Statistics Exam

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Mathematics

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Week 11 Objectives

Upon completion of this lesson, you will be able to:

  • This weeks contains FINAL EXAM QUESTIONS

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14. A study of college football games shows that the number of holding penalties assessed has a mean of 2.3 penalties per game and a standard deviation of 1.1 penalties per game. What is the probability that, for a sample of 40 college games to be played next week, the mean number of holding penalties will be 2.05 penalties per game or more? 15. Let Z be a standard normal random variable. Use the calculator provided to determine the value of C such that =P≤−c≤Zc0.9534. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places. 16. A laboratory in Alaska is interested in finding the mean chloride level for a healthy resident in the state. A random sample of 70 healthy residents has a mean chloride level of 102mEq/L. If it is known that the chloride levels in healthy individuals residing in Alaska have a standard deviation of 38mEq/L, find a 90% confidence interval for the true mean chloride level of all healthy Alaska residents. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. 17. • • Consider a t distribution with degrees of freedom. Compute decimal places. . Round your answer to at least three Consider a t distribution with degrees of freedom. Find the value of such that decimal places. . Round your answer to at least three 18. 19. 20. 21. 22. A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, were given multivitamin tablets daily which contain of them grams of vitamin C and various other vitamins and minerals. The remaining volunteers were given placebo tablets. For each individual, the length of time taken to recover from cold is recorded. At the end of the experiment following data are obtained: Days to recover from cold Treated with multivita min Treated with placebo , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , Send data to Excel It is known that the population standard deviation of recovery time from cold is days when treated with multivitamin, and the population standard deviation of recovery time from cold is days when treated with placebo tablets. It is also known that both populations are approximately normally distributed. The researchers claim that the mean recovery time, , of the patients treated with multivitamin is not equal to the mean recovery time , of the patients who are treated with placebo tablets. At the level of significance, is there enough evidence to support this claim? Perform a twotailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) 23. 24. Might we be able to predict life expectancies from birthrates? Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both , the number of births per one thousand people in the population, and , the female life expectancy (in years), are given. Also shown are the scatter plot for the data and the least-squares regression line. The equation for this line is . 25. An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The following bivariate data on twelve recent campaigns, including the cost of each campaign (denoted by , in millions of dollars) and the resulting percentage increase in sales (denoted by ) following the campaign, were presented by the firm. A scatter plot of the data is shown in Figure 1. Also given are the products of the values for campaign cost and values for percentage increase in sales for each of the twelve campaigns. (These products, written in the column labelled " aid in calculations.) ," may
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