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The average reading speed of students completing a speed-reading course is 435 words per minute (wpm). If the standard deviation

nekit [7.7K]

Answer:

a)

$Z = -1.58$

Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.

b)

$Z = 0.67$

Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.

c)

$Z = -0.25$

Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.

d)

$Z = 2.92$

Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.

Step-by-step explanation:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations a measure X is above or below the mean.

In this problem, we have that:

$\mu = 435, \sigma = 60$

a. 340 wpm

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{340 - 435}{60}$

$Z = -1.58$

Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.

b. 475 wpm

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{475 - 435}{60}$

$Z = 0.67$

Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.

c. 420wpm

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{420 - 435}{60}$

$Z = -0.25$

Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.

d. 610wpm

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{610 - 435}{60}$

$Z = 2.92$

Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.

6 0

3 years ago

Suppose a pentagon graphed on a coordinate plane willundergo a dilation.Which of these is a true statement?

butalik [34]

Answer:

I think its C

Step-by-step explanation:

6 0

3 years ago

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Please i need help :

Liula [17]

Answer:

C hope this helps

Step-by-step explanation:

8 0

3 years ago

Divide and find quotient and reminder 4x³+6x²+19x-5 by 2x+5

gayaneshka [121]

Answer:

2x+5 ) 4x³ + 6x² + 19x - 5 (2x²-2x

4x³ +10x²

- -__________

- 4x² + 19x

- 4x² - 10x

+ +_______

29x - 5

Quotient = 2x² - 2x

Remainder = 29x - 5

7 0

3 years ago

Equivalent expression to x - 9 =4

Juli2301 [7.4K]

Answer:X=13

Step-by-step explanation:13-9=4

5 0

2 years ago

Read 2 more answers

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