6. [2.59/7.69 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 6.5.011.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER = 25 and = 23. Suppose x has a distribution with (a) If a random sample of size n = 32 is drawn, find x, and P(25 x 27). (Round to two decimal places and the probability to four decimal places.) MX = P(25 x 27) = (b) If a random sample of size n = 67 is drawn, find and P(25 x 27). (Round and the probability to four decimal places.) to two decimal places = P(25 x 27) = (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).) The standard deviation of part (b) is smaller than Therefore, the distribution about is narrower part (a) because of the larger sample size. Need Help? Read It Watch It 7. [3.85/7.69 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER Suppose an x-distribution has mean = PRACTICE ANOTHER BBUNDERSTAT12 6.5.012.MI.S. 6. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, x = For n = 81, x =