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-BARSIC- [3]
2 years ago
14

Help with this ..............

Mathematics
2 answers:
seropon [69]2 years ago
8 0

Answer:

the answer is D. 5.6

Step-by-step explanation:

EVERYONE LISTEN!!!! PLEASE COPY THIS MESSAGE AND RESEND!!!!

If you know youdeservetodie (that is his brainly username) then report him please, he is sending hurtful comments and threatening my friends. Please all I need you to do is get this message out there, copy this message and tell everyone you know, This bully needs to be stopped!!

zhannawk [14.2K]2 years ago
3 0

Answer: D) 5.6

Step-by-step explanation:

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Which of the following is closest to 27.8 × 9.6? A. 280 B. 300 C. 2,800 D. 3,000
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The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people.
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Answer:

8.2-2.58\frac{2.2}{\sqrt{18}}=6.86    

8.2+2.58\frac{2.2}{\sqrt{18}}=9.54    

So on this case the 90% confidence interval would be given by (6.86;9.54)    And the error is given by:

ME= 2.58\frac{2.2}{\sqrt{18}} =1.338

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=8.2 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=2.2 represent the population 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 z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

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

8.2-2.58\frac{2.2}{\sqrt{18}}=6.86    

8.2+2.58\frac{2.2}{\sqrt{18}}=9.54    

So on this case the 90% confidence interval would be given by (6.86;9.54)    And the error is given by:

ME= 2.58\frac{2.2}{\sqrt{18}} =1.338

8 0
3 years ago
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