Question 6 Incorrect 0.00 points out of 1.00 V Remove llag Question 1 Incorrect 0.00 points out of 1.00 F Flag question The distribution of income in some Third World countries is considered wedge shaped (many very poor people, very few middle income people, and even fewer wealthy people). Suppose we pick a country with a wedge shaped distribution. Let the average salary be $3,000 per year with a standard deviation of $6,000. We randomly survey 1,000 residents of that country. Why is it more likely that the average of the 1,000 residents will be from $3,000 to $3,100 than from $3,100 to $3,200? Select one: a. The distribution of the sample mean will have higher probabilities closer to the population mean. - b. Because the standard deviation is so high, there is a high probability the sample mean is close to the population mean. 3! Draw a normal distribution and label each of the numbers on it to see why. c. It is actually more likely that the average of the 1,000 residents will be from $3,100 to $3,200. d. The sample size was sufficiently large to ensure a sample mean close to the population mean. Your answer is incorrect. Use the shape of a normal distribution to help you see why. ? L_l According to the Internal Revenue Service (IRS), the average length of time for an individual to complete the tax return form is 10.18 hours. The distribution of the length of time to complete tax return is unknown. Let us assume that the population standard deviation is 2 hours. Suppose we randomly sample 36 taxpayers. Let 2 denote the average length of time for a sample of 36 taxpayers to complete the tax return. What is its distribution? Select one: a. Unknown. - b. Normal distribution with mean 10.18 hours and standard deviation 2 hours. 8 The standard deviation for the variable x is 2, but the standard deviation for the variable i will be smaller. c. Normal distribution with mean 10.18 hours and standard deviation 1/3 hours. d. Normal distribution. Your answer is incorrect. According to the central limit theorem, the distribution of the sample mean it (regardless of the distribution of x) will be approximately normal with mean it and standard deviation alt. Here, you will need to identify from the problem statement the values of the population mean u, the population standard deviation 0, and the sample size n