Question

The Federal Election Commission collects information about campaign contributions and disbursements for candidates and political committees...

The Federal Election Commission collects information about campaign contributions and disbursements for candidates and political committees each election cycle. During the 2012 campaign season, there were 1,619 candidates for the House of Representatives across the United States who received contributions from individuals. The table below shows the total receipts from individuals for a random selection of 40 House candidates rounded to the nearest $100.

$3,600

$1,243,900

$10,900

$385,200

$581,500

$7,400

$2,900

$400

$3,714,500

$632,500

$391,000

$467,400

$56,800

$5,800

$405,200

$733,200

$8,000

$468,700

$75,200

$41,000

$13,300

$9,500

$953,800

$1,113,500

$1,109,300

$353,900

$986,100

$88,600

$378,200

$13,200

$3,800

$745,100

$5,800

$3,072,100

$1,626,700

$512,900

$2,309,200

$6,600

$202,400

$15,800

  1. Determine the mean and standard deviation of the sample (make sure to put $ before your value):

Mean:

Standard deviation:

       2.What is the point estimate for the population mean? ______________ (please put $ before your number)

       3.What is meant by the term “95% confident” when constructing a confidence interval for a mean?

A.

If we took repeated samples, approximately 95% of the confidence intervals calculated from those samples would contain the true value of the population mean.

B.

If we took repeated samples, the sample mean would equal the population mean in approximately 90% of the samples.

C.

If we took repeated samples, approximately 95% of the samples would produce the same confidence interval.

D.

If we took repeated samples, approximately 95% of the confidence intervals calculated from those samples would contain the sample mean

          4. If we took this same sample 200 times, using a 95% confidence level, how many confidence intervals would you expect to be wrong?

            5. Create a 95% confidence interval for the mean total individual contributions. (Round your answer to the nearest dollar and put $ before your answer) .      

            6. Using 95% confidence, calculate the margin of error. $_______________ (put $ before your answer)

            7. State the previous confidence interval is the form of p'±ME. (put $ before your answer)

            8. If we were to increase our sample size, what affect would you expect this to have on the margin of error?

            9. Would the data support or fail to support the following claim? Provide your answer in the form of a complete paragraph, including a defense for your answer using appropriate terms from this section. You may find it helpful to reference the data and confidence intervals.

Claim: The average amount of campaign contributions from the US House is around $200,000.

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