Question 18

Question 18 When is the distribution of X or X ? X or X - N( )." This notation is referring to N, a normal distribution, with the mean given in the first space and the standard deviation in the second space. Remember that the standard deviation of the sample means is different from the population standard deviation. The lengths of adult males' hands are normally distributed with mean 194 mm and standard deviation is 7.2 mm. Suppose that 6 individuals are randomly chosen. Round z-scores to 2 decimal places for use in calculations. Round all other answers to 4 where possible. a. What is the distribution of j? - N( b. For the group of 6, find the probability that the average hand length is more than 195. c. Find the third quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? O NOO Yes