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*In Exercises 5–20, assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. (Note: Answers in Appendix D include technology answers based on Formula 9-1 along with “Table” answers based on Table A-3 with df equal to the smaller of n _{1} − 1 and n_{2} − 1.)*

**5. Regular Coke and Diet Coke** Data Set 26 “Cola Weights and Volumes” in Appendix B includes weights (lb) of the contents of cans of Diet Coke (*n* = 36,
*s* = 0.00439 lb) and of the contents of cans of regular Coke (*n* = 36,
*s* = 0.00751 lb).

**a.** Use a 0.05 significance level to test the claim that the contents of cans of Diet Coke have weights with a

**b.** Construct the confidence interval appropriate for the hypothesis test in part (a).

**c.** Can you explain why cans of Diet Coke would weigh less than cans of regular Coke?

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# Chapter 9 Solutions

Essentials of Statistics (6th Edition)

# Additional Math Textbook Solutions

Statistics: The Art and Science of Learning from Data (4th Edition)

An Introduction to Mathematical Statistics and Its Applications (6th Edition)

Intro Stats, Books a la Carte Edition (5th Edition)

Introductory Statistics

Basic Business Statistics, Student Value Edition

- 10 – 11. Margaret, an archeologist, is conducting a test to determine if there is a positive linear relationship between the total height of a dinosaur and its leg length. Her random sample of 15 dinosaur total heights (in feet) and leg lengths (in feet) produced the results shown in the following TI calculator screen. Use the TI calculations in the screen shot to help you answer questions: 10 & 11. LinReg y=a+bx a=28.67845743 b=5.639892354 r=559696513 r=.7481286741 10. What would you predict for a dinosaur's total height (to 2 decimal places) in feet, if the leg length is 5.8 feet? a) 61.39 feet b) 28.68 feet c) 114.99 feet d) 61.33 feet e) 74.81 feet 11. What percent of variation in the dinosaur's total height can be accounted for by the variation in the dinosaur's leg length? a) 28.68% b) 5.64%% c) 55.97% d) 74.81% e) none of these
*arrow_forward*(a) For United States, provide data for the variables below over the years 1993 –2007:(i) Net migration rate (per 1,000 population)(ii) Total fertility rate (live births per woman)(iii)Unemployment, general level (Thousands)(iv) Wages(v) Life expectancy at birth for both sexes combined (years)Data can be obtained from the UN database http://data.un.org/Explorer.aspxUsing R-Studio, estimate a regression equation to determine the effect of unemployment,general level, wages and life expectancy at birth for both sexes on the net migration rate.(All codes and regression output should be provided).(i) Write down the regression equation. (ii) Interpret the coefficients and determine which of the individual coefficients in theregression model are statistically significant. In responding, construct and test anyappropriate hypothesis. (iii) Interpret the coefficient of determination.*arrow_forward*A clinical psychologist is interested in the relationship between testosterone level in married males and the quality of their marital relationship. A study is conducted in which the testosterone levels of eight married men are measured. The eight men also fill out a standardized questionnaire assessing quality of marital relationship. The questionnaire scale is 0–25, with higher numbers indicating better relationships. Testosterone scores are in nanomoles/liter of serum. The data are shown below. Subject Number 1 2 3 4 5 6 7 8 Relationship Score 24 15 15 10 19 11 20 19 Testosterone Level 12 13 19 25 M 16 15 21 a. Determine the least-squares regression line for predicting relationship score from testosterone level. b. What percentage of the variance in relationship score is accounted for by the regression equation? c. Can we conclude that there is a significant relationship between the testosterone level…*arrow_forward* - Scenario: Does emotional intelligence vary based on the type of preschool a child attends? A researcher collects data on 300 four-year-olds who attend different local types of preschools. The researcher was able to collect data from four different types of preschools - Montessori, Waldorf, Parent Co-ops, and religious preschools. Emotional intelligence was quantified using the self-report Bar-On EQ-I, which ranges from 0 — 110, and is considered "scale" in nature. Assume data meets all assumptions for a parametric test. Question: Which of the following best describes the scenario? Between-subjects Within-subjects Mixed design
*arrow_forward*Scenario: Does emotional intelligence vary based on the type of preschool a child attends? A researcher collects data on 300 four-year-olds who attend different local types of preschools. The researcher was able to collect data from four different types of preschools - Montessori, Waldorf, Parent Co-ops, and religious preschools. Emotional intelligence was quantified using the self-report Bar-On EQ-I, which ranges from 0 — 110, and is considered "scale" in nature. Assume data meets all assumptions for a parametric test. Question: What is the null hypothesis for this scenario?*arrow_forward*(a) For United States, provide data for the variables below over the years 1993 – 2007: (i) Net migration rate (per 1,000 population) (ii) Total fertility rate (live births per woman) (iii)Unemployment, general level (Thousands) (iv) Wages (v) Life expectancy at birth for both sexes combined (years) Data can be obtained from the UN database http://data.un.org/Explorer.aspx Using R-Studio, estimate a regression equation to determine the effect of unemployment, general level, wages and life expectancy at birth for both sexes on the net migration rate. (All codes and regression output should be provided). (iv) Using the 10% level of significance, determine and discuss whether the overall regression equation is statistically significant. In responding, construct and test any appropriate hypothesis. (v) Determine and interpret the confidence interval for the independent variable(s).*arrow_forward* - (a) For United States, provide data for the variables below over the years 1993 – 2007: (i) Net migration rate (per 1,000 population) (ii) Total fertility rate (live births per woman) (iii)Unemployment, general level (Thousands) (iv) Wages (v) Life expectancy at birth for both sexes combined (years) Data can be obtained from the UN database http://data.un.org/Explorer.aspx Using R-Studio, estimate a regression equation to determine the effect of unemployment, general level, wages and life expectancy at birth for both sexes on the net migration rate. (All codes and regression output should be provided).(b) Using R-Studio redo the regression analysis with the total fertility rate as an additionalindependent variable. (All codes and regression output should be provided).(i) Write down the regression equation. (ii) Use the 5% level of significance, determine and discuss whether the total fertilityrate has a significant impact on the net migration rate in your assigned country.…
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*arrow_forward*You may need to use the appropriate technology to answer this question. An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were us blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Compact 50 41 Car Intermediate 54 44 Full-sized 64 47 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. O Ho: MCompact = "Intermediate = "Full-sized H: "Compact *"Intermediate * Full-sized O Ho: "Compact * "Intermediate * Full-sized H: "Compact = "Intermediate "Full-sized O Ho: "Computerized = HElectronic H: "Computerized * "Electronic O Ho: "Computerized = "Electronic = "Compact = 4Intermediate = "Full-sized H: Not all the population means are equal. O Ho: "Computerized *…*arrow_forward*In Exercises 5–12, identify whether the given value is a statistic or a parameter. Birth Genders In the same study cited in the preceding exercise, 51% of the babies were girls.*arrow_forward*

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