Recall that a confidence interval is too small ifche number being estimated is larger than everynumber in the confidence interval. Similarly, aconfidence interval is too large if the numberpeing estimated is smaller than every numberin the confidence interval.Each of four researchers selects a random sam-ple from the same population. Each researchercalculates a confidence interval for the medianof the population. The intervals are below.[14, 31], [20, 29], [10, 23], and [25, 35].(a) Nature announces, “Two of the intervalsare correct and two are too large." Giventhis information, what is the narrowest in-terval that is known to contain the median?(Hint: The answer is not any of the fourconfidence intervals.)(b) Nature announces, “Two of the intervalsare correct, one interval is too small andone interval is too large." Given this infor-mation, what is the narrowest interval thatis known to contain the median? (Hint:The answer is not any of the four confi-dence intervals.)

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Answered: Recall that a confidence interval is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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RD.24.
Question 9: compute a 95% confidence interval for the average blood pressure range of any individual that will take the blood pressure medication.
QUESTION 23 Ali constructed a 98% confidence interval for the mean amount spent per day in a shopping mall based on 100 customers. The confidence interval was found to be (AED 1150, AED 2150). Select all correct answers. The mean amount spent per day by the 100 customers selected in the sample falls between AED 1150 and AED 2150. We are 98% confident that the mean amount spent per day by customers falls between AED 1150 and AED 2150. The mean amount spent per day by all customers falls between AED 1150 and AED 2150. 98% of all customers spent between AED 1150 and AED 2150 per day.
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A group of people use an app to track their work outs in the gym everyday. The workouts can be categorized as Strenuous, Moderate, or Light. When the data from the app was reviewed, the following observation was made: Of the people who work out strenuously on a particular day, 40% will work out strenuously the next day and 60% will work out moderately. Of the people who work out moderately on a particular day, 50% will work out strenuously the next day and 50% will work out lightly. Of the people working out lightly on a particular day, 30% will work out strenuously on the next day, 20% will work out moderately, and 50% lightly. (a) Set up the 3 x 3 transition matrix with rows and columns labelled S , M, and L. (b) Suppose that on a particular Monday, 80% work out strenuously, 10% moderately, and 10% lightly. What will the distribution be on Wednesday? (You can use a calculator for the matrix multiplication.) (c) Find the stable distribution algebraically.
Ch. 6.1 CI We examine the effect of different inputs on determining the sample size needed to obtain a specific margin of error when finding a confidence interval for a proportion. Find the sample size needed to give, with 95% confidence, a margin of error with +/- 6% when estimating a proportion. Within +/- 4%. Within +/- 1%. (Assume no prior knowledge about the population proportion p). Comment on the relationship between the sample size and the desired margin of error.
Question 82 parts A, B, and C
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 74 dates, the mean record high daily temperature in a certain city has a mean of 82.58° F. Assume the population standard deviation is 14.82°F. The 90% confidence interval is (Round to two decimal places as needed.) The 95% confidence interval is ( I). (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. The 95% confidence interval The 90% confidence interval
If n = 10, ¯xx¯ = 38, and s = 7, construct a confidence interval at a 99% confidence level. Assume the data came from a normally distributed population. Give your answers to three decimal places. ___q____
Question 17: determine which is the 95% confidence interval and which is the 99% confidence interval. (60,120) (75,100)
Which of the following would result in the widest confidence interval? A sample size of 30 with 95% confidence. A sample size of 100 with 95% confidence A sample size of 100 with 99% confidence. A sample size of 30 with 99% confidence.
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