What is the difference between a standard normal distribution and a nonstandard normal distribution? choose the correct answer below. a. the standard normal distribution has a standard deviation that is less than or equal to the mean, while a nonstandard normal distribution has a standard deviation that is greater than the mean. b. the standard normal distribution has a mean of 0 and a standard deviation of 1, while a nonstandard normal distribution has a different value for one or both of those parameters. c. the standard normal distribution has a standard deviation that is greater than the mean, while a nonstandard normal distribution has a standard deviation that is less than or equal to the mean. d. the standard normal distribution has a mean of 1 and a standard deviation of 0, while a nonstandard normal distribution has a different value for one or both of those parameters.

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above