This question: 1 point(s) possible 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). Hick here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected time interval between eruptions is longer than 94 minutes? The probability that a randomly selected time interval is longer than 94 minutes is approximately Ill (Round to four decimal places as needed.) (b) What is the probability that a random sample of 14 time intervals between eruptions has a mean longer than 94 minutes? The probability that the mean of a random sample of 14 time intervals is more than 94 minutes is approximately (Round to four decimal places as needed.) K (c) What is the probability that a random sample of 29 time intervals between eruptions has a mean longer than 94 minutes? The probability that the mean of a random sample of 29 time intervals is more than 94 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. If the sample size increases, the probability because the variability in the sample mean (e) What might you conclude if a random sample of 29 time intervals between eruptions has a mean longer than 94 minutes? Select all that apply. A. The population mean is probably less than 85 minutes. B. The population mean is 85 minutes, and this is just a rare sampling. C. The population mean must be less than 85 minutes, since the probability is so low. D. The population mean must be more than 85 minutes, since the probability is so low, E. The population mean is 85 minutes, and this is an example of a typical sampling result. F. The population mean is probably greater than 85 minutes. G. The population mean cannot be 85 minutes, since the probability is so low. (f) On a certain day, suppose there are 26 time intervals for Old Faithful. Treating these 26 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.)