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2 years ago

What is the z score of x=12 if it is two standard deviations to the right of the mean?

Mathematics

1 answer:

Tanzania [10]2 years ago

3 0

The value of the Z-score will be equal to 2.

<h3>What is Z-score?</h3>

The z score indicates how many standard deviations your score is from the mean.

At the mean position, the standard deviation is 0 now the z score is the measure of the data which is how far from the mean. So the given data is at two standard deviations to the right of the mean so the Z-Score will be 2.

Therefore the value of the Z-score will be equal to 2.

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3 years ago

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Yes, this provide enough evidence to show a difference in the proportion of households that own a desktop.

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We are given that National data indicates that 35% of households own a desktop computer.

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Let p = population proportion of households who own a desktop computer

SO, Null Hypothesis, $H_0$ : p = 25% {means that 35% of households own a desktop computer}

Alternate Hypothesis, $H_A$ : p $\neq$ 25% {means that % of households who own a desktop computer is different from 35%}

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T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of 570 households who owned a desktop computer = 40%

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So, test statistics = $\frac{0.40-0.35}{{\sqrt{\frac{0.40(1-0.40)}{570} } } } }$

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Therefore, we conclude that % of households who own a desktop computer is different from 35%.

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