1. The mean and standard deviation of a process are expected to be about μ = 400 and σ = 16. Anexperiment is required to estimated the true mean with precision 8 = 10 with 95% confidence, i.e. aconfidence interval for the population mean of the following form is required:P(x-8<< x+6) = 0.95where x will be determined from the sample data. Calculate the sample size for the experimentassuming that the distribution is normal and that the population standard deviation will be estimatedfrom the sample standard deviation.

cTo calculate the required sample size ( n ) for estimating the population mean with a specified…

Answered: 1. The mean and standard deviation of 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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Joshua wants to replicate a study where the lowest observed value is 12.4 while the highest is 12.8. He wants to estimate the population mean u to within an error of 0.025 of its true value. Using 99% confidence level, find the sample size n that he needs. Solution: (a) Known Information: Za/2 ;E = (b) Desired Sample Size
A sample of size n = 36 is drawn from a population whose standard deviation is σ = 15.6. The sample mean is x = 94.5. Construct a 95% confidence interval.
Suppose that Y is a normally distributed random variable. Assuming that the data is randomly sampled, use the following information to determine the sample variance. Show your work. Use three decimal places. • The sample size is 1225 • The upper limit of a 90 percent confidence interval for E [Y ] is 1.194 • The lower limit of a 90 percent confidence interval for E [Y ] is 1.006.
The yield per tract in a certain region of farmland is known to have a populationstandard deviation of 13 bushels. Using the old seed variety, the population mean yield μwas 39 bushels. A farmer tests a new seed variety on a random sample of 36 tracts, andfinds a sample mean yield of 45.2 bushels. Is the population mean yield using the newseed variety different from 39? Use α= 0.10.a. State the null hypothesis . __________________State the alternative hypothesis.____________________b. Find the test statistic. _____ c. Find the P-value for the test. _____________
If X = 122, o = 25, and n = 30, construct a 95% confidence interval estimate of the population mean, μ. sus
Test the claim below about the mean of the differences for a population of paired data at the level of significance x. Assume the samples are random and dependent, and the populations are normally distributed. Claim: μ ≥0; x = 0.10. Sample statistics: d= -2.4, s = 1.3, n = 19 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Hd 0 The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Since the P-value is the level of significance, C OB. Ho: Hd>0 Ha: Hd ≤0 O D. Ho: Hd #0 Ha: Hd = 0 OF. Ho: Hd 20 Ha: Hd <0 the null hypothesis. There statistically significant evidence to reject the claim.
Suppose x has a normal distribution with σ = 9. A random sample of size 36 has sample mean 20. Find a 95% confidence interval for μ.
You are going to create a 99% confidence interval for the mean amount ofsugar in coffee shop specialty drinks. You know the population standarddeviation is σ = 5.9 grams. You want your confidence interval to have amargin of error of 0.25 grams. How big should your sample size be to obtainthis margin of error?
Medical Operations The director of a medical hospital feels that her surgeons perform more operations per year than the national average of 211. She selected a random sample of 15 surgeons and found that the mean number of operations they performed was 213.2. The standard deviation of the sample was 3.8. Is there enough evidence to support the director's feelings at =α0.05? Assume that the population is approximately normally distributed. Use the critical value method and tables. State the hypotheses and identify the claim. H0: Is a claim or not a claim H1: is a claim or is not a claim Find the critical value: Compute the test value: Make the decision Summarize the results. There is or is not enough evidence to support the claim.
Find a 95% confidence interval that contains the population variance if a sample of 41 generates a sample variance of 25. Show the formula used and the quantities used and obtained from the table.
A simple random sample of size n=51 is taken from a normally distributed original population. The sample standard deviation is s=27. Find the 95% confidence interval for the population standard deviation O.
A random sample of size 16 is taken from a normal distribution with population variance 2.56 and sample mean is 130, find the margin error for 95% confidence interval of population mean a. 1.784 O b. 1.254 O . 0.784 O d. 0.194

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