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Suppose a geyser has a mean time between eruptions of 84 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 25 minutes. Complete parts (a) through (e) below. ne (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 0.3446 Tests (Round to four decimal places as needed.) (b) What is the probability that a random sample of 15 time intervals between eruptions has a mean longer than 94 minutes? Activity The probability that the mean of a random sample of 15 time intervals is more than 94 minutes is approximately 0.0607. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 42 time intervals between eruptions has a mean longer than 94 minutes? ok The probability that the mean of a random sample of 42 time intervals is more than 94 minutes is approximately 0.0048 (Round to four decimal places as needed.) nch (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. Fill in the blanks below. Conten Incorrect: 0 If the population mean is less than 94 minutes, then the probability that the sample mean of the time between eruptions is greater than 94 minutes because the variability in the sample mean as the sample size 14) or Succes increases media Lib decreases ase Option Help me solve this View an e nore help Clear all Check