From a random sample of 40 students, a 90% confidence interval for the mean weekly allowance is [1000 pesos, 2500 pesos]. The probability that the true mean weekly allowance is in the interval [1000 pesos, 2500 pesos] is 0.90. Is the statement true or false? prove.
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From a random sample of 40 students, a 90% confidence interval for the mean weekly allowance is [1000 pesos, 2500 pesos]. The probability that the true mean weekly allowance is in the interval [1000 pesos, 2500 pesos] is 0.90. Is the statement true or false? prove.
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- Out of 300 people sampled, 270 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places. < p <Out of 100 people sampled, 68 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids.Give your answers as decimals, to three places < p <A random sample of 49 Europeans was asked how many days of vacation they take each year. The sample mean was 30 and the population standard deviation is known to be 4. What is the 99% confidence interval of the true population parameter describing average vacation days?
- Suppose that average male weight in the US is 175 pounds with a standard deviation of 25 pounds. Suppose you randomly select 1,000 male Americans and ask their weight, and average the 1,000 numbers to compute a sample mean X. a) What does the law of large numbers tell you about X, the average of the 1,000? Be precise in your answer using about 1 to 3 sentences.The arrival schedule of an ETS train from Kuala Lumpur to Sungai Petani follows a normal distribution with the average train arrival at 0954 and a standard deviation of a 7.4 minutes. The train are expected to arrive at 0948. a) Find the probability that the train will be late but arrive before 1002 hours. b) If the probability that the train will be late is given as 0.025, find the arrival time of the train.Suppose we are interested in the mean of Statistics exam scores. A random sample of 36 scores is taken and gives a sample mean of 68 points. The population standard deviation is 3 points. i) By using the same 90% confidence level, what happens to the confidence interval if we increase the sample size and use n = 100?
- Out of 100 people sampled, 82 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places.A researcher has collected a sample of 25 respondents and the mean was calculated as 500. The sample was randomly drawn from a normal population whose standard deviation is 15.a) Estimate the population mean with 99% confidence b) Repeat the part (a) changing the population standard deviation to 30. c) Repeat the part (a) changing the population standard deviation to 60. d) Describe what happens to the confidence interval estimate when thestandard deviation is increased.Out of 300 people sampled, 66 had kids. Based on this, construct a 99% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places.The mean score in the college entrance examination of 50 with a standard deviation of 12. If a sample of size 36 is taken,a) find the mean and standard deviation of the sample mean, x̄.b) what is the probability that x̄ is less than 48.5?c) what is the probability that x̄ is greater than 53?Express the confidence interval 126.3 ± 51.5 in the form of a trilinear inequality. < l <Express the confidence interval 50.5%<p<61.7 in the form of ˆp±ME.SEE MORE QUESTIONSRecommended 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. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: 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. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman