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Bumek [7]
3 years ago
11

You gave $1,500 in bonuses to two employees. one employee received $200 more than the other employee.

Mathematics
1 answer:
Allushta [10]3 years ago
8 0
1,500
+ 200
       = 1,700 
Because if just one employe gets $200 more than 1,500 in bonus then you would just simply add.
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Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a simple random sample of five student
AysviL [449]

Answer:

The mean calculated for this case is \bar X=584

And the 95% confidence interval is given by:

584-2.776\frac{86.776}{\sqrt{5}}=476.271    

584+2.776\frac{86.776}{\sqrt{5}}=691.729    

So on this case the 95% confidence interval would be given by (476.271;691.729)    

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 represent the sample mean for the sample  

\mu population mean (variable of interest)

s 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 mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=584

The sample deviation calculated s=86.776

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

df=n-1=5-1=4

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,4)".And we see that t_{\alpha/2}=2.776

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

584-2.776\frac{86.776}{\sqrt{5}}=476.271    

584+2.776\frac{86.776}{\sqrt{5}}=691.729    

So on this case the 95% confidence interval would be given by (476.271;691.729)    

3 0
2 years ago
pls just give me answer its not 128 In how many ways can you put seven marbles in different colors into four jars? Note that the
Aleonysh [2.5K]

Answer:

840 ways.

Step-by-step explanation:

For the first jar, you have 7 marbles to put in.

For the second, you now have 6 marbles to put in.

For the third, you have 5 marbles.

For the fourth, you have 4 marbles.

7 * 6 * 5 * 4

= 42 * 20

= 840 ways.

Hope this helps!

4 0
2 years ago
Read 2 more answers
Choose Yes or No to tell if each statement is true. All rectangles are squares. Choose... All parallelograms are rectangles. Cho
maks197457 [2]

Answer:

No,No,Yes,Yes

8 0
3 years ago
Read 2 more answers
What is 2/9 of 18 the calculations too pls! (Fractions)
adell [148]

Answer:

18/9=2 2*2=4

answer is 4

Step-by-step explanation:

3 0
3 years ago
Please help me solve this
Brilliant_brown [7]

Answer:

the answer will be something like 18

4 0
3 years ago
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