(10 points)

1 answer:

6 0

There is a mathematical formula which relates these quantities, given by:

$A= \frac{P\times a}{2}$

Using this, we have:

<span> $A= \frac{P\times a}{2} \\ 484= \frac{(10n)\times 12.1 }{2} \\ \boxed {n=8}$ </span>

You might be interested in

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

Is it just me or is this confusing???

user100 [1]

Yup it is definently confsing

6 0

3 years ago

Read 2 more answers

In City A, the temperature rises 7 degrees F from 8AM to 9AM. Then the temperature drops 6 degrees F from 9AM to 10AM. In City B

madam [21]

Answer:

is there like a image of this eqation?