Suppose a oeyser has a mean time between eruptions of 64 minutes. Let the interval of time between the eruplions bể normally distibuted With standard devlatio 12 minutes. Complete parts (a) through (e) below. (b) What is the probability that a random sample of 6 time intervals between eruptions has a mean longer than 70 minutes? The probability that the mean of a random sample of 6 time intervals is more than 70 minutes is approximately. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 23 time intervals between eruptions has a mean longer than 70 minutes? The probability that the mean of a random sample of 23 time intervals is more than 70 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. Fill in the blanks below. If the population mean is less than 70 minutes, then the probability that the sample mean of the time between eruptions is greater than 70 minutes because the variability in the sample mean V as the sample size

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