bossboybaker
25.02.2020 •
Mathematics
SAT Scores: Assume that in 2010 the mean mathematics SAT score was 555, and the standard deviation was 125. A sample of 65 scores is chosen. Use the Ti-84 calculator. What is the probability that the sample mean score is less than 522?
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Ответ:
Probability that the sample mean score is less than 522 = 0.0166 .
Step-by-step explanation:
We are given that in 2010 the mean mathematics SAT score was 555, and the standard deviation was 125 i.e.;
Mean, = 555 and Standard deviation, = 125
Also, Z = ~ N(0,1) where, X bar = sample mean
n = sample size
Now, Probability(X bar < 522) = P( < ) = P(Z < -2.1284)
= P(Z > 2.1284) = 0.0166
The above probability is calculated using z table.
Therefore, the probability that the sample mean score is less than 522 is 0.0166 .
Ответ:
1
Step-by-step explanation:
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