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Suppose a geyser has a mean time between eruptions of 66 minutes Let the interval of time between the oruptions be normally distributed with standard deviation 22 minutes Complete parts (a) through (e) below CBD (a) What is the probability that a randomly selected time interval between eruptions is longer than 76 minutes? The probability that a randomly selected time interval is longer than 76 minutes is approximately (Round to four decimal places as needed) (b) What is the probability that a random sample of 13 tme intervals between eruptions has a mean longer than 76 minutes? The probability that the mean of a random sample of 13 time intervals as more than 16 minutes is approximately (Round to four decimal places as needed) te) What is the probability that a random sample of 27 time interval between eruptions has a mean longer than 6 minutos? The probability that the mean of a random sample of 27 time intervals is more than 70 minuten is approximately in (Round to four decimal places as needed (d) What ottect dos increasing the sample sizo have on the probabilty? Provide an explanation for this result, Fil in the blanks below If the population mean is less than 76 minutes, then the probability that the sample moan of the time between eruptions is greater than 76 minutos because the variability in the sample mean as the sample size (e) What might you concludo if a random sample of 27tme intervals between eruptions has a mean longer than 76 minutos? Sed all that apply A The population mean may be less than 00 OB. The population mean must be less than 66 since the probability is so low Statcrunch Next

ca. De woonruptions of a minutes to the interval of time between the eruptions be normally distnbuted with standard deviation 22 minutes Complete parts(a) through (e) below (Round to four decimal places as needed) (c) What is the probability that a random sample of 27 time intervals between eruptions has a mean longer than 76 minutes? The probability that the mean of a random sample of 2 time intervals is more than 70 minutes is approximately LT (Round to four decimal places as needed (d) What effect does increasing the sample szo have on the probably provide an explanation for this result Fit in the blanks bolow in the population mean is tess than 76 minutos, then the probability that the samplo mean of the time between eruptions is greater than 76 minutos because the variability in the sample mean as the sample size () What might you conclude a random sample or 27 km intervals between oruptions has a moon longer than 70 minutes? Select all that apply OA The population mean may be less than 66 The population mean must be less than 66, since the probably so low The population mean must be more than 00snice the probability is so low OD The population mean s06, and this is an example of a typical samping resut DE The population mean may be greater than 66 DF The population mean is 66, and this is just a rare sampling EG The population man cannot be 66, since the probabaty is so low Next Statcrunch