Question;STAT;251G;Online;Class;Exam;3 Part 2;Name;Date;1. A food snack manufacturer samples 11;bags of pretzels off the assembly line and weighs their contents. If the sample mean is 13.2 oz. and the sample;standard deviation is 0.60 oz., find the 95% confidence interval of the true;mean. Show all work.;2. A random sample of;magnesium concentrations (in parts per million, or ppm) in ground water from;various locations follows. Estimate the mean concentration of magnesium in ppm;with 90% confidence. Show all work. You may use your calculator to find the mean;and standard deviation.;45;104;16;102;48;58;9;110;61;16;57;90;70;123;81;117;40;5;50;59;3. A;survey of 800 women shoppers found that 17% of them shop on impulse. What is the 98% confidence interval for the;true proportion of women shoppers who shop on impulse?;4. A manufacturer claims that its;televisions have an average lifetime of at least five years (60 months) with a population;standard deviation of seven months.;Eighty-one televisions were selected at random, and the average lifetime;was found to be 59 months. With? = 0.05, is the manufacturer's claim;supported? Conduct five-step hypothesis;testing.;5.;Science fiction novels average 310 pages in length. The average length of 14 randomly chosen;novels written by I. M. Wordy was 375 pages in length with a standard deviation;of 40. At =.05, are Wordy's;novels significantly longer than the average science fiction novel?;Conduct;five-step hypothesis testing.;6.;Two allergists recorded the main area of;allergy for new patients during a month.;At, test the claim that the allergy diagnosis and the doctor;that treated the patients are independent.;Allergies;Pollen;Food;Mold;Pets;Doctor 1;8;6;5;7;Doctor 2;34;6;6;24;7. From the Data Bank in Appendix D;choose two variables that you think might be related, such as exercise and weight;or IQ and educational level.;Performa;complete correlation and regression analysis.;Use Minitab or Excel to do the calculations and the graphs, but you must;still conduct the hypothesis testing.;a. Draw a scatterplot;b. Compute the correlation coefficient;c. Use hypothesis testing to determine if;r is significant.;d. Find the regression line if r is;significant.;e. Summarize the results, include your;personal reaction to the results.;8. Suppose a school superintendent reads an;article which states that the overall mean score for the SAT is 910. He does;some research and collects data on a sample of his students. He discovered that the average is 960. The superintendent calls the local newspaper;to report that his students have scored much higher than the national;average. Is he correct? Explain your reasoning. What else should be considered in his claim.
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