# Question: A study considers if the mean score on a college

A study considers if the mean score on a college entrance exam for students in 2010 is any different from the mean score of 500 for students who took the same exam in 1985. Let μ represent the mean score for all students who took the exam in 2010. For a random sample of 25,000 students who took the exam in 2010, x = 498 and s = 100.

a. Show that the test statistic is t = -3.16.

b. Find the P-value for testing H0: μ = 500 against Ha: μ ≠ 500.

c. Explain why the test result is statistically significant but not practically significant.

a. Show that the test statistic is t = -3.16.

b. Find the P-value for testing H0: μ = 500 against Ha: μ ≠ 500.

c. Explain why the test result is statistically significant but not practically significant.

## Answer to relevant Questions

Example 11 analyzed political conservatism and liberalism in the United States. Suppose that the sample mean of 4.11 and sample standard deviation of 1.43 were from a sample size of only 25, rather than 1933. a. Find the ...Exercise 9.19 tested the claim that female employees were passed over for management training in favor of their male colleagues. Statewide, the large pool of more than 1000 eligible employees who can be tapped for management ...A person who claims to possess extrasensory perception (ESP) says she can guess more often than not the outcome of a flip of a balanced coin. Out of 20 flips, she guesses correctly 12 times. Would you conclude that she truly ...A bank wants to evaluate which credit card would be more attractive to its customers: One with a high interest rate for unpaid balances but no annual cost, or one with a low interest rate for unpaid balances but an annual ...When it is operating correctly, a machine for manufacturing tennis balls produces balls with a mean weight of 57.6 grams. The last eight balls manufactured had weights 57.3, 57.4, 57.2, 57.5, 57.4, 57.1, 57.3, 57.0 a. Using ...Post your question