(Solved): Standard Normal Distribution Table (page 1) Next question: Standard Normal Distribution Table (pag ...

Standard Normal Distribution Table (page 1) Next question: Standard Normal Distribution Table (page Standard Normal Distribution Table (page 2) Suppose a geyser has a mean time between eruptions of 83 minutes. If the interval of time between the eruptions normally distributed with standard deviation 17 minutes, answer the following questions. Click here lo view the standard normal distribution table (page 1) Click here lo view the standard normal distribulion table (Dacee2) (a) What is the probability that a randomly selected time interval between eruptions is longer than 90 minutes? The probability that a randomly selected time interval is longer than 90 minutes is approximately (Round to fot decimal places as needed.) What is the probability that a random sample of 10 time intervals between eruptions has a mean Ionger than 90 des? The probability that the mean of a random sample of 10 time intervals is more than 90 minutes is approximately (Round to four decimal places as needed.) (c) What is the probability that a random sample of 40 time intervals between eruptions has a mean longer than 90 minutes? The probability that the mean of a random sample of 40 time intervals is more than 90 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. Choose the correct answer below. A. The probability increases because the variability in the sample mean increases as the sample size increases. B. The nonhahilitv incraases herause the variahilitv in the samnle mean decreases as the samnle size Suppose a geyser has a mean time between eruptions of 83 minutes. If the interval of time between the eruptions normally distributed with standard deviation 17 minutes, answer the following questions Click here to view the standard normal distribution table (page 1). Click here to view the standard normal disfribution table (Dace 2)] (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 increases as the sample size increases B. The probability increases because the variability in the sample mean decreases as the sample size increases. C. The probability decreases because the variability in the sample mean increases as the sample size increases. D. The probability decreases because the variability in the sample mean decreases as the sample size increases. (e) What might you conclude if a random sample of 40 time intervals between eruptions has a mean longer than 90 minutes? Choose the best answer below. A. The population mean is 83 minutes, and this is an example of a typical sampling. B. The population mean cannot be 83 , since the probability is so low. C. The population mean must be more than 83 , since the probability is so low. D. The population mean may be greater than \( 83 . \)