The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4800. The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law. d) Would it be unusual if the sample mean were less than 7600? Round the answer to at least four decimal places.

If some data is symmetrical and unimodal, and the mean and standard deviation are 230 and 40 respectively: a)How much of the data lies between 190 and 270 b)How much lies between 150 and 230 c)How much lies between 190 and 310

The mean IQ of 200,000 current and past University of Manitoba students has been found to be 81.9. The standard deviation was found to be 13.1. The student enrollment at the University of Manitoba in 2016 was 29,987. The minimum IQ to be able to graduate from the University of Winnipeg has been found to be 104. Of the 29,987 students at the University of Manitoba in 2016, how many would be expected to be smart enough to graduate from the University of Winnipeg? Assume a Gaussian distribution.

please answer 4 and 5

Use Figure 9.5 to determine the achieved upper deviation rate and the above table to determine the assessed level of control risk under the following circumstances. Assume that the sample size was 75 items. (Round your answers to 1 decimal place.) Answer is not 13.6% for the last one

In the 1992 presidential election, Alaska's 40 election districts averaged 2038 votes per district for President Clinton. The standard deviation was 576. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.a. What is the distribution of X? X ~ N(,)b. Is 2038 a population mean or a sample mean? Select an answer Population Mean Sample Mean c. Find the probability that a randomly selected district had fewer than 1842 votes for President Clinton. d. Find the probability that a randomly selected district had between 1997 and 2099 votes for President Clinton. e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.

A labor rights group wants to determine the mean salary of app-based drivers. If she knows that the standard deviation is $3.8, how many drivers should she consider surveying to be 95% sure of knowing the mean will be within +$0.77? O 10 1351 38 O 94 66

The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.

2. The population standard deviation for the age of Fictional College students is 8.4 years. If we want to be 95% confident that the sample mean age is within one year of the true population mean age of Fictional College students, how many randomly selected Fictional College students must be surveyed?

Calculate the 95% margin of error in estimating a population mean for the following values. (Round your answer to three decimal places.) 30,² = 1.2 n =