In a large population of adults, the mean IQ is 117 with a standard deviation of 24. Suppose 55 adults are randomly selected for a market research campaign. (Round all answers to 4 decimal places, if needed.)

(a) The distribution of IQis (approximately normal/ exactly normal /may or may not be normal/ certainly skewed.)

(b) The distribution of the sample mean IQ is(approximately normal/ exactly normal/ not normal/ left-skewed/ right-skewed)with a mean of?and a standard deviation of?.

(c) The probability that the sample mean IQ is less than 114 is? and greater 114 is?

d) The probability that the sample mean IQ is between 114 and 121 is?.