Assume that all SAT scores are normally distributed with a mean µ = 1518 and a standard deviation σ = 325. If 100 SAT scores (n = 100) are randomly selected, find the probability that the scores will have an average less than 1500.
TIP: Make the appropriate z-score conversion 1st, and then use Table A-2 (Table V) to find the answer.
Assume that all SAT scores are normally distributed with a mean µ = 1518 and a standard deviation σ = 325. If 100 SAT scores (n = 100) are randomly selected, find the probability that the scores will have an average less than 1500. TIP: Make the appropriate z-score conversion 1st, and then use Table A-2 (Table V) to find the answer.
A. 0.2912
B. -0.55
C. 0.55
D. 0.7088
Solution :
Given that ,
= 1518
= / n = 325 / 100 = 32.5
P( < 1500) = P(( - ) / < (1500 - 1518) / 32.5)
= P(z < -0.55)
Using z table
= 0.2912
correct option is = A
Assume that all SAT scores are normally distributed with a mean µ = 1518 and a...
Assume that all SAT scores are normally distributed with a mean u = 1518 and a standard deviation o = 325. If 100 SAT scores (n = 100) are randomly selected, find the probability that the scores will have an average less than 1500. TIP: Make the appropriate z-score conversion 1st, and then use Table A-2 (Table V) to find the answer. 0.2912 -0.55 0.55 0.7088
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