A population has standard deviation o= 17.7.Part 1 of 2(a) How large a sample must be drawn so that a 99.9% confidence interval for µ will have a margin of error equal to4.9?Round the critical value to no less than three decimal places.Round the sample size up to the nearest integer.A sample size of is needed to be drawn in order to obtain a 99.9% confidenceinterval with a margin of error equal to 4.9.Part 2 of 2(b) If the required confidence level were 99.5%, would the necessary sample size be larger or smaller?because the confidence level is (Choose one)(Choose one)XX5

Population standard deviation(σ)=17.7Margin of error(E)=4.9a)Given,confidence level=99.9%

Answered: A population has standard deviation o=…

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 simple random sample of size n=24 is drawn from a population that is normal distributed. The sample mean is found to be x bar= 66 and the sample standard deviation is found to be s= 16.construct a 98% confidence interval about the population mean. (Round to two decimals)
A random sample of size 49 from normal population yields, mean = 7.2 and standard deviation = 2.8. The lower bound of a 99 percent confidence interval for population mean is O a. 6.40 O b. 6.53 O c. 6.13 O d. 6.68
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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= 12 is drawn from a population that is normally distributed. The sample mean is found to be x= 63 and the sample standard deviation is found to be s = 13. Construct a 95% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)
A random sample of 17 values was selected from a population, and the sample standard deviation was computed to be 150. Based on this sample result, compute a 90% confidence interval estimate for the true population standard deviation. State the UPPER bound of this confidence interval. (Hint: Use the formula for calculating a confidence interval estimate for a population variance. For this problem, the chi-squared critical value you should use is 5.8919. Also, don't forget, it is asking you for the confidence interval for the standard deviation. Chapter 11.1) (Round to two decimal places as needed.)
A sample of n=41n=41 data values randomly selected from a normally distributed population has variance s2=30s2=30. Construct a 95% confidence interval for the population variance. Round your endpoints to one decimal place.
Step 3 The necessary value for Za/2 was determined to be 1.645. Recall the given information. Sample 1 n1 = 400 P1 = 0.56 P2 = 0.41 Substitute these values to first find the lower bound for the confidence interval, rounding the result to four decimal places. P₁(1-P₁) P₂(1-P₂) 1 72 lower bound = P₁-P₂-²a/2 = 0.560.41 Sample 2 n2 = 300 = 0.0559 = 0.56 0.41 = 02441 X Substitute these values to find the upper bound for the confidence interval, rounding the result to four decimal places. P₁(1-P₁) P₂(1-P₂) upper bound = P₁ P₂ + ²a/2√ n1 n2 X + ✔ - 1.645, + 0.56(1 0.56) 0.41(10.41) 300 +1.645. 400 0.56(1 0.56) + 400 + 0.41(1 0.41) 300
Energy drinks: A survey of college students reported that in a sample of 402 male college students, the average number of energy drinks consumed per month was 2.41 with a standard deviation of 3.18, and in a sample of 390 female college students, the average was 1.50 with a standard deviation of 4.77. Part: 0/2 Part 1 of 2 Construct a 80% confidence interval for the difference between men and women in the mean number of energy drinks consumed. Let μ, denote the mean number of energy drinks consumed by men. Use tables to find the critical value and round the answers to at least two decimal places. A 80% confidence interval for the difference between men and women in the mean number of energy drinks consumed is 0<44-₂2 <0. X S Part: 1/2 Part 2 of 2 Based on the confidence interval, is it reasonable to believe that the mean number of energy drinks consumed may be the same for both male and female college students? It (Choose one) reasonable to believe that the mean number of energy drinks…
A random sample of n = 9 men between 30 and 39 years old is asked to do as many sit-ups as they can in one minute. The mean number is x = 24.2, and the standard deviation is s = 6. (a) Find the value of the standard error of the sample mean.(b) Find a 95% confidence interval for the population mean. (Round all answers to the nearest tenth.) to sit-ups
A sample of size n=89 is drawn from a population whose standard deviation is a 16. 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 μ is. Part 2 of 2 (b) If the sample size were n=87, would the margin of error be larger or smaller? (Choose one) , because the sample size is (Choose one)
Is the following a null or an alternative hypothesis? Iced coffee tastes better than hot coffee.

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