MATH1P98D02FW2016.tp16ot.WeBWork_Assignment_4v1

# MATH1P98D02FW2016.tp16ot.WeBWork_Assignment_4v1 - Tapan...

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Tapan Sanjaykumar Patel MATH1P98D02FW2016 Assignment WeBWork Assignment 4 due 11/11/2016 at 12:37pm EST Problem 1. 1. (1 pt) The following random sample was se- lected from a normal distribution: 5 18 11 4 3 9 15 2 1 7 (a) Construct a 90% confidence interval for the population mean μ . μ (b) Construct a 95% confidence interval for the population mean μ . μ Correct Answers: 4.1953139507171 10.8046860492829 3.42183306334819 11.5781669366518 Problem 2. 2. (1 pt) One of the few negative side effects of quitting smoking is weight gain. Suppose that the weight gain in the 12 months following a cessation in smoking is normally distributed with a standard deviation of 6 pounds. To estimate the mean weight gain, a random sample of 60 quitters was drawn and the sample mean was found to be 28 pounds. Determine the 96% confi- dence interval estimate of the mean 12-month weight gain for all quitters. 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 = Correct Answers: (26.4091720905453,29.5908279094547) Problem 3. 3. (1 pt) (a) A random sample of elementary school children in New York state is selected to estimate the proportion p of school children who have received a medical ex- amination during the past year. The survey found that x = 474 children were examined during the past year. Construct the 95% confidence interval estimate of the population proportion p of school children who have received a medical examination in the past year if the sample size was n = 600 . < p < (b) Which of the following is the correct interpretation for your answer in part (a)?

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