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galina1969 [7]
3 years ago
5

What is the probability that a random sample of 12 second grade students from the city in a mean reading rate of more than 96 wo

rds per minute?
Mathematics
1 answer:
adelina 88 [10]3 years ago
4 0

Complete Question

The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm.

What is the probability that a random sample of 12 second grade students from the city in a mean reading rate of more than 96 words per minute?

Answer:

P(\=x >96 )=0.01884

Step-by-step explanation:

From the question we are told that:

Sample size n=12

Sample mean \=x =90

Standard Deviation \sigma=10

Generally

\sigma_x=\frac{\sigma}{\sqrt{10}}

\sigma_x=\frac{10}{\sqrt{12}}

\sigma_x=2.887

Generally the equation for P(\=x >96 ) is mathematically given by

P(\=x >96 )=P(Z>\frac{\=x-\mu_x}{\sigma_x})

P(\=x >96 )=P*(Z>\frac{90-96}{2.887})

P(\=x >96 )=1-P(Z

P(\=x >96 )=1-0.98116

P(\=x >96 )=0.01884

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