宇同学2023-01-01 21:07:43
Find the reliability factors based on the t-distribution for the following confidence intervals for the population mean (df = degrees of freedom, n = sample size): A.A 99% confidence interval, df = 20 A 90% confidence interval, df = 20 C. A 95% confidence interval, n = 25 D. A 95% confidence interval, n = 16 A. For a 99% confidence interval, the reliability factor we use is t0.005; for df = 20, this factor is 2.845. B. For a 90% confidence interval, the reliability factor we use is t0.05; for df = 20, this factor is 1.725. C. Degrees of freedom equals n − 1, or in this case 25 − 1 = 24. For a 95% confidence interval, the reliability factor we use is t0.025; for df = 24, this factor is 2.064. D. Degrees of freedom equals 16 − 1 = 15. For a 95% confidence interval, the reliability factor we use is t0.025; for df = 15, this factor is 2.13 课后答案中的t0.005 t0.05 t.0.025 t0.025这几个数是怎么来的?
回答(1)
Evian, CFA2023-01-03 12:04:25
ヾ(◍°∇°◍)ノ゙你好同学,
请参考P496的t学生分布表,以A为例,df=20,单尾概率0.5%(1-99%之后除以2;t学生分布表的第一行p表示单尾概率),对应查表(critical value关键值)数值为2.845
题目中“confidence interval”置信区间这个信息可以推出拒绝域在双尾。
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