Question

1). A credit card company says that their clients have a mean credit card balance of less than $3000. A random sample of 14 clients showed an average balance of $2900 with sample standard deviation of $350. At ? = 0.10, conduct all seven steps of the hypothesis test to test the claim. Assume the population is normally distributed.

(2). A researcher claims that at least 46% of U.S. adults think that the IRS is not aggressive enough in pursuing people who cheat on their taxes. In a random sample of 600 U.S. adults, 43% say that the IRS is not aggressive enough in pursuing people who cheat on their taxes. At ? = 0.01, is there enough evidence to reject the researcher’s claim? Conduct the hypothesis test.

(3). A consumer group claims that the mean annual consumption of high fructose corn syrup by a person in the U.S. is 48.8 pounds. A random sample of 120 people in the U.S. has a mean annual high fructose corn syrup consumption of 49.5 pounds. Assume the population standard deviation is 3.6 pounds. At ? = 0.05, conduct all seven steps of the hypothesis test to test the claim (no P-value).

Answer 1