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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- 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]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, ?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?
- 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 04
- For a sample of n = 20 individuals, what correlation coefficient is necessary to be statistically significant at α =.05?The 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.A golfer claims that his average golf score at the course he plays regularly is less than 90. A random sample of 35 rounds of golf was selected and the scores were recorded. Assume that the standard deviation for the population of scores for this golfer is 3.4 and the true population mean for scores for this golfer is 88.2. Using α = 0.05, beta equals ________.