I just need D Suppose a geyser has a mean time between eruptions of 74 minutes.
ID: 3273582 • Letter: I
Question
I just need 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. 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. (e) What might you conclude if a random sample of 26 time intervals between eruptions has a mean longer than 81 minutes? Choose the best answer below. A. The population mean must be more than 74, since the probability is so low. B. The population mean is 74 minutes, and this is an example of a typical sampling. C. The population mean cannot be 74, since the probability is so low. D. The population mean may be greater than 74.Explanation / Answer
ANSWER:
Option : (C) is correct answer
Explanation:
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 minutes decreases because the variability in the sample mean decrease as the sample size increases.
Therefore the sample mean decreases as the sample size increases then the probability is decreases.