When the test statistic is in thenon-critical region, then the nullhypothesis must not be rejected.[ Select ]- When the population standarddeviation is known and thesample size is more than 30, Z-test is more appropriate to usefor testing hypotheses than t-test.[ Select ]For a two-tailed test, the absolutevalue of the test statistic is beingcompared to the absolute valueof the critical value to make adecision.[ Select ]

For the given Select the correct choice

Answered: ▪ When the test statistic is in 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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If we are running a hypothesis test to see if the true mean breaking strength of Acme rope is less than 1000 pounds at significance level .025 with a sample of size 4 and we assume that Acme rope breaking strength is normally distributed with standard deviation 50 pounds, then what is the critical value of the standardized test statistic (three decimal place accuracy) for this hypothesis test? -1.960 -3.182 1.960 3.182
Verdadero=true falso=false
Q2
We want to conduct a hypothesis test of the claim that for middle-aged adults the population mean of their cholesterol levels is less than 198.9 mgdL. We choose a random sample of such levels. The sample has a mean of 195.9 mgdL and a standard deviation of 19.5 mgdL. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size15, and it is from a population with a distribution about which we know very little. z = t = It is unclear which test statistic to use. (b) The sample has size 19, and it is from a normally distributed population with an unknown standard deviation. z = t = It is unclear which test statistic to use.
Suppose you sample six people on their number of visits to Chick-fil-A in a month given by variable Y. Y = 3,6,7,10,15,19 (A) What is the mean of Y? Standard Deviation of Y?(B) What is the Standard Error of Y?(C) Construct 90% and 95% Confidence Intervals for Y.
True or False. Provide explanation!
We intend to estimate the average driving time of a group of commuters. From a previous study, we believe that the average time is 42 minutes with a standard deviation of 9 minutes. We want our 90 percent confidence interval to have a margin of error of no more than plus or minus 3 minutes. What is the smallest sample size that we should consider? 25 3 74 5
Suppose we know that a confidence interval for a population proportion is (0.105,0.355), with a sample proportion of p̂=0.23. What is the margin of error?
We want to conduct a hypothesis test of the claim that for middle-aged adults the population's mean of their cholesterol levels is more than 199.3 mgdL. We choose a random sample of such levels. The sample has a mean of 197.3 mgdL and a standard deviation of 19.5 mgdL. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 105, and it is from a non-normally distributed population with a known standard deviation of 19.2. z = t = It is unclear which test statistic to use. (b) The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. z = t = It is unclear which test statistic to use.
The Woodcock-Johnson Cognitive Ability test indicates that the average score is 95. The same group of 12th grade students (n = 72) in Columbus are tested and the sample mean is 110.1 and the sample standard deviation is 15.2. Do the scores provide good evidence that the mean IQ of this population is greater than 95? What is the p-value for this data what is your decision about the null hypothesis? reject or fail to reject?
The heights of young American women, in inches, are Normally distributed with mean and standard deviation = 1.6. The sample mean is 66 and the sample size is 10. The confidence is 66.00 plus or minus 0.99 for a 95% confidence interval. Question: What should the sample size be if the margin of error is desired to be plus or minus 0.5 inches remaining at a 95% confidence interval ?
The Woodcock-Johnson Cognitive Ability (WJCA) test indicates that the average score is 95. The same group of 12th grade students (n = 72) in Columbus are tested and the sample mean is 110.1 and the sample standard deviation is 15.2. Do the scores provide good evidence that the mean WJCA score of this population is greater than 95? State the null (H0) and alternative (Ha) hypotheses. 2. What are the confidence intervals for this data? 3. What is the value of the test statistic? 4. What is the p-value for this data? 5. What is your decision about the null hypothesis?: Reject Fail to Reject 6. Summarize the conclusion in the context of the problem.

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