A random sample of size 30 from a normal population yields X = 32.8 with a population standard deviation of 4.51. Construct a 90 percent confidence interval for μ.[32.045, 33.565][31.446, 34.154]O [31.453, 34.152][23.964, 41.642]

Given information Sample size, n = 30 Sample mean x̅ = 32.8 Population standard deviation σ = 4.51…

Answered: A random sample of size 30 from a…

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 nutritionist claims that the mean tuna consumption by a person is 3.4 pounds per year. A sample of 90 people shows that the mean tuna consumption by a person is 3.3 pounds per year. Assume the population standard deviation is 1.02 pounds. At α=0.03, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ=3.4 Ha: μ≠3.4 Your answer is correct. B. H0: μ>3.4 Ha: μ≤3.4 C. H0: μ≤3.3 Ha: μ>3.3 D. H0: μ≤3.4 Ha: μ>3.4 E. H0: μ>3.3 Ha: μ≤3.3 F. H0: μ≠3.3 Ha: μ=3.3 (b) Identify the standardized test statistic. z=negative 1.34−1.34 (Round to two decimal places as needed.)
3.1.1)Given X=14.5% SD=3.4% N=25 90% CI for population mean is X.where Z=1.645 at 905 confidence =14.5±1.645 =14.5±1.12 =(13.38%,15.62%) We are 90% confident that the actual mean dividend yield lies between 13.38% and 15.62%. 3.1.2) 95% CI is X±Z where Z =14.5±1.96. =14.5±1.33 =(13.17%,15.83%) is the 95% Confidence interval Compare the 2 calculations above by means of a diagram
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A population has a mean of 1398.25 and standard deviation of 246.85 12 What fraction of the means from random samples of size 82 are within ± 40 from the population mean? a 0.8577 b 0.8327 c 0.8085 d 0.7849
6.2.3 Find the critical value t, for the confidence levelc=0.99 and sample size n= 12. Click the icon to view the t-distribution table. (Round to the nearest thousandth as needed.)
We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ=56.8σ=56.8. We would like to be 99% confident that the estimate is within 0.1 of the true population mean. How large of a sample size is required?n=___
A distribution with a mean of μ =41 and a standard deviation of σ = 4 is transformed into a standardized distribution with μ=100 and σ= 20. Find the new, standardized score for each of the following values from the original population. 1.Original X= 39. Transformed X=? 2.Original X=36 . Transformed X=? 3.Original X=45. Transformed X=? 4.Original X=50. Transformed X=?
A nutritionist claims that the mean tuna consumption by a person is 3.8 pounds per year. A sample of 70 people shows that the mean tuna consumption by a person is 3.5 pounds per year. Assume the population standard deviation is 1.04 pounds. At α=0.09, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ=3.8 Ha: μ≠3.8 B. H0: μ≠3.5 Ha: μ=3.5 C. H0: μ>3.5 Ha: μ≤3.5 D. H0: μ>3.8 Ha: μ≤3.8 E. H0: μ≤3.5 Ha: μ>3.5 F. H0: μ≤3.8 Ha:μ>3.8 b) Identify the standardized test statistic. z= (Round to two decimal places as needed.) (c) Find the P-value. (d) Decide whether to reject or fail to reject the null hypothesis. A. Reject H0. There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.8pounds. B. Reject H0. There is sufficient evidence to reject the claim that mean tuna consumption is equal to…
6.2.3 Find the critical value t, for the confidence level c=0.80 and sample size n= 12. tents Click the icon to view the t-distribution table. Resources t.=(Round to the nearest thousandth as needed.)
6.2
6.1.5 Find the critical value z, necessary to form a confidence interval at the level of confidence shown below. c = 0.94 (Round to two decimal places as needed.)
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A random sample of size 30 from a normal population yields X = 32.8 with a population standard deviation of 4.51. Construct a 90 percent confidence interval for μ. [32.045, 33.565] [31.446, 34.154] [31.453, 34.152] [23.964, 41.642]