and show work where possible Sean and Dave are friends. They like to play mobile
ID: 3224753 • Letter: A
Question
and
show work where possible
Sean and Dave are friends. They like to play mobile games and compete to see who can get the highest score. Recently, Sean posted a high score of 1.500,000 on Temple Run, which is much higherthan his previous high score and Dave suspects Sean is cheating. Dave has been recording his and Sean's daily scores on the game and calculates that Sean's average score on the game up to this point is 1,000,000 vith a standard deviation of 200,000. a. What is the z-score for Sean's new high score? b. Based on his performance up to now, what is the probability that Sean would get that score or higher (use the proportion)?Explanation / Answer
1] a) Z score = (x - mean)/standard deviation
Z score for Sean's new high score = (1,500,000 - 1,000,000)/200,000 = 2.5
b) P(Sean would get that score or higher) = P(Z > 2.5) = 1 - P(Z < 2.5)
= 1 - 0.9938
= 0.0062
2] a) Proportion of american drink more that 8 servings = P(X > 8)
= 1 - P(X<8)
= 1 - P(Z < (8 - 4.6)/1.6)
= 1 - P(Z < 2.125)
= 1 - 0.9832
= 0.0168
b) Proportion of Americans drinking less than half of 8 servings) = P(X<4)
= P(Z < (4-4.6)/1.6)
= P(Z < -0.375)
= 0.3539
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