Please help! Suppose that 60% of all tax returns lead to a refund. A random sample...
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 =...
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...
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...
A random sample of size n = 60 is selected from a binomial distribution with population proportion p = 0.25. (a) What will be the approximate shape of the sampling distribution of p? O skewed to the right O skewed to the left O normal (b) What will be the mean and standard deviation (or standard error) of the sampling distribution of p? (Round your answers to four decimal places.) C standard deviation mean (c) Find the probability that the...
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...
In a random sample of 100 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3432 with a standard deviation of $2588. Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns. Click the icon to view the t-distribution table. The lower bound is $ (Round to the nearest dollar as needed.)
please complete (b)
Question Help Suppose a simple random sample of size n = 125 is obtained from a population whose size is N25,000 and whose population proportion with a specified characteristicip. 02. Complete parts (a) through (c) below. WWW Determine the mean of the sampling distribution of 02 (Round to one decimal place as needed) Determine the standard deviation of the sampling distribution of 0.0035777 (Round to six decimal places as needed) (1) What is the probability of obtaining...
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In a random sample of 81 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3425 with a standard deviation of $2547. Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns. Click the icon to view the t-distribution table. The lower bound is 2960 (Round to the nearest dollar as needed.)
Suppose a random sample of n = 25 observations is selected from a population that is normally distributed with mean equal to 106 and standard deviation equal to 15. (a) Give the mean and the standard deviation of the sampling distribution of the sample mean x̄. mean= standard deviation= (b) Find the probability that x̄ exceeds 115. (Round your answer to four decimal places.) (c) Find the probability that the sample mean deviates from the population mean μ...
In a random sample of 64 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3435 with standard deviation of $2559. Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns. Click the icon to view the t-distribution table. The lower bound is $. (Round to the nearest dollar as needed.) The upper bound is $(Round to the nearest dollar as needed.) Interpret a...