1350 Final Exam 1-1 (1)
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University of New Mexico, Main Campus *
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1350
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Mathematics
Date
Apr 3, 2024
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3
Uploaded by AgentMeerkat4229
Math 1350 N. Lucas Exam #1 300 points YOUR COMPLETED EXAM MUST BE RECEIVED BY THE INSTRUCTOR VIA EMAIL NO LATER THAN 11:59P.M., THURSDAY, DECEMBER 14, 2023
You may use all class resources to assist you in completing this exam, including lecture notes and lecture videos. You may also work with other students from your class in completing this exam. However, you may not work with anyone else in completing this exam (e.g., tutor or other students not currently enrolled in your section of Math 1350). The work you show for this exam must be your own. You must submit all answers using Word and submit all Excel output in order to receive any credit. Be sure to clearly label all work and answers.
Use the following description to answer questions 1, 2, and 3. A business manager wanted to know if there was a relationship between daily temperature measured in degrees Fahrenheit and number of employees who called-in sick each day. He collected the following data over 10 days: Daily Temperature: 35 47 31 50 48 62 85 26 43 31 # Called-in Sick: 33 32 30 37 34 28 31 27 31 26 1. A. Obtain the mode, median, and mean for Daily Temperature only. B. Obtain the range for Daily temperature. C. Find the standard deviation for Daily temperature. D. Provide an interpretation for your answer to part C. E. What is the z-score for the daily temperature of 54? F. Provide an interpretation of the z-score obtained in part E. G. What percentage of temperatures are expected to be in the range z = -.70 to z = +1.40? H. Obtain a histogram with four intervals for the Daily Temperature data only. 2. a. Find the value of the correlation coefficient (
r
) for Daily Temperature and # Called-in Sick. b. What does the null hypothesis expect for the problem described. (Be sure to use the variables given in the problem.) c. Conduct a statistical test of the null hypothesis using p
= .05. Be sure to properly state your statistical conclusion. d. Provide an interpretation of your statistical conclusion given in part C. e. What is the value of the coefficient of determination? f. Provide an interpretation of your answer to Part E. Final Exam
3. Use the Daily Temperature (X-variable) and Called-in Sick (Y-Variable) Data to answer the following questions. a. What is the value of the slope of the regression line? b. What is the value of the y-intercept? c. Provide an interpretation of your answer to part B. d. What is the final form of the regression line (i.e., y’ = a + b(x))?
e. Use Excel to obtain a scatterplot of the data with the regression line embedded in it. f. What is the predicted number of employees that will call-in sick on a day that is 38 degrees Fahrenheit? 4. A medical researcher conducted a study which investigated the proper or improper use of CPR during cardiac arrest and the survival rate. The following data were collected. Survived Did not survive CPR Properly Done 15 258 CPR Improperly Done 9 354 a. What does the null hypothesis predict for the problem described above? b. Conduct a statistical test of the null hypothesis using p
= .05. Be sure to properly state your statistical conclusion. c. Provide an interpretation of your statistical conclusion to part B. 5. A graduate student believed that, on the average, college students spend more time on the Internet compared to the rest of the population. She conducted a study to determine if her hypothesis was correct. The student randomly surveyed 25 students and found that the average amount of time spent on the Internet was 10 hours per week with a SD = 2 hours. The last census found that, on the average, people spent 11 hour per week on the Internet. a. What does the null hypothesis predict for the problem described above. (Be sure to use the variables given in the description.) b. Conduct a statistical test of the null hypothesis using p
= .05. c. Provide an interpretation of your statistical conclusion to part B. d. What type of statistical error might you have made in part C. e. Obtain the 95% confidence interval for the sample statistic. f. Provide an interpretation for the interval obtained in part E. 6. The administration of a speech and hearing clinic conducted a study to determine if their clients were evenly divided between men and women. The study of all clients found there were 35 men and 18 women. a. What does the null hypothesis predict for the problem described above. b. Conduct a statistical test of the null hypothesis using p
= .05. Be sure to properly state your statistical conclusion. c. Provide an interpretation of your statistical conclusion to part B.
7. It has often been suggested that elements in our environment can provide cues for recalling past information. For example, a hypothetical study examined the effect of a specific perfume scent on students’ abilities to recall a set of objects. A random samp
le of 18 subjects was randomly assigned to one of two conditions: 1) Nine subjects memorized and then recalled a set of objects while a scent was present in the air. 2) The other nine subjects memorized and then recalled a set of objects when the scent was not present. The following data were collected: Scent 25 25 29 32 22 31 29 27 28 No Scent 17 24 17 25 12 17 23 20 21 a. Describe the independent variable and its levels. b. Describe the dependent variable and its scale of measurement (N.O.I.R.) c. What does the null hypothesis predict for the problem described above. (Be sure to use the variables given in the description.) d. Conduct the appropriate statistical test of the null hypothesis using p
= .05. e. Provide an interpretation of your statistical conclusion to part D. f. Obtain the 95% confidence interval for the sample statistic. g. Provide an interpretation for the interval obtained in part F. h. How could the statistical power of this study be improved (or increased)?
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