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.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The Federal Election Commission (FEC) collects information about campaign contributions and disbursements for candidates and political...
The Federal Election Commission (FEC) collects information about campaign contributions and disbursements for candidates and political committees each election cycle. A political action committee (PAC) is a committee formed to raise money for candidates and campaigns. A Leadership PAC is a PAC formed by a federal politician (senator or representative) to raise money to help other candidates’ campaigns. The FEC has reported financial information for 556 Leadership PACs that were operating during the 2011-2012 election cycle. The following table shows...
A hospital administrator wants to determine the proportion of emergency room patients that use the emergency...
A hospital administrator wants to determine the proportion of emergency room patients that use the emergency room (ER) for non-emergency care. She randomly samples records from 350 ER patients and determines that 74 of those patients required only non-emergency care. 1. The administrator constructs a 90% confidence interval for the true proportion of all ER patients who use the ER for non-emergency care. The error bound for the proportion EBP for this confidence interval is: A. 0.036 B. 0.072 C....
Listed below are the heights of candidates who won elections and the heights of the candidates...
Listed below are the heights of candidates who won elections and the heights of the candidates with the next highest number of votes. The data are in chronological​ order, so the corresponding heights from the two lists are matched. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a​ 95% confidence interval estimate of the mean of the population of all​ "winner/runner-up" differences. Does height appear to...
Listed below are the heights of candidates who won elections and the heights of the candidates...
Listed below are the heights of candidates who won elections and the heights of the candidates with the next highest number of votes. The data are in chronological​ order, so the corresponding heights from the two lists are matched. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a​ 95% confidence interval estimate of the mean of the population of all​ "winner/runner-up" differences. Does height appear to...
A citrus farmer would like to estimate the true mean weight μ (in grams) of all...
A citrus farmer would like to estimate the true mean weight μ (in grams) of all oranges grown in his orange grove. Based on a random sample of 100 oranges, a 97% confidence interval for μ is calculated to be (180, 200). What is the correct interpretation of this interval? Question 6 options: A) The probability that the true mean weight of all oranges grown in the orange grove is between 180 and 200 grams is 97%. B) If we...
You are given the sample mean and the population standard deviation. Use this information to construct...
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 33 business​ days, the mean closing price of a certain stock was ​$111.13. Assume the population standard deviation is ​$10.41. The​ 90% confidence interval is ​( nothing​, nothing​). ​(Round to two decimal places as​ needed.) The​ 95% confidence...
You are given the sample mean and the population standard deviation. Use this information to construct...
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 78 ​dates, the mean record high daily temperature in a certain city has a mean of 85.43 degrees°F. Assume the population standard deviation is 13.72 degrees°F. The​ 90% confidence interval is ​(nothing​,nothing​). ​(Round to two decimal places as​...
You are given the sample mean and the population standard deviation. Use this information to construct...
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 72 ​dates, the mean record high daily temperature in a certain city has a mean of 82.800F. Assume the population standard deviation is 15.250F. The​ 90% confidence interval is ​( , ​). ​(Round to two decimal places as​...
According to a union agreement, the mean income for all senior-level assembly-line workers in a large...
According to a union agreement, the mean income for all senior-level assembly-line workers in a large company equals $490 per week. A representative of a women's group decides to analyze whether the mean income for female employees matches this norm. For a random sample of nine female employees, using software, she obtains a 95% confidence interval of (464 ,498 ). Explain what is wrong with each of the following interpretations of this interval. Complete parts a through d below.a. We...
A random sample of n individuals were selected. A 95% confidence interval ($52,000 to $70,000) was...
A random sample of n individuals were selected. A 95% confidence interval ($52,000 to $70,000) was constructed using the sample results. Which of the following statement(s) is/are true? (Can choose answer more than 1) If all possible samples of size n were drawn from this population, about 95% of the population means would fall in the interval ($52,000 to $70,000). We do not know for sure whether the population mean is in the interval $52,000 and $70,000. If all possible...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT