Question 7 4 pts Which oitne foIEowtng statements is TRUE? 0 The Poisson distribution with parameter u may be approximated by a normal distribution With the same mean and variance N(u u) M when U is at most 30 O The Poisson distribution with parameter u may be approximated by a normal distribution With the same mean and variance: N(p, p), when u is at least 30 O The binomial distribution With parameters ii and p may he approxrmated bya normal dlSlilDLlIlDl'l With the same mean and variance Ninp' ripd) when both rip and no are at most 5 Here a = I , p O The binomial distribution With parameters n and p may be approxrmated Dya normal distribution With the same mean and variance N(npq, npz), when both no and no are at least 5. Here q : 1 , p. Question 8 8 pts Ari instructor for a statistics course collected data an the weight (in grammesl of humming birds. Her sample comprises 225 birds drawn at random from areas alt across the country. The students in the stahscs course were divided into three groups and assigned to construct a 95% condence interval estimate for the average weight it [in g) of a humming bird using all the information in the data set. The condence intervals obtained were: Group A: 2.944 S p. S 3.992 Group B: 2.914 S u S 3.957 Group c: 2.935 g u g 3.065 itturhed outthzil aii the three intervals were theoretically valid. That is, they aii had 95% coverage probability. (3) Which of the three intewals, ifariy, would you prefer to use? Answer: [sum] v lb) Can you say something about the sample standard deviation. s? Answer: l Select] v