3. [2 1 marks]The average weight of newhorn kittens is 3.5 ounces. breeder suspects one of her cats, Stella, produces extra small kittens. The hreeder's suspicions arise from the weights ofStella's most recent litter ofkittens: {3.1. 3.3, 3.0, 3.12.9, 2.9}. Note that the sample mean is x = 3.15 oz. Assume that the standard deviation ofthe weight of all Stella's newhorn kittens is [L3 oz. a] Test at the 5% signicance level whether the average weight ofStella's newhorn kittens is below 3.5 oz. Complete all 6 steps of your hypothesis test, including a discussion of the assumptions. [8 marks] h] Dhtain and interpret a 9% twosided confidence interval for the mean weight of all Stella's newhorn kittens [6 marks] c] Does the interval in part (h) give evidence that the average weight ofStella's newhorn kittens differs from 3.5 oz? Explain. [3 marks] 2 STAT 15] Assignment 4 Toiol: 1 19 marks d] In order for the above inferences to he valid, it is necessary for us to assume the sample is randomly selected from a normally distributed population. Are there any indications that either of these assumptions are violated? Explain. Hint: To check one of these assumptions. you will find it helpful to construct a histogram or a stemandleaf display. [4.- marks]