dard exam ground rules apply. One sheet of notes is OK. State any calculator fu

Question

dard exam ground rules apply. One sheet of notes is OK. State any calculator fu ng with its inputs. You must show your work for credit. 1) The points earned on exam by a group of statistics students are listed below 3237 41 44 46 48 53 55 56 57 Toal 33 59 63 65 66 68 69 70 71 74 74 75, 77 78 79 80 82 83 86 89 92 95 99 100 a) Find Pro. That is, what number of points defines the 70th percentile? W 70th percentile? 19th per b) A student who earned 57 g.. in Per centile b) A student who earned 57 points corresponds to which percentile? /32 = .27 27 272 In a certain bowl of M&M; candies, there'are 17 yellow plain ones, 14 yell plain ones, 15 orange peanut ones, 18 green plain ones, and 12 green pear

Explanation / Answer

Mean = 68.58

Standard deviation = 17.64

A) P(X < x) = 0.7

Or, ((X - mean)/(SD/sqrt (n)) < (x - 68.58)/(17.64/sqrt(33)) = 0.7

Or, P(Z <  (x - 68.58)/(17.64/sqrt(33)) = 0.7

Or,  (x - 68.58)/(17.64/sqrt(33)) = 0.52

Or, x = 0.52 * (17.64/sqrt(33)) + 68.58

Or, x = 70.18

B) P(X < 57) = P((X - mean)/(SD/sqrt (n) < (57 - 68.58)/((17.64/sqrt(33))

= P(Z < -3.77)

= 0

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