Confidence intervals when conducting a single-sample test of hypothesis: Why are confidence intervals an example of an inferential rather than a descriptive statistic? What value is at the center of every confidence interval for a single-sample test? When we interpret a confidence interval, are we making a statement about the value of a sample mean or a population mean?
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Confidence intervals when conducting a single-sample test of hypothesis: Why are confidence intervals an
example of an inferential rather than a
confidence interval for a single-sample test? When we interpret a confidence interval, are we making a
statement about the value of a sample
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- Rock band The Rolling Stones have played scores of concerts in the last twenty years. For 30 randomly selected Rolling Stones concerts, the mean gross earnings is 2.44 million dollars. Part a) Assuming a population standard deviation gross earnings of 0.48 million dollars, obtain a 99% confidence interval for the mean gross earnings of all Rolling Stones concerts (in millions). Confidence interval: ( Part b) Which of the following is the correct interpretation for your answer in part (a)? A. There is a 99% chance that the mean gross earnings of all Rolling Stones concerts lies in the interval B. We can be 99% confident that the mean gross earnings for this sample of 30 Rolling Stones concerts lies in the interval OC. If we repeat the study many times, 99% of the calculated confidence intervals will contain the mean gross earning of all Rolling Stones concerts. D. None of the aboveSleeping outlier: A simple random sample of eight college freshmen were asked how many hours of sleep they typically got per night. The results were… answer the following down below.Reading proficiency: An educator wants to construct an 80% confidence interval for the proportion of elementary school children in Colorado who are proficient in reading. Part 1 of 3 (a) The results of a recent statewide test suggested that the proportion is 0.64. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.03? A sample of 421 elementary school children is needed to obtain an 80% confidence interval with a margin of error of 0.03. Part: 1 / 3 Part 2 of 3 (b) Estimate the sample size needed if no estimate of p is available. A sample of elementary school children is needed to obtain an 80% confidence interval with a margin of error of 0.03.
- Reading proficiency: An educator wants to construct a 98% confidence interval for the proportion of elementary school children in Colorado who are proficient in reading. Part: 0 / 3 0 of 3 Parts Complete Part 1 of 3 (a) The results of a recent statewide test suggested that the proportion is 0.61 . Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.03 ? A sample of elementary school children is needed to obtain a 98% confidence interval with a margin of error of 0.03Births A random sample of 860 births in New York State included 426 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.512. Do these sample results provide strong evidence against that belief?A and B
- Library A food safety guideline is that the mercury in fish should be below 1 part per million (ppm). Listed below are the amounts of mercury (ppm) found in tuna sushi sampled at different stores in a major city. Construct a 90% confidence interval estimate of the mean amount of mercury in the population. Does it appear that there is too much mercury in tuna sushi? 0.58 0.74 0.10 0.92 1.32 0.49 0.96 t: 0 What is the confidence interval estimate of the population mean p? ppmConstructing a Confidence Interval for a Population Proportion In a random sample of 500 U.S. adults, 60% said that they believe that the U.S. Congress fails to pass laws that benefit the lives of all Americans. Use these sample statistics to construct a 95% confidence interval for the proportion of all U.S. adults who believe that the U.S. Congress fails to pass laws that benefit the lives of all Americans. Give your answers as decimals, rounded to three decimal places. < p <Rock band The Rolling Stones have played scores of concerts in the last twenty years. For 30 randomly selected Rolling Stones concerts, the mean gross earnings is 2.89 million dollars. Part a) Assuming a population standard deviation gross earnings of 0.5 million dollars, obtain a 99% confidence interval for the mean gross earnings of all Rolling Stones concerts (in millions). Confidence interval: ( Part b) Which of the following is the correct interpretation for your answer in part (a)? U A. We can be 99% confident that the mean gross earnings for this sample of 30 Rolling Stones concerts lies in the interval O B. There is a 99% chance that the mean gross earnings of all Rolling Stones concerts lies in the interval O c. If we repeat the study many times, 99% of the calculated confidence intervals will contain the mean gross earning of all Rolling Stones concerts. O D. None of the aboveIdentifying the Method of Analysis Identify the method of analysis needed to answer the question. Indicate whether we should conduct a hypothesis test or find a confidence interval and also indicate whether the analysis will be done on a proportion, a mean, a difference in proportions, a difference in means, or a matched pairs difference in means. Use results collected at a supermarket to see whether there is a difference in the average amount of time customers have to wait in line between two different check-out cashiers. We use a Save for Later for a Attempts: 0 of 1 used Submit AnswerQuestion Help The data given to the right includes data from 45 candies, and 9 of them are red. The company that makes the candy claims that 29% of its candies are red. Use the sample data to construct a 95% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 29%? Weights (g) of a Sample Bag of Candy Red Blue Brown Green Yellow 0.767 0.968 0.814 0.987 0.915 0.753 0.815 0.835 0.805 0.927 0.786 0.881 0.817 0.781 0.896 Construct a 95% confidence interval estimate of the population percentage of candies that are red. 0.798 0.934 %Reading proficiency: An educator wants to construct a 99.9% confidence interval for the proportion of elementary school children in Colorado who are proficient in reading. Part: 0 / 3 0 of 3 Parts Complete Part 1 of 3 (a) The results of a recent statewide test suggested that the proportion is 0.73 . Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07 ? 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