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The reading speed of second grade students in a large city is approximately normal, with a mean of
92 words per minute (wpm) and a standard deviation of
10 wpm.
What is the probability a randomly selected student in the city will read more than
97 words per minute?
The probability is ◻.
(Round to four decimal places as needed.)

The reading speed of second grade students in a large city is approximately normal, with a mean of $92$ words per minute (wpm) and a standard deviation of $10$ wpm. $\newline$ What is the probability a randomly selected student in the city will read more than $97$ words per minute? $\newline$ The probability is ◻. $\newline$ (Round to four decimal places as needed.)

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Interpret confidence intervals for population means

Full solution

Q. The reading speed of second grade students in a large city is approximately normal, with a mean of

92

words per minute (wpm) and a standard deviation of

10

wpm.

\newline

What is the probability a randomly selected student in the city will read more than

97

words per minute?

\newline

The probability is ◻.

\newline

(Round to four decimal places as needed.)

Calculate Z-score: Calculate the Z-score for $97$ wpm using the formula $Z = \frac{X - \mu}{\sigma}$ , where $X$ is $97$ wpm, $\mu$ is $92$ wpm, and $\sigma$ is $10$ wpm.
Find probability: Use the Z-score to find the probability that a student reads more than $97$ wpm. This involves looking up the Z-score of $0.5$ in the standard normal distribution table or using a calculator.

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