Officials are concerned that coyotes are getting larger and wreaking havoc on local wildlife. Coyotes were captured, weighed, and released in 2022 and 2023 with the data posted above. Perform a two-sample t-test for whether the average weight of a coyote has changed (2023 – 2022). It is safe to assume coyote weights for both years follow a normal distribution but do not assume the variance is equal between the years. Let . Calculate the test statistic for the appropriate test. Round to 3 decimals.

Suppose the daily coffee consumption of IU students follows a uniform distribution. Your friend believes the average amount of coffee an IU student drinks per day is less than 2 cups. You collect a sample of 31 IU students and record their daily coffee intake. Are the guidelines met for conducting a hypothesis test for a single mean?

A marketing analyst at the IU bookstore wants to know whether students spend more on IU-branded merchandise online or in-store. The analyst collects random samples of purchase amounts from both sales channels. The sample shows that students spend an average of $58.40 online and $63.75 in-store. Assuming the data are approximately normally distributed and the variances are not necessarily equal, a hypothesis test is conducted to determine whether there is a significant difference () in the average spending between online and in-store customers. The test yields a p-value of 0.037. If instead, the marketing analyst tests whether there is a significant difference by more than $3.00, what would happen to the p-value?

                                                                                                                                 Following a pollutant leak in a nearby pond, a researcher is concerned that the frogs living near this pond may have become contaminated. If more than 10% of frogs living near the pond have become contaminated, county officials will need to shut down the pond and perform emergency cleaning measures. A county official collects a sample of 100 frogs and finds 8 of these frogs to be contaminated. Are the guidelines met for conducting a hypothesis test for a single proportion?

 Answer each question below at 2 point each1. The first type of international office that a bank forms outside its home country that is exploratory in nature is known as:a) an Edge Act bank.b) a head office.c) a representative office.d) an agreement corporation.e) a foreign branch..2. Which of the following is an example of a Eurocurrency?a) A branch of a Canadian bank located in Paris accepts a deposit in U.S. dollars.b) A branch of a U.S. bank located in Tokyo accepts a deposit in Japanese yen.c) A branch of a U.S. bank located in New York accepts a deposit in U.S. dollars.d) A branch of a London bank located in Paris accepts a deposit in Euros.e) A branch of a Swiss bank located in Mexico City accepts a deposit in Mexican pesos..3. The default risk associated with loans made to borrowers outside a bank’s home country is called:a) foreign exchange risk.b) sovereign risk.c) euro risk.d) country risk.e) LC risk..4. A time draft for payment at a future date, often used in international trade is known as:a) a reverse repurchase agreement.b) a repurchase agreement.c) a line of credit.d) a letter of credit.e) a banker’s acceptance..5. The risk that a foreign government will suspend debt service payments is known as:a) LC risk.b) foreign exchange risk.c) euro risk.d) sovereign risk.e) country risk.

Explain how the four components (financing, insurance, delivery, and payment) interact in a private insurance model.

Let f:  denote  a function with the property that f(a+b) = f(a) *f(b) for all real numbers a and b. Then prove the following assuming f(0) is not zero. 1. f(0) =1   (5 points)   2. f(-x) =1/f(x), for all real numbers x. (5 points)   3. f(n*x) = f(x)^n for all real numbers x and all integers n.  (10 points)

World Skies’ Flight 167 takes off at 50 percent capacity. The unoccupied seats cannot be stored for later sale or use. This is an example of which service characteristic?

________ uses buyers’ perceptions of what a product is worth as the key to pricing.

Establishing prices for razor blades that must be used with a razor blade system is known as ________ pricing.