MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Suppose that you have obtained data by taking a random sample from a population and that you intend to find a confidence interval for the population mean, μ.Which confidence level, 95% or 99%, will result in the confidence interval giving a more accurate estimate of μ?
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- 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 2.576arrow_forwardA 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) = 1.39arrow_forwardA market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 80% confidence interval with an error of no more than 0.07 . A consultant has informed them that a previous study found the mean to be 3.6 energy drinks per week and found the variance to be 1.44 . What is the minimum sample size required to create the specified confidence interval? Round your answer up to the next integer.arrow_forward
- Which type of confidence interval should you use in this situation? A sample of 25 different payroll departments found that the employees worked an average of 310.3 days a year with a standard deviation of 23.8 days. The distribution is approximately normally distributed. Find the 90% confidence interval for the average days worked of all payroll departments. Question 2 options: 1) a confidence interval for the mean using a table value from the standard normal distribution. 2) a confidence interval for the mean using a table value from the t distribution. 3) a confidence interval for a proportion using a table value from the standard normal distribution. 4) a confidence interval for proportion using a table value from the t distribution. 5) none of the above.arrow_forwardThe 95% confidence interval of the variance of a population is computed as (12.367,21.761). Interpret this confidence interval.arrow_forwardImagine 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 resultsarrow_forward
- Given the following information: My confidence intervals: 90% confidence interval = (2.33, 2.56), and 99% confidence interval = (2.26, 2.63) My peer's confidence intervals: 90% confidence interval at ( 2.37 , 2.61 ) and 99% confidence interval at ( 2.31 , 2.67). How do their confidence intervals compare with yours? If the population standard deviation is unknown and the sample size is not sufficiently large, would you still use the Normal distribution to calculate these confidence intervals, or would you choose another distribution? If the latter, which distribution would you choose?arrow_forwardCan you help me with this question from my Business Statistics class?arrow_forward
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