Chapter 3:
1. A sample of retailers reported that they had the following number of copies of statistics textbooks in inventory: 57, 81, 69, 84, 85, 79, 71, 74, 55.
a. What is the mean number of textbooks in inventory?
b. What is the median number of textbooks in inventory?
c. What is the range of the number of textbooks in inventory?
d. What is the standard deviation of the number of textbooks in inventory?
Chapter 6:
2. IRS data show that 15% of personal tax returns reporting an adjusted gross income (AGI) of more than $2,000,000 will be subject to a computer audit. This year a CPA completed 16 returns with an AGI of more than $2,000,000. The CPA wants to know the likelihood that the returns will be audited.
a. What probability distribution applies to this situation?
b. What is the probability exactly one of these returns is audited?
c. What is the probability at least one of these returns is audited?
3. For certain personal tax returns, the IRS will compute the amount to refund a taxpayer. Suppose the Chicago office of the IRS processes an average of three returns per hour that require a refund calculation.
a. What probability distribution applies to this situation?
b. What is the probability that the IRS processes exactly three refunds in a particular hour that requires a refund calculation?
c. What is the probability the IRS does not compute a refund on any return in an hour?
d. What is the probability the IRS processes at least one return in a particular hour that requires a refund calculation?
4. A CPA studied the number of exemptions claimed on tax returns. The data are summarized as follows: