately(Round to four decimal places as needed.)(b) What is the probability that a random sample of 12 time intervals between eruptions has a mean longer than 81 minutes?The probability that the mean of a random sample of 12 time intervals is more than 81 minutes is approximately(Round to four decimal places as needed.)(c) What is the probability that a random sample of 26 time intervals between eruptions has a mean longer than 81 minutes?The probability that the mean of a random sample of 26 time intervals is more than 81 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 81 minutes, then the probability that the sample mean of the time between eruptions is greater than 81 minutesV because the variability inthe sample meanas the sample size

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Suppose a geyser has a mean time between eruptions of 69 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 27 minutes.

(e) What might you conclude if a random sample of 26 time intervals between eruptions has a mean longer than 81 minutes? Select all that apply.
O A. The population mean must be less than 69, since the probability is so low.
B. The population mean cannot be 69, since the probability is so low.
C. The population mean is 69, and this is an example of a typical sampling result.
D. The population mean is 69, and this is just a rare sampling.
] E. The population mean may be greater than 69.
] F. The population mean may be less than 69.
O G. The population mean must be more than 69, since the probability is so low.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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