A random survey of 75 death row inmates revealed that the mean length of time on death row is17.8years with a standard deviation of6.7years. Conduct a hypothesis test to determine if the population mean time on death row could likely be 15 years.

• one decimal place. If the standard deviation is not known enter DNE
• State the distribution to use for the hypothesis test. (Enter your answer in the formzort_dfwheredfis the degrees of freedom.)
• Find thep-value. (Round your answer to four decimal places.)

The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least11.52 inches.Ten citiesin the northeast are randomly selected and the mean rainfall amount is calculated to be7.43incheswith a standard deviation of1.3 inches.At the= 0.05 level, can it be concluded that the mean rainfall was below the reported average? Assume the amount of summer rainfall follows a normal distribution.

• State alpha. (Enter an exact number as an integer, fraction, or decimal.)