MASTER COPY WEBWORKS 4

MASTER COPY WEBWORKS 4 - Jessica Humphries Assignment...

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Jessica Humphries MATH1P98D02FW2016 Assignment WeBWork Assignment 4 due 11/11/2016 at 12:35pm EST Problem 1. 1. (1 pt) A random sample of 17 size AA batter- ies for toys yield a mean of 3.78 hours with standard deviation, 1.28 hours. (a) Find the critical value for a 99% CI. (b) Find the margin of error for a 99% CI. Answer(s) submitted: 2.575 0.3104456 (incorrect) Correct Answers: 2.921 2.921 * ( 1.28 / sqrt(17)) Problem 2. 2. (1 pt) The number of cars sold annually by used car salespeople is normally distributed with a standard deviation of 16. A random sample of 390 salespeople was taken and the mean number of cars sold annually was found to be 82. Find the 97% confidence interval estimate of the population mean. Note: For each confidence interval, enter your answer in the form (Lower limit, Upper limit). You must include the paren- theses and the comma between the confidence limits. Confidence Interval = Answer(s) submitted: ( (incorrect) Correct Answers: (80.2418115415083,83.7581884584917) Problem 3. 3. (1 pt) A poll is taken in which 338 out of 600 randomly selected voters indicated their preference for a certain candidate. Find a 80% confidence interval for p . p Answer(s) submitted: 0.5189 0.6011 (correct) Correct Answers: 0.537384477946817 0.58928218871985 Problem 4. 4. (1 pt) According to a recent marketing cam- paign, 120 drinkers of either Diet Coke or Diet Pepsi partici- pated in a blind taste test to see which of the drinks was their favourite. In one Pepsi television commercial, an announcer states that ”in recent blind taste tests, more than one half of peo- ple surveyed preferred Diet Pepsi over Diet Coke.” Suppose that out of those 120, 64 preferred Diet Pepsi. Test the hypothesis, using a = 0 . 01, that more than half of all participants will select Diet Pepsi in a blind taste test by giving the following: (a) the test statistic (b) the critical z score The final conclusion is that A. There is not sufficient evidence to conclude that more than half of the surveyed preferred Diet Pepsi over Diet Coke. B. there is sufficient evidence to conclude that more than half of the surveyed preferred Diet Pepsi over Diet Coke. Answer(s) submitted: 2.325 2.325 (score 0.333333343267441) Correct Answers: 0.730296743340221 2.32635 A Problem 5. 5. (1 pt) (a) Find the P - value for the test statis- tic z = 1 . 93 for the following null and alternative hypotheses: H 0 : The population mean is 20. H a : The population mean is less than 20. The P - value is (b) Find the P - value for the test statistic z = 1 . 93 for the
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