uestions 1: State YES or NO for each statement in the brackets provided. Let rep
ID: 3363130 • Letter: U
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uestions 1: State YES or NO for each statement in the brackets provided. Let represent the population mean, p the population proportion, X the sample mean, and jp the sample proportion. Assume that all samples are randomly and independently drawn »The probability density function can be greater than 1. » () The probability density function can be negative. »() The cumulative distribution function can be greater than 1 » () A statistic is any quantity whose value can be calculated from sample data. . ( X is a statistic. . ( p is a parameter . ()x is always normally distributed when the sample size is sufficiently large. ) is always normally distributed when the sample size is sufficiently large. 100 is a legitimate hypothesis set. 100 is a legitimate hypothesis set. ) H0 : = 100 s HA : Ho : x = 100 vs HA :XExplanation / Answer
(h((a) YES Unlike a probability, a probability density function can take on values greater than one; for example, the uniform distribution on the interval [0,12] has probability density f(x)=2 for 0x12 and f(x)=0 elsewhere.
(b) NO Any function f (x) is potentially a P.D.F. if its satisfies two conditions: f(x) is non-negative and its integral is equal to one
(c) NO sum of probabilities is 1 so CDF can’t be greater than 1
(d) YES a statistic is a single measure of some attribute of a sample(e.g., its arithmetic mean value)
(e) YES as sample mean is derived from the sample
(f) NO as p cap is a computed from sample not from population
(g) YES The Central Limit Theorem says that as the sample size increasesthe sampling distribution of (read x-bar) approaches the normal distribution.
(h) YES The population is assumed to be normally distributed as is generally the case.
(i) YES testing poulation hypothesis
(h)NO
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