The following information is available for two samples selected from independent normally distributed populations. Population A: n₁ = 20 s² =25 Population B: n₂ =20 S² = 16 a. Which sample variance do you place in the numerator of FSTAT? b. What is the value of FSTAT? a. Which sample variance do you place in the numerator of FSTAT? OA. S=2 = 25 OB. S2 = = 16
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- A researcher reports survey results by stating that the margin of error for the 95% middle interval of the sample means is 44.75. The population variance is assumed to be σ² = 18750. The sample size used in this survey is ________. 13 In the previous question the margin of error for the middle interval that captures 90% of sample means is ______' a 49.96 b 45.42 c 41.29 d 37.54ou 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). HigherArbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 9 men was 32 minutes per day. The standard deviation was 21 minutes per day. The mean listening time for a sample of 9 women was also 32 minutes, but the standard deviation of the sample was 8 minutes. Use a two-tailed test and at 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? (Round your answer to 3 decimal places.) The test statistic is .Decision: H0:σ21=σ22.
- Consider the following hypothesis from a sample of 22 observations that has the value ?=2.24: ?0:?=8 ??:?>8 What are the degrees of freedom for this statistic? Give the two critical values ?∗from t Distribution table that bracket t. Between what two values does the P-value of the test fall? Is the value ?=2.24 statistically significant at the 5% level? Is it statistically significant at the 1% level?A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.05 . If 273 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03 ? Round your answer to four decimal places.Suppose you are a consultant to a fast food chain. The fast food chain is interested in measuring the population variance in the number of customers it has on adaily basis in all its stores in the U.S. However, it is limited in its ability to track this number across all stores and has to select a sample. Think critically about thefollowing questions:1. There are two estimators for the population variance with different levels of bias and variance. Explain how you would go about choosing between thesetwo estimators.2. You are interested in coming up with a 95% confidence interval for the population variance. How would you go about deciding the number of outlets tosample?
- Consider the following hypothesis test: H 0: 50 H a: > 50 A sample of 55 is used and the population standard deviation is 7. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. With = 52.5, what is the value of the test statistic (to 2 decimals)?Can it be concluded that the population mean is greater than 50?Select Yes No Item 2 With = 51, what is the value of the test statistic (to 2 decimals)?Can it be concluded that the population mean is greater than 50?Select Yes No Item 4 With = 51.8, what is the value of the test statistic (to 2 decimals)?Can it be concluded that the population mean is greater than 50?The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 8 observations from one population revealed a sample mean of 23 and a sample standard deviation of 4.6. A random sample of 8 observations from another population revealed a sample mean of 27 and a sample standard deviation of 4.6. The population standard deviations are unknown but assumed to be equal. At the 0.01 significance level, is there a difference between the population means? a. State the decision rule. b. Compute the pooled estimate of the population variance. c. Compute the test statistic.DISCUSS IF TRUE OR FALSE Heteroscedasticity can be tested by just comparing variances of 2 random splits sets of error terms.
- Suppose employers care about overall productivity Z, which is made up of two components, X and Y, such that Z=X+Y (and employers know this productivity function). Suppose there are two groups (male and female) whose average Zs are the same (i.e. Z_M =Z_F), but X_M < X_F and Y_M > Y_F (and again, employers know these population averages). Researchers decide to run a resume-based audit study where they randomize names based on gender (using typically male or female names) but hold constant Y. They provide no information on X. Which of the following would suggest taste-based discrimination? ● The call-back rate is the same for both sexes. ● The call-back rate is higher for men than for women ● We can't use differences in call-back rates to find suggestive evidence of taste-based discrimination because there's too many other factors that are different across the resumes. ● The call-back rate is higher for women than for menQ. Which of the following is true of heteroscedasticity? Options- a. Population R-squared is affected by the presence of heteroscedasticity. b. Heteroscedasticity causes inconsistency in the ordinary least squares estimators. c. The ordinary least squares estimators are not the best linear unbiased estimators if heteroscedasticity is present. d. It is not possible to obtain F statistics that are robust to heteroscedasticity of an unknown form.12 A researcher reports survey results by stating that the margin of error for the 95% middle interval of the sample means is 44.75. The population variance is assumed to be σ² = 18750. The sample size used in this survey is ________. a 53 b 44 c 36 d 31