An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. 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. Complete parts (a) and (b). a. Use a 0.05 significance level to test the claim that giving candy does result in greater tips. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H1 H₂ OC. Ho: H₁ C H₂ H₁: Hy > H₂ No candy Two candies OB. Ho: H₁ H₂ H₁: H1
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D. Does the confidence interval support the conclusion with the hypothesis test?
No or yes because the confidence interval contains zero, only positive values, or negative values.
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- Suppose a researcher wants to estimate the population proportion of defective light bulbs. He took a random sample of 800 light bulbs and 40 of them found out to be defective. Suppose the researcher decided to determine the 95% confidence interval estimate of the defective proportion. What is the 95% confidence interval of the defective proportion? (round your answer to three decimal places.)The full question for part B is written down below. (b) The 90% confidence interval is (__,__). It does/does not seem likely that the population mean could be within 8% of the sample mean because 8% off from the sample mean would fall outside/inside the confidence interval. It does not/does seem likely that the population mean could be within 9% of the sample mean because 9% off from the sample mean would fall outside/inside the confidence interval.The following data represent petal lengths (in cm) for independent random samples of two species of iris. Petal length (in cm) of Iris virginica: xn, 36 5.0 6.3 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.8 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.7 5.1 5.1 Petal length (in cm) of Iris setosa x n38 1.4 1.8 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.4 1.7 1.0 1.7 1.9 1.6 14 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.6 1.5 1.4 1.4 1.6 1.2 1.9 1.5 1.6 1.4 1.3 1.7 1.5 1.5 A USE SALT
- Male BMI Female BMI H2 Given in the table are the BMI statistics for random samples of men and women. 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. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. 44 44 27.2839 24.5463 7.155619 4.932995 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? O A. Ho: H1 =H2 H1: Hy > H2 B. Ho: H1 # H2 H1: H1Explain what "98% confidence" means in a 98% confidence interval, What does "98% confidence" mean in a 98% confidence interval? O A. If 100 different confidence intervals are constructed, each based on a different sample of sizen from the same population, then we expect 98 of the intervals to include the parameter and 2 to not include the parameter. O B. The probability that the value of the parameter lies between the lower and upper bounds of the interval is 98%. The probability that it does not is 2%. O C. The confidence interval includes 98% of all possible values for the parameter. O D. The value of the parameter lies within 98% of a standard deviation of the estimate. O Time Remaining: 02:19:13 Next MacBook Pro G Search or type URL esc & #3 %24 7 8 4 1 T YHere are summary statistics for randomly selected weights of newborn girls: n= 181, x = 31.8 hg, s = 7.7 hg. Construct a confidence interval estimate of the mean. Use a 90% confidence level. Are these results very different from the confidence interval 30.9 hg <µ< 33.5 hg with only 20 sample values, x 32.2 hg, and s =3.4 hg? What is the confidence interval for the population mean u? hgSuppose the confidence interval (0.6358, 0.7532) represents the proportion of Skyline College students who say math is their favorite subject. a. Based on the confidence interval, is it likely 60% of Skyline College students say math is their favorite subject? Yes, all the interval values are greater than 0.60 Yes, 0.60 is not contained in the interval No, 0.60 is not contained in the interval b. Based on the confidence interval, does it appear that more than 60% of Skyline College students say math is their favorite subject? Yes, 0.60 is not contained in the interval Yes, all the interval values are greater than 0.60 No, 0.60 is not contained in the interval c. Based on the confidence interval, does it appear that fewer than 60% of Skyline College students say math is their favorite subject? No, all the interval values are greater than 0.60 Yes, all the interval values are greater than 0.60 No, 0.60 is not contained in the intervalA95% confidence interval for p, the true proportion of all shoppers at a large grocery store who purchase 2% milk, was found to be (0.436, 0.582). Given that all conditions were met, which of the following is the most appropriate conclusion? O Based upon these data, at least 58.2% of shoppers purchase 2% milk. O Based upon these data, less than 50%% of shoppers purchase 2% milk. O Based upon these data, the majority of shoppers purchase 2% milk. O Based upon these data, at least 43.6% of shoppers purchase 2% milk. O Based upon these data, 95% of shoppers purchase 2% milk. * PreviousSuppose the confidence interval (0.6358, 0.7532) represents the proportion of Skyline College students who say math is their favorite subject. a. Based on the confidence interval, is it likely 60% of Skyline College students say math is their favorite subject? No, 0.60 is not contained in the interval Yes, all the interval values are greater than 0.60 Yes, 0.60 is not contained in the interval b. Based on the confidence interval, does it appear that more than 60% of Skyline College students say math is their favorite subject? No, 0.60 is not contained in the interval Yes, 0.60 is not contained in the interval Yes, all the interval values are greater than 0.60 c. Based on the confidence interval, does it appear that fewer than 60% of Skyline College students say math is their favorite subject? No, all the interval values are greater than 0.60 Yes, all the interval values are greater than 0.60 No, 0.60 is not contained in the intervalA 95% confidence interval for the proportion of students achieving a reading achievement score that is above the standard set by the teachers for a population of third grade students is (0.43, 0.49). Which is the correct interpretation of the confidence interval? a)95% of the third grade students scores between 43% and 49% of the reading achievement score. b)We are 95% confident that 43% to 49% of elementary school students achieves reading achievement score above the standard. c)We are 95% confident the true proportion of third grade students achieves reading achievement score above the standard is between 43% to 49% d)We are 95% confident that 43% to 49% of the sample of third graders achieves reading achievement score above the standard.56 2.) What does the confidence interval suggest about farmer Joe's claim that type 1 seed is better than type 2 seed? A. Because the confidence interval only includes positive values and does not includes positive values and does not include zero, there is sufficient evidence to support farmer Joe's claim. B. Because the confidence interval includes zero, there is sufficient evidence to support farmer Joe's claim. C. Because the confidence interval only includes positive values and does not include positive values and does not include zero, there is not sufficient evidence to support farmer Joe's claim. D. Because the confidence interval includes zero, there is not sufficient evidence to support farmer Joe's claim.Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. 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