Choose True if the statement is true, otherwise False.PromptsSubmitted AnswersFalseFor a specific confidence interval, the larger the sample size,the smaller the margin of error will beThe best point estimator of the population mean is thesample mode.FalseWhen the population standard deviation is unknown, valueshould be used in computing a confidence interval for amean is Za/2.TrueWhen a 99% confidence interval is calculated instead of aTrue95% confidence interval with n being the same, the marginof error will be larger.

Answered: Image /qna-images/answer/ecbaaf4a-11cc-4d1e-ab58-780c2891b243.jpg

Answered: For a specific confidence interval, 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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Suppose that the population of lengths of all fully grown male killer whales is approximately normally distributed. A recent article published in the Zoology Now journal claims that the mean of this population is 6.99 m. You want to test the claim made in the article, so you select a random sample of 10 fully grown male killer whales and record the length of each. Follow the steps below to construct a 90% confidence interval for the population mean of all lengths of fully grown male killer whales. Then state whether the confidence interval you construct contradicts the article's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. (b) Take Sample Point estimate: 0 Sample standard deviation: 0 Critical value: 0 Compute Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 90% confidence interval. (Choose the correct critical value…
Students on an internship program in the US Fish and Wildlife Service wishes to test the nitrogen content on rivers and waterways in the US Midwest states. 36 sample measurements were taken in various rivers and waterways and the average nitrogen content is found to be in 2.6 grams per milliliter. Find the 95% and 99% confidence intervals for the mean mercury content. Population standard deviation is 0.3 gram per milliliter. If the students want the error to be less than 0.05, how large a sample size woould be required at 95% confidence? Would the required sample size increase if a higher degree of confidence is set? O a. 95% CI: 2.50 < µ< 2.70; 99% CI: 2.47 <µ<2.73. Sample size should be 138. Sample size required will increase if the students set the % confidence higher O b.95% CI: 2.50 < µ<2.70; 99% CI: 2.47 < µ< 2.73. Sample size should be 139. Sample size required will increase if the students set the % confidence higher O c. 95% CI: 2.47 < µ<2.73; 99% CI: 2.50 < µ<2.70. Sample…
A veterinarian wants to estimate the mean weight of a cat in their city. They take a random sample of 19 cats and found a mean of 10.9 lbs with a sample standard deviation of 1 lbs. Find the 95% confidence interval of the mean. Assume that the cat weights are normally distributed. Do not round in between steps. Round answers to at least 4 decimal places.
The ages of registered voters in Smith County are normally distributed with a population standard deviation of 3 years and an unknown population mean. A random sample of 18 voters is taken and results in a sample mean of 55 years. Find the margin of error for a 95% confidence interval for the population mean. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.
A 90% confidence interval for a population mean is (10, 20). What is the margin of error of the interval?
One scientist wondered if there was a difference in the average daily intake of dairy products between men and women. He took a sample of n1 = 50 adult men and n2 = 50 adult women and recorded their daily intake of dairy products in grams per day. A summary of the sample results is presented in the table. Construct a 95% confidence interval for the difference in the average daily intake of dairy products for men and women. Can it be concluded that there is a difference in the average daily intakes for men and women?
A researcher wants to make a 95% confidence interval for the population mean. She wants the maximum error of estimate to be within 4.8 of the population mean. The population standard deviation is 18.65. What would be the sample size the yield a maximum error of estimate within 4.8 of the population mean?
a critic points out that this 95 % confidence interval is only accurate if the statistic follows a normal distrubution , or if the normal model is a good approximation. is this true for this data? explain
Identify the y-score for a95% confidence interval if the sample size is 50.

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