If a 95% CI for mu is (1.05, 3.95) when sigma is known a Ztest at alpha=0.05 with a Null hypothesis: mu=1 would reject the Alternative hypothesis True or False
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If a 95% CI for mu is (1.05, 3.95) when sigma is known a Ztest at alpha=0.05 with a Null hypothesis: mu=1 would reject the Alternative hypothesis
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- If the null hypothesis Ho : mean = 17.0 is rejected at alpha = 0.01 when a mean of 21.0 is obtained from a random sample, ?Exp (1) a. Test Ho:2 = 10 vs HA: 1 = 2 b. Get Most Powerful Test (MPT) at a given significance level a. c. Analyze your MPT's power . [let n = 12 and a = .20]Let X be a random sample from Exp(O). a. Find the CRLB for variance of any estimator b. Find CSS. c. Find the UMVUE using (a) as estimator and (b) as CSS d. Is the estimator in (b) efficient? Show/ Justify?
- If a researcher obtains a sample mean of M= 54, from a population with u = 46. With a given alpha, which combination of factors is most likely to result in rejecting the null hypothesis?Let X be a random sample from Exp(e). a. Find the CRLB for variance of any estimator b. Find CSS. c. Find the UMVUE using (a) as estimator and (b) as CSS d. Is the estimator in (b) efficient? Show/Justify?You obtain a t comp of .975 in a two sample independent t test with alpha at .05. Is it significant?
- For a sample of n = 20 individuals, what correlation coefficient is necessary to be statistically significant at α =.05?How large a sample is needed for a correlation of r = 0.54 to be significant using a two-tailed test with α = .05?What would our cutoff Z-score be if we want to do a two-tailed test and use an alpha of .01?
- Let X1, X2,..., X3 denote a random sample from a population having mean u and variance o?. Which of the estimators have a variance of 04The salaries of a random sample of 12 teachers from state A and 12 teachers from state B are shown in the table. At alpha= 0.05, is there enough evidence to support the claim that there is a difference in the salaries earned by teachers in state A and state B? Calculate the test statistic. State A B OA. 1.41 OB. -2.17 OC, 0.66 OD. -0.84 Teacher's Salary (thousands of dollars) 41 44 44 33 48 38 41 24 28 35 25 44 17 27 38 26 22 16 49 29 24 35 50 40The article "Behavioural Effects of Mobile Telephone Use During Simulated Driving"t reported that for a sample of 20 experimental subjects, the sample correlation coefficient for x = age and y = time since the subject had acquired a driving license (yr) vas 0.97. Why do you think the value of r is so close to 1? (The article's authors give an explanation.) O The younger a subject is, the more time since they acquired their license. O The older a subject is, the less time since they acquired their license. O The older a subject is, the more time since they acquired their license. O This is a mistake. The value should be close to -1. O This is a mistake. The value should be close to 0.