Suppose you choose a random sample of size 25 from a large population of tax returns. If the population mean and population standard deviation of the adjusted gross income for these returns are, respectively, $60,000 and $20,000, which of the following is true of the distribution of the sample mean?

correct answeris optiond)Its mean and standard deviation are $60,000 and $4,000, respectively, regardless of whether the population distribution is normal or not.Normal distributionsare symmetric and bell-shaped and have same mean, median, and mode.Most members of a normally distributed population have values close to the mean—in a normal population, 96% of the members are within 2 standard deviations of the mean (much better than Chebyshev’s 75%).normally distributedpopulation, the proportion of members between the mean and one standard deviation below the mean is the same.meanandstandard deviationare $60,000 and $4,000, respectively.normal distributionrefer here