sec_7_1_and_7_2_sol

# sec_7_1_and_7_2_sol - APPM 4/5570 Solutions to Problems...

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APPM 4/5570 Solutions to Problems from Section 7.1 and 7.2 3. a. Narrower, it only has to be correct in capturing μ for 90% of samples as opposed to 95%. b. The part (b) given in the posted problems was actually the real part (c). Part (b) should have read: “Consider the following statement: There is a 95% chance that μ is between 7 . 8 and 9 . 4. Is this statement correct? Why or why not?” The answer is no, it is not correct. μ is a fixed but unknown number. It is either between 7 . 8 and 9 . 4 or not. It can’t be between those numbers 95% of the time. c. The question here is what was posted in part (b) of the problems. “Con- sider the following statement: We can be highly confident that 95% of all bottles of this type of cough syrup have an alcohol content that is between 7 . 8 and 9 . 4, Is this statement correct? Why or why not?” This statement is not correct. A confidence interval is not about our opinion or how we feel! Also, a confidence interval for μ is an estimate for the population mean μ .

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