A simple random sample of 60 items from a population with o = 8 resulted in a sample mean of 32. (Round your answers to two decimal places.)(a) Provide a 90% confidence interval for the population mean.to(b) Provide a 95% confidence interval for the population mean.to(c)Provide a 99% confidence interval for the population mean.to

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Answered: A simple random sample of 60 items from…

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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If n = 580 and X = 464, construct a 90% confidence interval for the population proportion, p.Give your answers to three decimals______< p < ______
Abe and Betty want to estimate the mean of a population with known standard deviation o. Abe takes 50 samples whereas Betty takes 80 samples. Which of the following statements are correct? (A) If both Abe and Betty use confidence intervals of the same width, then the confidence level of Abe's interval is smaller than that of Betty's (B) If both Abe and Betty use confidence intervals of the same width, then the confidence level of Abe's interval is larger than of Betty's (C) If Abe and Betty construct confidence intervals with the same confidence level, then the width of Abe's interval is smaller than that of Betty's (D) If Abe and Betty construct confidence intervals with the same confidence level then the width of Abe's interval is larger than that of Betty's (B) and (C). (A) and (D) (B) and (D) (A) and (C)
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
An advertiser was about to launch an advertisement campaign for a new product. He conducted a random survey to find the preference for the new product among the respondents. Based on his previous experience, he found the standard deviation for the population as 4. Because the population mean was not known to him, he randomly selected 25 responses and found that the sample mean preference for the new product was 10. Which of the following parameters did he use to calculate a confidence interval at the 95% confidence level for this population mean? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576
You were interested in how long the average psychology major at your college studies per night, so you asked 10 psychology majors to tell you the amount they study. They told you the following times: 2, 1.5, 3, 2, 3.5, 1, 0.5, 3, 2, 4. (a) Find the 95% confidence interval on the population mean. (b) Find the 90% confidence interval on the population mean.
A psychologist hypothesizes that the children with type K personality score higher than the children with type R personality on a memory test. The estimated standard error turned out to be 0.9, while the mean score of type K children was 18.8 and the mean score for type R children was 21.3. What is the t-score? a. t = (18.8 - 21.3)/0.9 = 2.78 b. t = (18.8 - 21.3)(0.3) = 8.33 c. t = (18.8 - 21.3)/0.92 = 3.09 d. t = (18.8 - 21.3)(2)(0.9) = 1.39
Imagine that a researcher wants to compare the intelligence levels of Poodles to all dogs. He hypothesizes that Poodles will score differently than other dogs. He uses a standard test of dog intelligence in his study. The population of all dogs has a mean of μ = 100, and an SD of 15. He obtains a random sample of 500 Poodles and he finds that the mean intelligence score of the sample is 117. Is this a one- or two- tailed test? Write the Ho and Ha for this research question. What kind of statistic should be calculated to test the hypothesis? Compute that statistic by hand What should the researcher conclude? Write a blurb describing the results
The principal randomly selected six students to take an aptitude test. Their scores were: 81.6 72.0 81.1 86.4 70.2 83.1 The sample standard deviation is s= 6.47 but you will have to calculate the sample mean. (a) Determine a 90% confidence interval for the mean score for all students.(b) Raise the level of confidence to 99%, and show the effect on the confidence interval. (c) Explain the math behind why this effect happens. Look at your formulas and explain what is different and how this impacts your answers.
Find the margin of error for a 95% confidence interval for estimating the population mean when the sample standard deviation equals 90, with a sample size of (i) 441 and (ii) 1521. What is the effect of the sample size? (i) Find the margin of error for a 95% confidence interval for estimating the population mean when the sample standard deviation equals 90 with a sample size of 441 (Round to two decimal places as needed.)
Determine if the following statements are true or false. a. Jane took a sample of n = 100 observations from a population with mean and standard deviation. Mike also took a sample of n = 200 observations from the same population. Then, Mike’s sample mean will be closer to the true population mean than Jane’s sample. b. Jane took a sample of n = 100 observations from a population with mean and standard deviation. Mike also took a sample of n = 200 observations from a population with mean and standard deviation 2. Then, the sample mean from Mike’s sample is more likely to be close to the true mean than the sample mean from Jane’s sample. That is, the probability that X is between 90% and 110% of mean is higher for Mike’s sample than for Jane’s sample.
2

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