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- If the 95 percent confidence interval for an estimated coefficient runs from 1.0 to 3.2, then there is a ____ probability that the true value of the coefficient ____. A. 95 percent; lies inside of the range from 1.0 to 3.2 B. 95 percent; equals 1.0 or 3.2 C. 5 percent; lies inside of the range from 1.0 to 3.2 D. 95 percent; lies outside of the range from 1.0 to 3.2Which one of the following is the most appropriate as a definition of R^2 (R- squared) in the context that the term is usually used? Select one: a. It is the correlation between the fitted values and the residuals b. It is the proportion of the total variability of y that is explained by the model c. It is the correlation between the fitted values and the mean. d. It is the proportion of the total variability of y about its mean value that is explained by the modelFor each of the questions below, choose the correct answer(s) and providejustification in terms of why the other answer(s) are incorrect. Q2A. Which of the following are possible consequences of overfitting an ARIMAmodel?i. The model may have high bias.ii. The model may have high out-of-sample variance.iii. The model may have poor predictive performance.iv. All of the above
- Assume that a simple random sample has been selected from a normally distributed population and test the given claim.Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, teststatistic, or P-value as appropriate, and state the final conclusion that addresses the original claim.A random sample of 100 pumpkins is obtained and the mean circumference is found to be 40.5 cm. Assuming that the population standard deviation is known to be 1.6 cm, use a 0.05significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9 cm.Create a 95% confidence interval for the true mean test score based on this sample and describe the possible Type I and II errors for this scenario.Consider random samples of size 1100 from a population with proportion 0.65. Find the standard error of the distribution of sample proportions.Round your answer for the standard error to three decimal places.standard error = Enter your answer in accordance to the question statement the absolute tolerance is +/-0.001ou are conducting a hypothesis test on the body weights of male fraternity members. The research (alternative) hypothesis is that the averge weight is greater than 200 lbs. Your test will be at the 0.01 significance level. You take a sample of 64 men, and find that the sample average is 210 lbs, and the standard deviation is 20 lbs. The value of your test statistic is, therefore, 4.00. Would your test statistic be higher or lower if your sample stats had been estimated from a sample of 640 men, rather than 64? Group of answer choices Lower The same (neither higher, nor lower). Higher
- Trader Joes requires an area to have an average income of at least $45,000 to consider having a store. The Economics faculty at WKU constructed a 95% confidence interval for the average amount income of Bowling Green residents and computed this to be $26,000-$55,000. Which of the following statements is true? A. 95% of Bowling Green residents earn between $26,000 and $55,000 annually. B. 95% of Bowling Green residents in the sample to earn between $26,000 and $55,000 annually. C. With 95% confidence, we can say that Bowling Green residents earn between $26,000 and $55,000 annually. D. We are unable to determine without knowing the margin of error.The elasticity of demand for gasoline has been estimated to be -2.0, and the standard error is 0.25. What is the t-statistic for the estimated elasticity of demand for gasoline and is it statistically significant at the 95 percent confidence level?By how much the consumer sentiment Index has to change before you can consider the change statistically significant at the 95% confidence level? What would be the reduction in sampling error if you increase the sample size from 500 to 1000?
- In testing the population mean,a left-tailed test has a test statistic of z = -2.72.Which is the correct critical value, if we use α=0.005: 2.576 -2.576 1.645 -1.645Q10. Part part ii drop down boxes both give the options: A: Overestimate B: Underestimate C: Accurate estimateExercise How many children will be needed in the survey to determine the level of dental health among public elementary school children in Community X, if the researcher would like that his estimate to be within 10% of the true value with a reliability level of 99%, if previous research shows a standard deviation of the dental caries score is 5?5?