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Free_Kalibri [48]
2 years ago
11

Rachel measured the lengths of a random sample of 100 screws. The mean length was 2.9 inches, and the population standard deviat

ion is 0.1 inch. To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?
Mathematics
1 answer:
MaRussiya [10]2 years ago
8 0

Answer:

z = 10

Step-by-step explanation:

The value of the z-statistic is given by:

z = \frac{X - \mu}{s}

In which:

X is the measured value.

\mu is the expected value.

s = \frac{\sigma}{\sqrt{n}} is the standard deviation of the sample. \sigma is the standard deviation of the population.

In this question:

The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.

This means that \mu = 2.9, \sigma = 0.1

Random sample of 100 screws.

This means that n = 100.

To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?

3 inches, so X = 3

s = \frac{0.1}{\sqrt{100}} = 0.01

z = \frac{X - \mu}{s}

z = \frac{3 - 2.9}{0.01}

z = 10

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The equation would be y=2.10x+3.25!


Also know as A lol


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Neither P, nor A are on the sketch 
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