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asambeis [7]
3 years ago
13

One year after graduating from college, Sam earned $42,000. Each year, he earned $4000 more.

Mathematics
2 answers:
Temka [501]3 years ago
8 0

Answer:

=4000n+38,000

Step-by-step explanation:


xxMikexx [17]3 years ago
4 0
The answer is:
an=4000n+38,000

Sam has $42,000 one year after graduating. So when he graduates, he would have $38000.

Hope this helps!

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A manufacturer of coffee vending machines has designed a new, less expensive machine. The current machine is known to dispense (
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Answer:

t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864

p_v = 2*P(\chi^2_{14}>16.786)=0.5355

And the 2 is because we are conducting a bilateral test.

\alpha=0.05 since the the p_v >0.05 we fail to reject the null hypothesis.

\alpha=0.01 since the the p_v >0.01 we fail to reject the null hypothesis.

Step-by-step explanation:

Data given

\mu=7 population mean (variable of interest)

\sigma=0.2 represent the population standard deviation

s=0.219 represent the sample deviation

n=15 represent the sample size

\alpha=0.05,0.01 represent the values for the significance level  

Hypothesis test

On this case we want to check if the population standard deviation is equal or not to 0.2, so the system of hypothesis are:

H0: \sigma = 0.2

H1: \sigma \neq 0.2

In order to check the hypothesis we need to calculate the statistic given by the following formula:

t=(n-1) [\frac{s}{\sigma_o}]^2

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864

P value

We know the degrees of freedom of the distribution 14 on this case and we can find the p value like this:

p_v = 2*P(\chi^2_{14}>16.786)=0.5355

And the 2 is because we are conducting a bilateral test.

\alpha=0.05 since the the p_v >0.05 we fail to reject the null hypothesis.

\alpha=0.01 since the the p_v >0.01 we fail to reject the null hypothesis.

3 0
3 years ago
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