A(n) __________ is the number of standard deviations a score is above or below the mean.

Mathematics

1 answer:

Neporo4naja [7]3 years ago

6 0

The answer is Standard Score (Or Z-Score)

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Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

podryga [215]

Answer:

The value is $n = 384$

The correct option is a

Step-by-step explanation:

From the question we are told that

The margin of error is E = 0.05

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally since the sample proportion is not given we will assume it to be

$\^ p = 0.5$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5)$

=> $n = 384$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

Generally if the level of confidence increases, the critical value of $\frac{\alpha }{2}$ increase and from the equation for margin of error we see the the critical value varies directly with the margin of error , hence the margin of error will increase also

So If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.

8 0

3 years ago

Find the distance between the following two points: (-1, -2) and (-1, 3)

scZoUnD [109]

5 because -2+5=3 explanation

6 0

3 years ago

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If the sin 30° is 1 over 2, then the cos ____° = _____. (4 points) 60° ; 1 over 2 30° ; square root 2 over 2 60° ; square root 3

umka21 [38]

Step-by-step explanation:

$\sin 30 \degree = \cos 60 \degree = \frac{1}{2} \\$