In comparing estimators, the more efficient estimator will have a smaller standard error. True False
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- My supervisor said that this data absolutely must be modeled, yet your analysis leads you to accept an independent variable's null hypothesis. This means that you have 95% confidence of all independent variables having a value of zero simultaneously. True FalseAccording to the Pew Research Center, 14% of adults rate basketball as their favorite sport. Your boss believes the proportion may be lower among adults over age 65, and wants you to collect evidence to see if this is true. You take a survey of adults over age 65, and only 12 out of 120 of them rate basketball as their favorite sport. You would like to set �=0.05. Your boss tells you that your firm will base some expensive decisions on the results of your hypothesis test, so a higher standard of evidence for rejecting the null hypothesis is needed. What should you do? Group of answer choices Keep the significance level the same but collect more data Increase the significance level to 10% Reduce the significance level to 1% Throw out observations that look suspicious thanksNeed help writing a null hypothesis for the bivariate relationship shown in the SPSS output.
- Gary has discovered a new painting tool to help him in his work. If he can prove to himself that the painting tool reduces the amount of time it takes to paint a room, he has decided to invest in a tool for each of his helpers as well. From records of recent painting jobs that he completed before he got the new tool, Gary collected data for a random sample of 7 medium-sized rooms. He determined that the mean amount of time that it took him to paint each room was 3.6 hours with a standard deviation of 0.2 hours. For a random sample of 6 medium-sized rooms that he painted using the new tool, he found that it took him a mean of 3.2 hours to paint each room with a standard deviation of 0.3 hours. At the 0.05 level, can Gary conclude that his meantime for painting a medium-sized room without using the tool was greater than his meantime when using the tool? Assume that both populations are approximately normal and that the population variances are equal. Let painting times without using the…Three friends are having a debate. They recently read that on average Americans drive 16 miles each way when computing to work by car (ABC News, 2007). Friend A suspects that the mean for Colorado residents is likely lower than the national average because the population density of Colorado increases the likelihood that people live closer to their jobs, while friend B suspects the mean for Colorado residents is likely higher than the national average. Friend C does not find either argument very convincing and instead suspects that the mean for Colorado residents is no different from the US population mean. The three friends bet a dinner at Alinea and set out to resolve the debate. Using a random sample of 20 Colorado residents, they calculate the mean for their sample to be 14.23 miles with a standard deviation of 2.34. The three friends did not pay very close attention in their statistics class, so they need your help making sense of these numbers. Compute the 95% confidence…A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?
- On average, a sample of n = 36 scores will provide a better estimate of the population mean than a sample of n = 49 scores from the same population.The time data is therefore the (Chebyshev's Rule, Empirical Rule) says we should expect of the time data to be minutes.A police academy has just brought in a batch of new recruits. All recruits are given an aptitude test and a fitness test. Suppose a researcher wants to know if there is a significant difference in aptitude scores based on a recruits’ fitness level. Recruits are ranked on a scale of 1 – 3 for fitness (1 = lowest fitness category, 3 = highest fitness category). Using “ApScore” as your dependent variable and “FitGroup” as your independent variable, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, to see if there is a significant difference on the aptitude test between fitness groups. Identify the correct symbolic notation for the alternative hypothesis. A. H0: µ1 = µ2 B. HA: µ1 ≠ µ2 ≠ µ3 C. H0: µ1 = µ2 = µ3 D. HA: µ1 ≠ µ2
