Homework ReviewBag A and Bag BPossible Decision RulesDecision Rule #1Decision Rule #2Decision Rule #3AssignmentAnswers to Even-Numbered ProblemsWhat’s in the Bag?Lecture 4Sections 1.4.1-1.4.2Robb T. KoetherHampden-Sydney CollegeTue, Jan 19, 2010Robb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 1 / 41Outline1Homework Review2Bag A and Bag B3Possible Decision RulesDecision Rule #1Decision Rule #2Decision Rule #34Assignment5Answers to Even-Numbered ProblemsRobb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 2 / 41Outline1Homework Review2Bag A and Bag B3Possible Decision RulesDecision Rule #1Decision Rule #2Decision Rule #34Assignment5Answers to Even-Numbered ProblemsRobb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 3 / 41Homework ReviewExercise 1.11, p. 67.A consumer protection agency received many complaints that thesodium content in a six-ounce can of Star Kist tuna is greater then the250 mg that is stated on the label of each can. In response to thesecomplaints, the protection agency tested the following hypotheses:H0: The average sodium content of all six-ounce cans is 250 mg.H1: The average sodium content of all six-ounce cans is greater than250 mg.The data from the study were not statistically significant.Robb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 4 / 41Homework ReviewExercise 1.7, p. 68.(a) What hypothesis was supported?The null hypothesis was supported.(b) Was a complaint registered with the provider, the Star Kist Co.?No.(c) Could a mistake have been made? If so, describe the mistake.Yes, a Type II error could have been made. A Type II error wouldbe to conclude that the average sodium content of all six-ouncecans is greater than 250 mg when, in fact, it is equal to 250 mg.Robb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 5 / 41Homework ReviewExercise 1.7, p. 68.(a) What hypothesis was supported?The null hypothesis was supported.(b) Was a complaint registered with the provider, the Star Kist Co.?No.(c) Could a mistake have been made? If so, describe the mistake.Yes, a Type II error could have been made. A Type II error wouldbe to conclude that the average sodium content of all six-ouncecans is greater than 250 mg when, in fact, it is equal to 250 mg.Robb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 5 / 41Homework ReviewExercise 1.7, p. 68.(a) What hypothesis was supported?The null hypothesis was supported.(b) Was a complaint registered with the provider, the Star Kist Co.?No.(c) Could a mistake have been made? If so, describe the mistake.Yes, a Type II error could have been made. A Type II error wouldbe to conclude that the average sodium content of all six-ouncecans is greater than 250 mg when, in fact, it is equal to 250 mg.Robb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 5 / 41Homework ReviewExercise 1.7, p. 68.(a) What hypothesis was supported?The null hypothesis was supported.(b) Was a complaint registered with the provider, the Star Kist Co.?No.(c) Could a mistake have been made? If so, describe the mistake.Yes, a Type II error could have been made. A Type II error wouldbe to conclude that the average sodium content of all six-ouncecans is greater than 250 mg when, in fact, it is equal to 250 mg.Robb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 5 / 41Homework ReviewExercise 1.7, p. 68.(a) What hypothesis was supported?The null hypothesis was supported.(b) Was a complaint registered with the provider, the Star Kist Co.?No.(c) Could a mistake have been made? If so, describe the mistake.Yes, a Type II error could have been made. A Type II error wouldbe to conclude that the average sodium content of all six-ouncecans is greater than 250 mg when, in fact, it is equal to 250 mg.Robb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 5 / 41Homework ReviewExercise 1.7, p. 68.(a) What hypothesis was supported?The null hypothesis was supported.(b) Was a complaint registered with the provider, the Star Kist Co.?No.(c) Could a mistake have been made? If so, describe the mistake.Yes, a Type II error could have been made. A Type II error wouldbe to conclude that the average sodium content of all six-ouncecans is greater than 250 mg when, in fact, it is equal to 250 mg.Robb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 5 / 41Outline1Homework Review2Bag A and Bag B3Possible Decision RulesDecision Rule #1Decision Rule #2Decision Rule #34Assignment5Answers to Even-Numbered ProblemsRobb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 6 / 41Two BagsTwo bags contain vouchers with various dollar values.10 605040302010 6050403020Bag ABag BRobb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 7 / 41Two BagsThe vouchers in Bag A are worth $470.The vouchers in Bag B are worth $930.You get to choose whichever bag you want, cash in the vouchers,and keep the money.Which bag should you choose?Oh, one more thing...The bags are indistinguishable from the outside and you are notallowed to look inside.However, you may reach inside, choose one voucher, and read itsvalue.Robb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 8 / 41Two BagsThe vouchers in Bag A are worth $470.The vouchers in Bag B are worth $930.You get to choose whichever bag you want, cash in the vouchers,and keep the money.Which bag should you choose?Oh, one more thing...The bags are indistinguishable from the outside and you are notallowed to look inside.However, you may reach inside, choose one voucher, and read itsvalue.Robb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 8 / 41Two BagsThe vouchers in Bag A are worth $470.The vouchers in Bag B are worth $930.You get to choose whichever bag you want, cash in the vouchers,and keep the money.Which bag should you choose?Oh, one more thing...The bags are indistinguishable from the outside and you are notallowed to look inside.However, you may reach inside, choose one voucher, and read itsvalue.Robb T. Koether (Hampden-Sydney College) What’s in the Bag? Tue, Jan 19, 2010 8 / 41Two BagsThe vouchers in Bag A are worth $470.The vouchers in Bag B are worth $930.You get to choose whichever bag you want, cash in the vouchers,and keep the money.Which bag should you choose?Oh, one more
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