True or False. Justify for full credit. (25 pts)
- The normal distribution curve is always symmetric to its mean.
True . this is because the mean, median and mode all lie about the same position.
(b) If the variance from a data set is zero, then all the observations in this data set are identical.
True. The variance is a measure of dispersion from the mean.So if the data set are identical then it would imply that the deviation from the mean is equal to zero.
C P(AANDA c )1, whereA c isthecomplementofA.
True. This is the case because the maximum probability in a given sample space is equal to 1.Hence if an element is not in thye sample space of A then it is in the complement of A. However the sum of the two sample spaces must always add up to 1.
dIn a hypothesis testing, if the p-value is less do not have sufficient evidence to reject the null hypothesis.
False. If the p value is less we fail to reject the null hypothesis.We fail to reject the null hypothesis when the p value is greater.
(e) The volume of milk in a jug of milk is 128 oz. The value 128 is from a discrete data set.
False. Volume of milk is continuous as it can assume any value between values of whole numbers.It cannot be counted as whole values.