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2 years ago

Question 1

Mathematics

1 answer:

Elina [12.6K]2 years ago

3 0

The salesperson would earn $800 as gross base paycheck

How many hours of did the salesperson achieve?

The salesperson only worked 40 hours of normal time and there is no overtime, which means that the hourly rate remains $10.00 base salary

In other words, in determining the biweekly pay of the salesperson, we would consider the number of hours in a week, the number of weeks payment is made for and the hourly rate

biweekly gross paycheck=number of weeks*hours per week* hourly rate

number of weeks=2

hours per week=40

hourly rate=$10.00

biweekly gross paycheck=2*40*$10.00

biweekly gross paycheck=$800.00

The biweekly gross paycheck of the sales person is $800,option is the most appropriate

Find out more about 40-hour week on:brainly.com/question/7695086

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Step-by-step explanation:

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3 years ago

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o-na [289]

Answer:

a) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401$

And rounded up we have that n=2401

b) $n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22$

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

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The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have prior information about the population proportion we can use ase estimator $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401$

And rounded up we have that n=2401

Part b

For thi case the estimator for p is $\hat p =0.07$

$n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22$

And rounded up we have that n=626

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Answer:

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Answer:

Step-by-step explanation:

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