The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 21.25 minutes, 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). The probability that the mean of a random sample of 29 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. The probability V because the variability in the sample mean increases as the sample size increases. (e) What might you conclude if a random sample of 29 time intervals between eruptions has a mean longer than 95 minutes? Select all that apply. O A. The population mean must be less than 85 minutes, since the probability is so low. O B. The population mean must be more than 85 minutes, since the probability is so low. O C. The population mean cannot be 85 minutes, since the probability is so low. O D. The population mean is 85 minutes, and this is just a rare sampling. O E. The population mean is probably greater than 85 minutes. O F. The population mean is 85 minutes, and this s an example of a typical sampling result. O G. The population mean is probably less than 85 minutes. (f) On a certain day, suppose there are 24 time intervals for Old Faithful. Treating these 24 eruptions as a random sample, there is a 0.20 likelihood that the mean length of time between eruptions will exceed what value? The likelihood the mean length of time between eruptions exceeds minutes is 0.20. (Round to one decimal place as needed.)
The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 21.25 minutes, 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). The probability that the mean of a random sample of 29 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. The probability V because the variability in the sample mean increases as the sample size increases. (e) What might you conclude if a random sample of 29 time intervals between eruptions has a mean longer than 95 minutes? Select all that apply. O A. The population mean must be less than 85 minutes, since the probability is so low. O B. The population mean must be more than 85 minutes, since the probability is so low. O C. The population mean cannot be 85 minutes, since the probability is so low. O D. The population mean is 85 minutes, and this is just a rare sampling. O E. The population mean is probably greater than 85 minutes. O F. The population mean is 85 minutes, and this s an example of a typical sampling result. O G. The population mean is probably less than 85 minutes. (f) On a certain day, suppose there are 24 time intervals for Old Faithful. Treating these 24 eruptions as a random sample, there is a 0.20 likelihood that the mean length of time between eruptions will exceed what value? The likelihood the mean length of time between eruptions exceeds minutes is 0.20. (Round to one decimal place as needed.)
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 21.25 minutes,
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).
The probability that the mean of a random sample of 29 time intervals is more than 95 minutes is approkimately| .
(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.
The probability
V because the variability in the sample mean increases as the sample size increases.
(e) What might you conclude if a random sample of 29 time intervals between eruptions has a mean longer than 95 minutes? Select all that apply.
O A. The population mean must be less than 85 minutes, since the probability is so low.
O B. The population mean must be more than 85 minutes, since the probability is so low.
O C. The population mean cannot be 85 minutes, since the probability is so low.
O D. The population mean is 85 minutes, and this is just a rare sampling.
O E. The population mean is probably greater than 85 minutes.
O F. The population mean is 85 minutes, and this s an example of a typical sampling result.
O G. The population mean is probably less than 85 minutes.
(f) On a certain day, suppose there are 24 time intervals for Old Faithful. Treating these 24 eruptions as a random sample, there is a 0.20 likelihood that the mean length of time between eruptions will exceed what value?
The likelihood the mean length of time between eruptions exceeds minutes is 0.20.
(Round to one decimal place as needed.)
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