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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 n1 − 1 and n2 − 1.)
6. Coke and Pepsi Data Set 26 “Cola Weights and Volumes” in Appendix B includes volumes of the contents of cans of regular Coke (n = 36,
a. Use a 0.05 significance level to test the claim that cans of regular Coke and regular Pepsi have the same
b. Construct the confidence interval appropriate for the hypothesis test in part (a).
c. What do you conclude? Does there appear to be a difference? Is there practical significance?
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Chapter 9 Solutions
Elementary Statistics (13th Edition)
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- Q9. Consider the baseball coefficient of restitution data as follows: 0.6248, 0.6520, 0.6226, 0.623O, 0.6237, 0.6368, 0.6280, 0.6131, 0.6118, 0.6220, 0.6096, 0.6223, 0.6159, 0.6151, 0.6300, 0.6297, 0.6298, 0.6121, 0.6107, 0.6435, 0.6192, 0.6548, 0.6392, 0.5978, 0.6351, 0.6128, 0.6134, 0.6275, 0.6403, 0.6310, 0.6261, 0.6521, 0.6065, 0.6262, 0.6049, 0.6214, 0.6262, 0.6170, 0.6141, 0.6314. Suppose that any baseball that has a coefficient of restitution that equal or exceeds 0.63 is considered too lively. Find a 95% Cl of proportion of too lively. O 0.116 sus 0.384 O 0.039arrow_forwardA sample of 250 employees of a company is selected, and the average age is found to be 35 years. This value is a statistic or parameter.arrow_forward1) Given a collection of data, calculate: Data: x= 0,1,2,3 calculate the standard deviation using the computing formula do the calculation again and use the definitional formulaarrow_forwardq1arrow_forwardAccording to a 2006 survey conducted by the Center for Disease Control and Prevention (CDC), birth rates peak slightly between July and October each year. While a slight numerical increase in birth rates is often observed, this difference is assumed to be statistically non-significant. Thus, we would expect to see an equal number of people born during each month of the year in the United States. The "Birth Data.jasp" contains the birth months for 1380 babies (N = 1380) born during the year 2006 in the United States collected by the CDC. Conduct a Chi-Square Goodness of Fit Test at α = 0.05, to see if the number of babies born each month “fits” with the CDC’s assumptions about the population. Identify the correct null hypothesis. A. H0: The number of babies born throughout the year is equal across all 12 months B. H0: The number of babies born during the summer months is greater than the number of babies born during the rest of the year C. HA: The number of babies born in…arrow_forwardAccording to a 2006 survey conducted by the Center for Disease Control and Prevention (CDC), birth rates peak slightly between July and October each year. While a slight numerical increase in birth rates is often observed, this difference is assumed to be statistically non-significant. Thus, we would expect to see an equal number of people born during each month of the year in the United States. The "Birth Data.jasp" contains the birth months for 1380 babies (N = 1380) born during the year 2006 in the United States collected by the CDC. Conduct a Chi-Square Goodness of Fit Test at α = 0.05, to see if the number of babies born each month “fits” with the CDC’s assumptions about the population. Identify the correct alternative hypothesis A. H0: The number of babies born throughout the year is equal across all 12 months B. HA: The number of babies born in at least one month of the sample is equal to the number of babies born in at least one month of the population C. HA: The…arrow_forwardAccording to a 2006 survey conducted by the Center for Disease Control and Prevention (CDC), birth rates peak slightly between July and October each year. While a slight numerical increase in birth rates is often observed, this difference is assumed to be statistically non-significant. Thus, we would expect to see an equal number of people born during each month of the year in the United States. The "Birth Data.jasp" contains the birth months for 1380 babies (N = 1380) born during the year 2006 in the United States collected by the CDC. Conduct a Chi-Square Goodness of Fit Test at α = 0.05, to see if the number of babies born each month “fits” with the CDC’s assumptions about the population. What is the value of X2-crit? A. 5.72 B. 4.72 C. 19.68 D. 21.92arrow_forwardA. Given the sample 12, 14, 17, 18 and 21. Complete the table Ex= Ex² = B. Solve the following: 1. Range 2. Mean Deviation x² x 3. Variance (use formula A) 4. Standard Deviation (use formula A) Ix-x/ Elx-x/= Ix-x² E/x-xP²=arrow_forwardThe researchers from a study interviewed two random samples, one in 2015 and one in 2018. Both samples were asked "Have you read a print book in the last year?" Use the accompanying results from the study to complete parts (a) through (c). Read a print book Total 9 Yes 2521 1375 No Total 2015 1206 680 1886 p-value= (Round to three decimal places as needed.) 2018 1315 695 2010 a. Find and compare the sample proportions that had read a print book for these two groups. The sample proportion of the 2015 subjects that read a book within the last year is. The sample proportion of the 2018 subjects that read a book within the last year is (Round to four decimal places as needed.) The sample proportion for 2015 is b. Find a pooled estimate of the sample proportion. A pooled estimate of the sample proportion is (Round to four decimal places as needed.) c. Has the proportion who read print books increased? Find the observed value of the test statistic to test the hypotheses Ho: P₁ = P2 and Ha:…arrow_forwardc) Find the standardized test statistic z. (Round to two decimal pla IIarrow_forwardhe accompanying data are x = advertising share and y = market share for a particular brand of cigarettes during 10 randomly selected years. x 0.103 0.073 0.071 0.077 0.086 0.047 0.060 0.050 0.070 0.052 y 0.132 0.126 0.122 0.086 0.079 0.076 0.065 0.059 0.051 0.039 (a) Calculate the equation of the estimated regression line. (Round your answers to six decimal places.)y = Obtain the predicted market share when the advertising share is 0.09. (Round your answer to five decimal places.)(b) Compute r2. (Round your answer to three decimal places.)(c) Calculate a point estimate of ?. (Round your answer to four decimal places.)On how many degrees of freedom is your estimate based?arrow_forwardThe Kyoto Protocol was signed in 1997, and required countries to start reducing their carbon emissions. The protocol became enforceable in February 2005. In 2004, the mean CO2 emission was 4.87 metric tons per capita. Table 7.3.3 contains a random sample of CO2 emissions in 2010 ("CO2 emissions," 2013). Is there enough evidence to show that the mean CO2 emission is lower in 2010 than in 2004? Test at the 1% level. Table #7.3.3: CO2 Emissions (in metric tons per capita) in 2010 1.36 1.42 5.93 5.36 0.06 9.11 7.32 7.93 6.72 0.78 1.80 0.20 2.27 0.28 5.86 3.46 1.46 0.14 2.62 0.79 7.48 0.86 7.84 2.87 2.45 Question 5:)Table #7.3.7 contains pulse rates after running for 1 minute, collected from females who drink alcohol ("Pulse rates before," 2013). The mean pulse rate after running for 1 minute of females who do not drink is 97 beats per minute. Do the data show that the mean pulse rate of females who do drink alcohol is higher than the mean pulse rate of females who do…arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
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