In a random sample of 26 people, the mean commute time to work was 31.3 minutes and the standard deviation was7.1 minutes. Assume the population is normally distributed and use a t-distribution to construct a 95% confidenceinterval for the population mean u. What is the margin of error of µ? Interpret the results.The confidence interval for the population mean μ is(Round to one decimal place as needed.)The margin of error of u is(Round to one decimal place as needed.)Interpret the results.OA. With 95% confidence, it can be said that the population mean commute time is between the bounds of theconfidence interval.O B. With 95% confidence, it can be said that the commute time is between the bounds of the confidence interval.OC. If a large sample of people are taken approximately 95% of them will have commute times between thebounds of the confidence interval.OD. It can be said that 95% of people have a commute time between the bounds of the confidence interval.Q Search&4+mixt al IVA-EIFEILlipi*8

It is given that Sample mean = 31.3Sample standard deviation = 7.1Sample size = 26Confidence level =…

Answered: The confidence interval for the…

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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Let μ denote some population mean of interest and suppose a 95% confidence interval for μ is calculated to be (0.63, 0.73) and a 99% confidence interval for μ is calculated to be (0.61,0.75). Also, suppose that we want to test H0: μ = 0.77 vs. Ha: μ ≠ 0.77 What can you say about the corresponding p-value? Choose from following letters. a. The corresponding p-value will be smaller than 0.05 but larger than 0.01. b. The corresponding p-value will be larger than 0.05. c. the corresponding p-value will be smaller than 0.01. d. I can’t say anything about the corresponding p-value until I run the test
A statistics class is estimating the mean height of all female students at their college. They collect a random sample of 42 female students and measure their heights. The mean of the sample is 65.3 inches and the sample standard deviation is 5.4 inches. Find the 90% confidence interval for the mean height of all female students in their school? Assume that the distribution of individual female heights at this school is approximately normal. 1. The t value is 1.3025 2. The standard error has a value of -- 3. The margin of error has a value of 4. Find the 90% confidence interval for the mean height of all female students in their school
I collect a random sample of size n from a population and from the data collected compute a 90% confidence interval for the mean of the population. Which of the following would produce a wider confidence interval, based on these same data? Use a larger confidence level. Use a smaller confidence level. a b.
Write down the confidence interval formula for image 1 . Is the correct answer image 2?
Which interval is which? Alessandro constructed three confidence intervals, all from the same random sample. The confidence levels are 90%, 95%. and 99%. The confidence intervals are I. 4.5<µ<5.5 II. 4.3 <µ<5.7 III. 4.6<µ<5.4 Unfortunately, Alessandro has forgotten which confidence interval has which level. Match each confidence interval with its level. 4.5
Answer A through d
We provide a sample mean, sample size, sample standard deviation, and confidence level. a. use the one-mean t-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn. b. obtain the margin of error by taking half the length of the confidence interval. c. obtain the margin of error by using the formula tα/2•s/√n. x = 30, n = 25, s = 4, confidence level = 90%
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 a 95% confidence interval for two population proportions pi – p2 is a range of positive numbers, then what does this imply? With 95% confidence, the first population proportion is less than the second. With 95% confidence, there is no difference in the population proportions. O With 95% confidence, the first population proportion is greater than the second. O The relative size of the population proportions cannot be determined.
A random sample of 15 exam scores showed a standard deviation of 6.0 points. Find the 95 percent confidence interval for the population standard deviation. Use Appendix E to obtain the values of χ2LχL2 and χ2UχU2 . (Round your answers to 2 decimal places.) The 95% confidence interval is from ______ to __________ .
We provide a sample mean, sample size, sample standard deviation, and confidence level. a. use the one-mean t-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn. b. obtain the margin of error by taking half the length of the confidence interval. c. obtain the margin of error by using the formula tα/2•s/√n. x = 25, n = 36, s = 3, confidence level = 95%
The width of a confidence interval for a proportion will be:a. wider for a sample of size 100 than for a sample of size 50b. wider for 90% confidence than for 95% confidencec. narrower for 99% confidence than for 95% confidenced. wider when the sample proportion is 0.50 than when the sample proportion is 0.20 Calculations:

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