1. TRUE or FALSE: Identify which of the following are valid statements and which
ID: 3053706 • Letter: 1
Question
1. TRUE or FALSE: Identify which of the following are valid statements and which ones are false. (a) T F The mean of the t-distribution equals the mean Ho hypothesized under Ho (b) T F All other things being the same, we expect a 95% confidence interval using a standard deviation computed from the sample to be narrower than a 95% confidence interval using a standard deviation assumed to be known from the population (c) T F If the distribution of X is skewed, but we take 100 samples of size 10 then, by the CLT, the sampling distribution of X is approximately normally distributed. (d) T F The mean of a population, ?, is random and hence is considered a random variable. (e) T F The main goal of statistical inference is to generalize information found in the sample to the entire population of interest lation parameter. distribution of the corresponding sample mean account for other sources of variability in addition to the variability of the sample mean. f) T F Confidence intervals are generally constructed to obtain an estimate for an unknown popu- (g) T F High precision of a confidence interval is associated with low variability of the sampling (h) T F The Standard Normal distribution is preferred over the t-distribution when we need toExplanation / Answer
(a)
It is true.
(b)
Sample has more variability so t-distribution has greater spread.
That is confidence interval when population standard deviation is unknown is wider than confidence interval when population standard deviation is known.
Answer: False
(c)
For applying CLT, if population is not normally distributed then sample size should be at least 30.
Answer: False
(d)
It is constant.
Answer: False
(e)
Answer: True
(f)
Answer: True
(g)
Answer: True
(h)
Answer: False
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.