Suppose that 60% of all tax returns lead to a refund. A random sample of a 100 tax returns is taken.
a. What is the mean of the distribution of the sample proportion of returns leading to refunds?
b. What is the variance of the sample proportion?
c. What is the standard error of the sample proportion?
d. What is the probability that the sample proportion exceeds
0.65?
a. The mean of the distribution of the sample proportion is =
(Round to two decimal places as needed.)
b. The variance of the sample proportion is =
(Round to six decimal places as needed.)
c. The standard error of the sample proportion is =
(Round to four decimal places as needed.)
d. The probability that the sample proportion exceeds 0.65
(Round to four decimal places as needed
Suppose that 60% of all tax returns lead to a refund. A random sample of a...
Please help! Suppose that 60% of all tax returns lead to a refund. A random sample of 100 tax returns is taken a. What is the mean of the distribution of the sample proportion of returns leading to refunds? b. What is the variance of the sample proportion? c. What is the standard error of the sample proportion? d. What is the probability that the sample proportion exceeds 0.65? Click the icon to view the standard normal table. a. The...
In a population, 68% of all tax returns lead to a refund. A random sample of 1000 tax returns is taken. (a) Describe the distribution of the number of returns leading to refunds in the sample. (b) What is the expected number of returns leading to refunds in the sample? What is its variance? (c) What is the mean of the sample proportion of returns leading to refunds? (d) What is the variance of the sample proportion? (e) What is...
Individuals filing federal income tax returns prior to March 31 received an average refund of $2763 Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). A researcher suggests that a reason individuals wait until the last five days is that,, on avaerage, these individuals receive lower refunds than do early filers. For a sample of 60 individuals who filed a tax return...
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According to the Internal Revenue Service, the mean tax refund for the year 2014 was $2,800. Assume the standard deviation is $450 and that the amounts refunded follow a normal probability distribution a. What percent of the refunds are more than $3,100? (Round the Intermediate values to 2 decimal places. Round your answer to 2 decimal places.) * Answer is complete but not entirely correct. Percent 24.14% b. What percent of the refunds are more than $3,100 but less than...
Suppose a simple random sample of size n=200 is obtained from a population whose size is N = 30,000 and whose population proportion with a specified characteristic is p=0.4. Complete parts (a) through (c) below. Click Here for StatCrunch (a) Describe the sampling distribution of P. Determine the mean of the sampling distribution of . Hq (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. 0.- (Round to six decimal places as...
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The answers are in red. Please break it all down for me. I would really appreciate it! The average income tax refund for the 2009 tax year was $3007. Assume the refund per person follows the normal probability distribution with a standard deviation of $965. Complete parts a through d below. a. What is the probability that a randomly selected tax return refund will be more than $2000? 0.8508 (Round to four decimal places as needed.) b. What is the...
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Suppose a simple random sample of size n=200 is obtained from a population whose size is N = 30,000 and whose population proportion with a specified Charadelei isp.06. Complete purt (a) through k) below O C. Not normal because no.05N and np(1-P) 10 OD. Approximately normal because 0.05N and np{1 - p)<10 P Determine the mean of the sampling distribution of 06 (Round to one decimal place as noeded) Determine the standard deviation of the sampling distribution of 0.0.034541 (Round...