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Ivan
3 years ago
12

The mean number of words per minute (wpm) read by sixth graders is 89 with a variance of 625. if 96 sixth graders are randomly s

elected, what is the probability that the sample mean would be greater than 93.02 wpm? round your answer to four decimal places.
Mathematics
1 answer:
Luba_88 [7]3 years ago
6 0
The z-score of the information given is:
z=(x-μ)/σ
where
μ-mean
σ- standard deviation

from the information given:
x=93.02
μ=89
σ=√625=25
hence
z=(93.02-89)/25
z=0.1608
thus
P(X≥x)=1-0.5636=0.4364=43.64%
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