3. (5 points) Cats have a mean weight of 5.3 kg, which is normally distributed. A total of 9 cats from the Hendrix cat colony are sampled and their weights are listed below. We want to determine, at a = 0.1 whether Hendrix cats have a different mean weight. Cat weights (kg): 7.1, 5.0, 5.5, 5.3, 6.2, 4.0, 7.4, 8.0, 5.3 (a) What is the population which is sampled? (b) Is this one or two tailed? two - tailed test (c) Clearly state both the null and alternative hypotheses. Ho: Mo = 5. 3 , Hendrix cats don't have a different mean weight H. : Mo # 5. 3; Hendrix cats have a different mean weight (d) Determine terit and tsamp: Sample has $= 5.98, 3=1.30 5 x = 1. 30 / 79 = 0. 43. terit = 3. 35 5 + samp = ( 5 .9 (e) What decision do you make about your hypotheses? Briefly, interpret this answer in terms of the actual situation - say something specific about weights of Hendrix cats. (f) Construct a 90% confidence interval for the mean weight of a Hendrix cat