50.1K

Verified Solution

Link Copied!

A random sample of n1 = 16 communities in western Kansas gavethe following information for people under 25 years of age. x1:Rate of hay fever per 1000 population for people under 25 100 91119 127 93 123 112 93 125 95 125 117 97 122 127 88 A random sampleof n2 = 14 regions in western Kansas gave the following informationfor people over 50 years old. x2: Rate of hay fever per 1000population for people over 50 93 109 100 97 110 88 110 79 115 10089 114 85 96

(i) Use a calculator to calculate x1, s1, x2, and s2. (Roundyour answers to two decimal places.) x1 = s1 = x2 = s2 = (ii)Assume that the hay fever rate in each age group has anapproximately normal distribution. Do the data indicate that theage group over 50 has a lower rate of hay fever? Use α = 0.05. (a)What is the level of significance? State the null and alternatehypotheses. H0: μ1 = μ2; H1: μ1 > μ2 H0: μ1 = μ2; H1: μ1 ≠ μ2H0: μ1 = μ2; H1: μ1 < μ2 H0: μ1 > μ2; H1: μ1 = μ2

(b) What sampling distribution will you use? What assumptionsare you making? The standard normal. We assume that both populationdistributions are approximately normal with known standarddeviations. The standard normal. We assume that both populationdistributions are approximately normal with unknown standarddeviations. The Student's t. We assume that both populationdistributions are approximately normal with unknown standarddeviations. The Student's t. We assume that both populationdistributions are approximately normal with known standarddeviations. What is the value of the sample test statistic? (Testthe difference μ1 − μ2. Round your answer to three decimal places.)(c) Find (or estimate) the P-value. P-value > 0.250 0.125