(a) When the sample variance is zero, all the observations in the sample equal to zero. ( ) (b) A sample is always a subset of the population. ( ) (c) If a sample space contains 4 equally likely exclusive simple events, then each is necessarily associat with probability 1/5. ( )

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Chapter1: Starting With Matlab
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TRUE OR FALSE
(a) When the sample variance is zero, all the observations in the sample equal to zero. ( )
(b) A sample is always a subset of the population. ( )
(c) If a sample space contains 4 equally likely exclusive simple events, then each is necessarily associated
with probability 1/5. ( )
(d) If P(A) = 0.5, then P(A') = 0.5, where A' is the complement of A. ( )
(e) If a data set is skewed to the right, then the median is on the left-hand side of the mean. ()
(f) For any given data set, 75% of its observations fall below the third quartile. ( )
(g) The interquartile range (IQR = Q3 – Q1) is always equal to 50%. ( )
(h) If sample variance is known, then the sample standard deviation is also known since the standard
deviation is always equal to the square root of the variance.
(i) Chebychev's Theorem states that for any numerical data set, at most 25% of the observations could
be found 2 standard deviations away or further than 2 standard deviations away from the mean. ( )
(j) The Empirical Rule applies only to symmetric and bell-shaped data sets. ()
Transcribed Image Text:(a) When the sample variance is zero, all the observations in the sample equal to zero. ( ) (b) A sample is always a subset of the population. ( ) (c) If a sample space contains 4 equally likely exclusive simple events, then each is necessarily associated with probability 1/5. ( ) (d) If P(A) = 0.5, then P(A') = 0.5, where A' is the complement of A. ( ) (e) If a data set is skewed to the right, then the median is on the left-hand side of the mean. () (f) For any given data set, 75% of its observations fall below the third quartile. ( ) (g) The interquartile range (IQR = Q3 – Q1) is always equal to 50%. ( ) (h) If sample variance is known, then the sample standard deviation is also known since the standard deviation is always equal to the square root of the variance. (i) Chebychev's Theorem states that for any numerical data set, at most 25% of the observations could be found 2 standard deviations away or further than 2 standard deviations away from the mean. ( ) (j) The Empirical Rule applies only to symmetric and bell-shaped data sets. ()
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