A population has standard deviation o = 17.4.Part 1 of 2(a) How large a sample must be drawn so that a 99% confidence interval for u will have a margin of error equal to 4.1?Round the critical value to no less than three decimal places.Round the sample size up to the nearest integer.A sample size ofis needed to be drawn in order to obtain a 99% confidence intervaldowith a margin of error equal to 4.1.Part 2 of 2(b) If the required confidence level were 99.9%, would the necessary sample size be larger or smaller?(Choose one) ▼because the confidence level is |(Choose one) ▼higherlower

Answered: Image /qna-images/answer/02c38223-d3ff-429f-8a92-c063b76b2bae.jpg

Answered: (a) How large a sample must be drawn so…

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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Determine the t-score for a 95% confidence interval for a population mean from a sample of size 6. t = [three decimal accuracy]
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 19.6, and the sample standard deviation, s, is found to be 5.6. (a) Construct a 98% confidence interval about u if the sample size, n, is 32. (b) Construct a 98% confidence interval about µ if the sample size, n, is 58. How does increasing the sample size affect the margin of error, E? (c) Construct a 99% confidence interval about u if the sample size, n, is 32. How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 21, what conditions must be satisfied to compute the confidence interval? (a) Construct a 98% confidence interval about µ if the sample size, n, is 32. Lower bound:; Upper bound: (Round to two decimal places as needed.) C...
A sample of size n= 60 is drawn from a population whose standard deviation is o = 33. Part 1 of 2 (a) Find the margin of error for a 90% confidence interval for µ. Round the answer to at least three decimal places. The margin of error for a 90% confidence interval for u is Part 2 of 2 X (b) If the sample size were n=82, would the margin of error be larger or smaller? because the sample size is (Choose one) (Choose one) x Ś Ś
Answer question 4
An ecologist randomly samples 14 plants of a specific species and measures their heights. He finds that this sample has a mean of 15 cm and a standard deviation of 4 cm. If we assume that the height measurements are normally distributed, find a 90% confidence interval for the mean height of all plants of this species. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: Upper limit: X Ś
A confidence interval is desired for the true mean stray-load loss (Watts) for a certain type of induction motor. Assume that the stray-load loss is normally distributed with =3.3Watts. Situation 3: You take 100 measurements of stray-load loss from induction motors and determine that the mean of your sample is 53.6 Watts. When you calculate the 95% confidence interval for this situation, you get: (52.95 Watts, 54.25 Watts) is a 95% confidence interval for M. Compare this confidence interval to the interval you calculated in Situation 1. They are both 95% confidence intervals, but they have different sample sizes. What effect did sample size have on the interval estimate endpoints? Question 1: 25 sample size, Confidence Interval: (52.3064,54.8936)
A simple random sample with n = 52 provided a sample mean of 24.0 and a sample standard deviation of 4.6. a. Develop a 90% confidence interval for the population mean (to 1 decimal). b. Develop a 95% confidence interval for the population mean (to 1 decimal). c. Develop a 99% confidence interval for the population mean (to 1 decimal). d. What happens to the margin of error and the confidence interval as the confidence level is increased? V - Select your answer - They increase They decrease They stay the same It cannot be determined from the given data The margin of error increases and the confidence interval becomes narrower The margin of error decreases and the confidence interval becomes wider
A random sample of 100 students is taken from a larger population of students in a multi-lecture course and the sample mean (average) of their final grades is found to be 62.25. Suppose that the population standard deviation is known to be 3. Which of the following is correct? A 90% Z confidence interval for the true population mean that is calculated from this sample data of 100 students will be wider than a 95% Z confidence interval for the true population mean that is calculated from this sample data of 100 students. b. A 95% Z confidence interval for the true population mean that is calculated from this sample data of 100 students will be narrower than a 90% Z confidence interval for the true population mean that is calculated from this sample data of 100 students. c. A 90% Z confidence interval for the true population mean that is calculated from this sample data of 100 students would be narrower than a 90% Z confidence interval for the true population mean that is…
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 sample of size n = 51 is drawn from a population whose standard deviation is o = 47. Part 1 of 2 (a) Find the margin of error for a 90% confidence interval for μ. Round the answer to at least three decimal plac The margin of error for a 90% confidence interval for u is Part 2 of 2 (b) If the sample size were n = 72, would the margin of error be larger or smaller? (Choose one) because the sample size is (Choose one) X 2022 McGraw Hill X 3 Ś Submit Assignment Terms of Use | Privacy Center | Accessibility
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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