Surgical complications: A medical researcher wants to construct a 90% confidence interval for the proportion of knee replacement surgeries that result incomplications.EnPart: 0 / 2Part 1 of 2(a) An article in a medical journal suggested that approximately 18% of such operations result in complications. Using this estimate, what sample size isneeded so that the confidence interval will have a margin of error of 0.06?A sample of 111 operations is needed to obtain a 90% confidence interval with a margin of error of 0.06 using theestimate 0.18 for p.Part: 1/ 2Part 2 of 2(b) Estimate the sample size needed if no estimate of p is available.A sample ofoperations is needed to obtain a 90% confidence interval with a margin of error of 0.06 when no estimateof p is available.Microsoft ExcelNOV20MacBook AirDD80888F10FBF9F5F6F7F4F3

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Answered: (a) An article in a medical journal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A 98% confidence intervals for the proportion of first-year statistics students with brown hair is given to be (0.28, 0.42).(d) What is the standard error of the estimate?(Round to 3 decimal places, if needed.)(e) What was the sample size?(Round to the appropriate integer.)
Pain after surgery: In a random sample of 54 patients undergoing a standard surgical procedure, 15 required medication for postoperative pain. In a random sample of 94 patients undergoing a new procedure, only 16 required pain medication. Part: 0/ 2 Part 1 of 2 (a) Construct a 99% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures. Let p, denote the proportion of patients who had the old procedure needing pain medication. OL Use tables to find the critical value and round the answer to at least three decimal places. A 99% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures is
1 Suppose that the average time spent per day with digital media several years ago was 3 hours and 22 minutes. For last year, a random sample of 20 adults in a certain region spent the numbers of hours per day with digital media given in the accompanying table. Preliminary data analyses indicate that the t-interval procedure can reasonably be applied. Find and interpret a 90% confidence interval for last year's mean time spent per day with digital media by adults of the region. (Note: x=5.88hr and s=2.27hr.) The 90% confidence interval is from ( ? ) hour(s) to ( ? )hour(s). Interpret the 90% confidence interval. Select all that apply. A. There is a 90% chance that the mean amount of time spent per day on digital media last year by all adults in the region is between the interval's bounds. B.With 90% confidence, the mean amount of time spent per day on digital media last year by all adults in the region is between the interval's bounds. C.90% of all…
Age x and resting heart rate y were sampled for 25 randomly selected children from age 2 to 9. Summary information is: n = 25, Σx = 140.5, Σx2 = 903.75, Σy = 2567, Σy2 = 264, 457, Σxy = 14, 171.5 (a) Compute a 95% confidence interval for the average resting heart rate of 3 six year old children.
One method for measuring air pollution is to measure the concentration of carbon monoxide, or CO, in the air. Suppose Nina, an environmental scientist, wishes to estimate the CO concentration in Zagreb, Croatia. She randomly selects 45 locations throughout the city measures the CO concentration at each location. Based on her 45 samples, she computes the margin of error for a 95% t-confidence interval for the mean concentration of CO in Zagreb, in µg/m³, to be 4.28. What would happen to the margin of error if Nina decreases the confidence level to 90%? Nina increases the confidence level to 99%? Nina decreases the sample size to 33 locations? Nina increases the sample size to 65 locations? Answer Bank Increase Stay the same Decrease
We obtain the following demand curve of beef in a market with 25 observations: Q = 635.736 - 48.165 P, where Q is the quantity demanded of beef measured in pounds, P is price measured in dollars per pound. The standard error of the slope coefficient is 2.546. What is the upper bound of the 95% confidence interval of the slope coefficient? note: df = n-2
8.1 Confidence Interval 1. Crop researchers are interested in the productivity of a new variety of corn. They plant 25 plots with randomly selected seeds of the new variety, record the yield in bushels per acre, and find that a 99% confidence interval for the true mean yield is 118 to 130 bushels per acre. (a) Interpret the confidence interval. (b) What is the point estimate that was used to create the interval? What is the margin of error? (c) Interpret the confidence level. (d) Based on the research, a marketer tells a possible customer that with this new variety of corn they can expect to receive more than 130 bushels per acre, on average. Use the confidence interval to evaluate this statement.
A random sample of 250 SCC students yields 79 full-timers and 171 part-timers. (a)Construct a 90% confidence interval for the overall proportion of full-time students at SCC.(b)The margin of error associated with the above c.i. is_____(c)How large a sample should be selected if we want the margin of error to be 2 percentage points?
Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.t Suppose a small group of 12 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with a = 0.22 gram. When finding an 80% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) (a) Find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) Oo is known Oo is unknown O uniform distribution of weights O normal distribution of weights On is large (c) Interpret your results in the context of this problem. We are 80% confident that the true average weight of…
a and b
In each case, use the information given to compute a confidence interval for the population mean ?. Assume that all necessary conditions are present for using the method described in Section 11.2. (Round your answers to two decimal places.) (a) x = 79, s = 9, n = 25, 95% confidence level to (b) x = 102, s = 9, n = 25, 95% confidence level ___to___ (c) x = 102, s = 19, n = 81, 99% confidence level ___to___ (d) x = 102, s = 19, n = 81, 90% confidence level ___to___
A research scholar wants to know how many times per hour a certain strand of virus reproduces. He wants to construct the 98% confidence interval with a maximum error of 0.17 reproductions per hour. Assuming that the mean is 10.3 reproductions and the variance is known to be 5.76 or standard deviation 2.4, what is the minimum sample size required for the estimate? Round your answer up to the next integer. (a) Which of the following formulae is the valid formula to find answer to this question? 1. (zCriticalValue×σ)2 errorzCriticalV alue2 × p?× (1 − p?) 2.3. p?±ztable ×?p?(1−p?) error2 n x ± ztable × √σ n x ± ttable × √s n (b) What is the critical number that you need from Z Table or T Table whichever is appropriate to solve this problem? (c) What is the final answer to this problem?

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