Just D Suppose a geyser has a mean time between eruptions of 74 minutes. If the
ID: 3017619 • Letter: J
Question
Just D
Suppose a geyser has a mean time between eruptions of 74 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 14 minutes, answer the following questions. (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 3085. (Round to four decimal places as needed.) (b) What is the probability that a random sample of 11 time intervals between eruptions has a mean longer than 81 minutes? The probability that the mean of a random sample of 11 time intervals is more than 81 minutes is approximately 04865. (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 0054. (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 B. The probability decreases because the variability in the sample mean increases as the sample size increases. C. The probability decreases because the variability in the sample mean decreases as the sample size increases D. The probability increases because the variability in the sample mean increases as the sample size increases.Explanation / Answer
Option C is the correct choice for the mentioned reasons
As population size will increase the variations population mean will decrease and thus probability decreases.
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