suppose a geyser has a mean time between eruptions of 76 minutes 76 minutes let the interval of

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Suppose a geyser has a mean time between eruptions of 76 minutes. Let the interval of time between the eruptions be normally distributed with a standard deviation of 17 minutes. Complete parts (a) through (e) below. (a) What is the probability that a randomly selected time interval between eruptions is longer than 84 minutes? The probability that a randomly selected time interval is longer than 84 minutes is approximately nothing. (Round to four decimal places as needed.) (b) What is the probability that a random sample of 13 time intervals between eruptions has a mean longer than 84 minutes? The probability that the mean of a random sample of 13 time intervals is more than 84 minutes is approximately nothing. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 30 time intervals between eruptions has a mean longer than 84 minutes? The probability that the mean of a random sample of 30 time intervals is more than 84 minutes is approximately nothing. (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 84 minutes, then the probability that the sample mean of the time between eruptions is greater than 84 minutes increases because the variability in the sample mean decreases as the sample size increases. (e) What might you conclude if a random sample of 30 time intervals between eruptions has a mean longer than 84 minutes? Select all that apply. A. The population mean must be less than 76, since the probability is so low. B. The population mean is 76, and this is just a rare sampling. C. The population mean must be more than 76, since the probability is so low. D. The population mean may be greater than 76. E. The population mean is 76, and this is an example of a typical sampling result. The population mean may be less than 76. G. The population mean cannot be 76 since the probability is so low.

Suppose a geyser has a mean time between eruptions of 76 minutes. Let the interval of time between the eruptions be normally distributed with a standard deviation of 17 minutes. Complete parts (a) through (e) below.

(a) What is the probability that a randomly selected time interval between eruptions is longer than 84 minutes? The probability that a randomly selected time interval is longer than 84 minutes is approximately nothing. (Round to four decimal places as needed.)

(b) What is the probability that a random sample of 13 time intervals between eruptions has a mean longer than 84 minutes? The probability that the mean of a random sample of 13 time intervals is more than 84 minutes is approximately nothing. (Round to four decimal places as needed.)

(c) What is the probability that a random sample of 30 time intervals between eruptions has a mean longer than 84 minutes? The probability that the mean of a random sample of 30 time intervals is more than 84 minutes is approximately nothing. (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 84 minutes, then the probability that the sample mean of the time between eruptions is greater than 84 minutes increases because the variability in the sample mean decreases as the sample size increases.

(e) What might you conclude if a random sample of 30 time intervals between eruptions has a mean longer than 84 minutes? Select all that apply. A. The population mean must be less than 76, since the probability is so low. B. The population mean is 76, and this is just a rare sampling. C. The population mean must be more than 76, since the probability is so low. D. The population mean may be greater than 76. E. The population mean is 76, and this is an example of a typical sampling result. The population mean may be less than 76. G. The population mean cannot be 76 since the probability is so low.

Added by James S.

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