True or False Justify for full credit 25 pts a The volume of

True or False. Justify for full credit. (25 pts) (a) The volume of milk in a jug of milk is 128 oz. The value 128 is from a discrete data set. (b) If the variance from a data set is zero, then all the observations in this data set must be zero. (c) P(A AND A^c) = 0, where A^c is the complement of A (d) The mean and median for a normal distribution are always the same. (e) In a hypothesis testing, if the p-value is less than the significance level a, we do not have sufficient evidence to reject the null hypothesis.

Solution

a. False, it is a continuous data set.

b. False. There is no spread. Hence, all data is of the same value.

c. True. They have nothing in common.

d. True. A symmetrical graph has equal mean, median, and mode.

e. False, we have sufficient evidence to reject the null.