I need help with all the questions shown plus one that wouldn't fit in the picture sketch the sampling distribution and show the area corresponding to the P-value

G SPS Programs Online Locker: Virtu... = Untitled document-_. G kji - Google Search Spanish A random sample of n, = 16 communities in western Kansas gave the following Information for people under 25 years of age. x, : Rate of hay fever per 1000 population for people under 25 97 92 120 130 91 123 112 93 125 95 125 117 97 122 127 88 A random sample of n,, = 14 regions In western Kansas gave the following Information for people over 50 years old. x: Rate of hay fever per 1000 population for people over 50 94 108 100 96 110 88 110 79 115 100 89 114 85 96 (1) Use a calculator to calculate x, , s,, x,, and s,. (Round your answers to two decimal places.) 51= (Il) Assume that the hay fever rate in each age group has an approximately normal distribution, Do the data Indicate that the age group over 50 has a lower rate of hay fever? Use HHHH OHOH , = HH HH, OHH HH HH (b) What sampling distribution will you use? what assumptions are you making? O The Student's f. We assume that both population distributions are approximately normal with unknown standard deviations. The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. The standard normal. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. What is the value of the sample test statistic? (Test the difference u, - J.. Round your answer to three decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 O Q.125