University:
Skagit Valley College
Course:
MATH 146 | Introduction to Stats
Academic year:

2023
Views:

90

Pages:

6
Author:

M. Hamilton

Name: Miallamilton Math& 146 Fall 2023 Extra Credit Worksheet: 20 points Content: Introductory Statistics, 9.5-12.4 Due: Tuesday, December 5 You may either turn this in at the end of class Tuesday, December 5, or upload a pdf version of your worksheet to Canvas by 11:59pm on Tuesday, December 5. Each problem is worth 10 points. Your final score will be scaled out of 20 points. Problems 1-2: Cigarettes from randomly selected manufacturers were randomly selected. The amount of tar in and the amount of CO (carbon monoxide) produced by those cigarettes was measured. 1) Create a scatter plot for the data below. Does there appear to be a linear relationship between Tar and CO? 2) Do the following State the symbolic form of the claim and each hypothesis. State the correlation coefficient, r (rounded to 3 decimal places) Determine the test statistic (rounded to 2 decimal places). Determine the p-value (rounded to 4 decimal places). State the decision (reject or fail to reject Ho). State the conclusion in non-technical terms. Based the data provided in problem 1, use a 0.05 level of significance to determine if there is cigarecant linear correlation between use a 0.05 level of significmount of carbon monoxide in Decision: Reject Ho Conclusion: There is sufficent evidence to support the claim that there is a significant linear corrlection betucen the amount of tar 3 the amount of Carbon monoxide in cigarettes 5) Do the following State the symbolic form of the claim and each hypothesis, Determine the test statistic (rounded to two-decimal places). Determine the p-value (rounded to 4 decimal places). State the decision (reject or fail to reject Ho). State the conclusion in non-technical terms. Answer the follow-up question (if there is one). IQ scores were recorded from two independent samples. One sample consisted of individuals with low levels of lead in their blood while the other consisted of individuals with high levels of lead in their blood. The summary statistics are presented below. Use a 0.05 significance level to test the claim that the mean IQ score of people with low lead levels is higher than the mean IQ score of people with high lead levels. Group 2 High Lead Level = 86.90 2 Samp T test Group 1 Low Lead Level = 92.88 S15.34 7178 52 = 8.99 712 = 70 A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2823 occupants not wearing seat belts, 31 were killed. Among 7765 occupants wearing seat belts, 16 were killed (based on data from "Who Wants Airbags? By Meyer and Finney, Chance, Vol. 18, No. 2). Use a hypothesis test, at the 0.01 significance level, to test the claim that seat belts are effective in reducing fatalities.