Q3- A- Find the critical (t) values for: 1- a= 0.01 with d.f. = 15 for a right-tailed t test. 2- a= 0.01 with d.f. = 20 for a left-tailed t test. %3D 3-a%3D0.01 with d.f.= 18 for two-tailedt test.
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- using the z table (table e), find the critical value (or values) for each. a. alpha=0.10, two tailed test b. alpha=0.01, right tailed test c. aplha=0.005, left tailed testWhat is the critical value for a two-tailed t test when α = 0.02 and d.f. = 18?Henry performed a two-tailed test for an experiment in which N = 24. He could not find his table of t critical values, but he remembered the tcv at df= 13. He decided to compare his tobt with this tcv. Is he more likely to make a Type I or a Type II error in this situation?
- You are performing a two-tailed test.If α=.002α=.002, find the positive critical value, to three decimal places.zα/2You are performing a left-tailed test.If α=.002α=.002, find the critical value, to three decimal places.zα =For each of the following situations, identify whether the appropriate test is a paired t-test (for parameter µd) or a two-sample t-test (for parameter µ1 - µ2). Briefly explain your answer. Sixty students were matched by initial pulse rate, with the two with the highest pulse forming a pair, and so on. Within each pair, one student was randomly chosen to drink a caffeinated beverage, while the other one drank an equivalent amount of water. Their pulse rates were measured 10 minutes later, to test whether caffeine consumption elevates pulse rates. To determine whether lack of sleep increases appetite, researchers recruited 50 volunteers and randomly assigned 25 of them to sleep at least 8 hours a night and the other 25 to sleep at most 5 hours a night, for 3 days. Calorie intake was recorded for all 50 volunteers for the 3-day period.
- Explain why the critical value of t, one-tailed, alpha = .05 is the same as the critical value of t, two-tailed, a .10 .if alpha is 1%, find the critical value (z-score)You are performing a right-tailed test.If α=.001α=.001, find the critical value, to four decimal places.zα=? You are performing a two-tailed test.If α=.005α=.005, find the positive critical value, to four decimal places.zα/2= ?
- Given the information what are the t-critical and t-observed values?If the df value for a two tailed test with alpha =0.05 were to increase from df=5 to df=22,what would happen to the critical values for t?Let X1, ..., Xn be a sample from an exponential population with parameter λ.(a) Find the maximum likelihood estimator for λ. (b) Is the estimator unbiased?(c) Is the estimator consistent?