.311 (Ringers are good.) Next week he plans to .267 throw 350 shoes. Assume that Bill's tosses sat- .208 isfy the assumptions of Bernoulli trials. (a) Calculate the point prediction of the num- ber of ringers that Bill will obtain next week. .100 .087 .023 .004 .000 .000 (b) Calculate the 90% prediction interval for the number of ringers Bill will obtain next 1 2 3 4 6 7 8 week. .397 (c) It turns out that next week Bill obtains 64 ringers. Given this information, comment on your answers in parts (a) and (b). .255 .238 25. Bert computes a 95% confidence interval for p and obtains the interval [0.600, 0.700]. Note: Parts (a) and (b) are not connected: Part (b) can .054 .051 be answered even if one does not know how to 0.004 do part (a). 1 2 3 4 6. 8 (a) Bert's boss says, "Give me a 90% confi- dence interval for p." Calculate the answer 21. A random sample of size n = 250 yields 80 for Bert. successes. Calculate the 95% confidence inter- (b) Bert's boss says, "Give me a 95% confi- dence interval for p-q." Calculate the an- swer for Bert. (Hint: p-q= p-(1-p) = 2p – 1. Bert's interval says, in part, that "p is at least 0.600;" what does this tell us about 2p – 1?) val for p. 22. A random sample of size n = 452 yields 113 successes. Calculate the 95% confidence inter- val for p. 23. George enjoys throwing horse shoes. Last week he tossed 150 shoes and obtained 36 ringers. (Ringers are good.) Next week he plans to throw 250 shoes. Assume that George's tosses satisfy the assumptions of Bernoulli trials. 26. Maggie computes a 95% confidence interval for p and obtains the interval [0.50,0.75]. Note: Parts (a) and (b) are not connected: Part (b) can be answered even if one does not know how to do part (a). (a) Calculate the point prediction of the num- ber of ringers that George will obtain next (a) Maggie's boss says, "Give me a 95% con- fidence interval for p2." Calculate the an- swer for Maggie. (Hint: The interval says, in part, that "p is at most 0.75;" what does this tell us about p2?) week. (b) Calculate the 90% prediction interval for the number of ringers George will obtain next week. (b) Maggie's boss says, "Give me a 95% con- fidence interval for p – q." Calculate the answer for Maggie. (Hint: p – q = p - (1 – p) = 2p – 1. The interval says, in part, that "p is at most 0.75;" what does this tell us about 2p – 1?) (c) It turns out that next week George obtains 62 ringers. Given this information, com- ment on your answers in parts (a) and (b). 24. Bill enjoys throwing horse shoes. Last week he tossed 140 shoes and obtained 28 ringers.