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jeka94
3 years ago
8

Plz help I need bt tonight

Mathematics
1 answer:
JulijaS [17]3 years ago
7 0

The answer is 25%.

First: work out the difference between the two numbers you are comparing.  

Decrease = Original Number - New Number

35-28=7


Then: divide the decrease by the original number and multiply the answer by 100.  % Decrease = Decrease ÷ Original Number × 100


7÷

28=.25

.25*100=25

<h2>Answer is 25%.</h2>
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A random sample of the costs of repair jobs at a large muffler repair shop produces a mean of $127.95. and a standard deviation
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Answer:

127.95-1.685\frac{24.03}{\sqrt{40}}=121.55    

127.95 +1.685\frac{24.03}{\sqrt{40}}=134.35    

So on this case the 90% confidence interval would be given by (121.55;134.35)    

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".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=127.95 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=24.03 represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=40-1=39

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,39)".And we see that t_{\alpha/2}=1.685

Now we have everything in order to replace into formula (1):

127.95-1.685\frac{24.03}{\sqrt{40}}=121.55    

127.95 +1.685\frac{24.03}{\sqrt{40}}=134.35    

So on this case the 90% confidence interval would be given by (121.55;134.35)    

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