Construct the Indicated Confidence Interval for the Difference Between the Two

question 175

Multiple Choice

Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Independent samples from two different populations yield the following data. $\bar { x } _ { 1 } = 958 , \bar { x } _ { 2 } = 157 , s _ { 1 } = 77 , s _ { 2 } = 88$ . The sample size is 478 for both samples. Find the $85 \%$ confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ .

• A) \(781 < \mu _ { 1 } - \mu _ { 2 } < 821\)
• B) \(800 < \mu _ { 1 } - \mu _ { 2 } < 802\)
• C) \(791 < \mu _ { 1 } - \mu _ { 2 } < 811\)
• D) \(794 < \mu _ { 1 } - \mu _ { 2 } < 808\)

---

Definitions:

1970s

A decade known for significant economic, political, and cultural changes worldwide, including the oil crisis and the end of the Bretton Woods system.

Interest-Rate Ceilings

Regulatory limits on the maximum interest rates that can be charged on loans, intended to protect consumers from excessive borrowing costs.

Ceiling Rates

The maximum interest rate that can be charged on a particular loan model or savings account, often regulated by law or government policy.

Deposits

Money placed into a bank account or financial institution for safekeeping, which can earn interest over time.