In Exercises 5–20, assume that the two samples are independent simple random samples selected from
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,
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 ED W/MYSTA
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- The article cited in Exercise 4 also investigated the effects of the factors on glucose consumption (in g/L). A single measurement is provided for each combination of factors (in the article, there was some replication). The results are presented in the following table. Glucose Consumption 68.0 -1 -1 -1 -1 -1 77.5 -1 -1 98.0 1. 1. -1 98.0 -1 -1 74.0 -1 77.0 -1 97.0 98.0 Compute estimates of the main effects and the interactions. a. Is it possible to compute an error sum of squares? Explain. Are any of the interactions among the larger effects? If so, which ones? d. Assume that it is known from past experience that the additive model holds. Add the sums of squares for the interactions, and use that result in place of an error sum of squares to test the hypotheses that the main effects are equal to 0. Ъ. C.arrow_forwardJust answer the number 7 and 8 in 4 decimaalarrow_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
- Determine the hypothesis using apa formatarrow_forwardLet X₁, X2,..., be a sequence of independent and identically distributed random variables, each with a mean value x and variance ok, both of which are assumed to be finite. Let N be a discrete random variable independent of X₁, X2,..., and assuming values in the set {0, 1, 2, ...}, with mean value N and variance ok (both are finite). Form the random-compound sum Y=1 Xk, with the convention Y = 0 whenever N = 0.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.…arrow_forwardIn the period of 2010 – 2020 in the United States 1/3 of patients 55 years old or older had a seasonal flu vaccine. The risk of death for a flu-vaccinated person 55 years or older in the following 10 months is 0.6 deaths per 1,000 flu-vaccinated persons 55 years old or older. The risk of death for a non-vaccinated 55 year old or older person in the same 10 month period is 5 deaths per 1,000. Given these numbers, what is the probability that a person 55 years or older in the United States will survive 10 months into that year's flu season?arrow_forwardQ. 5 Explain the importance of direct and indirect standardised death rates.arrow_forward
- A manufacturer knows that their items lifespans are normally distributed according to N(5.1,1.5)N(5.1,1.5).What proportion of the items' lifespans will be longer than 6 years?arrow_forwardA researcher examined automobile accidents by studying whether drivers had been drinking alcohol (yes, no) and the time of the accident (7 a.m., 12 p.m., 6 p.m., or 3 a.m.). How many main effects are possible in this study? 1 3. 4. 8.arrow_forwardIn a previous practice assignment, you learned about a study in which volunteers (who were all around 30 years of age) from the Chicago area wore light sensors to measure their exposure to sunshine. It was found that those who experienced more daylight had lower body mass indexes (BMIs). The study was observational. It was not an experiment, so conclusions about cause and effect could not be made. Let's redesign the observational study described above into an experimental study.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill