# Question: The SAT is required of most students applying for college

The SAT is required of most students applying for college admission in the United States. This standardized test has gone through many revisions over the years. In 2005, a new writing section was introduced that includes a direct writing measure in the form of an essay. People argue that female students generally do worse on math tests but better on writing tests. Therefore, the new section may help reduce the usual male lead on the overall average SAT score (Washington Post, August 30, 2006). Consider the following scores on the writing component of the test of 8 male and 8 female students.

The data set, labeled SAT_Writing, can also be found on the text website. Assume that scores are normally distributed.

a. Construct the null and the alternative hypotheses to test if females outscore males on the writing component of the test.

b. Compute the value of the test statistic. Do not assume that the population variances are equal.

c. Implement the test at α = 0.01 and interpret yourresults.

The data set, labeled SAT_Writing, can also be found on the text website. Assume that scores are normally distributed.

a. Construct the null and the alternative hypotheses to test if females outscore males on the writing component of the test.

b. Compute the value of the test statistic. Do not assume that the population variances are equal.

c. Implement the test at α = 0.01 and interpret yourresults.

**View Solution:**## Answer to relevant Questions

An engineer wants to determine the effectiveness of a safety program. He collects annual loss of hours due to accidents in 12 plants “before and after” the program was put into operation. The data set, labeled ...Consider the following competing hypotheses and accompanying results from matched samples:H0: µD ≤ 2; HA: µD > 2 = 5.6 , sD = 6.2 , n = 10a. Calculate the value of the test statistic and approximate the p-value assuming ...Chad Perrone is a financial analyst in Boston studying the annual return data for the health and information technology industries. He randomly samples 20 firms in each industry and notes each firm’s annual return. A ...Consider the following competing hypotheses and accompanying sample data.H0: - = 0HA: - ≠ 0x1 = 150 x2 = 130n1 = 250 n2 = 400a. Calculate the value of the test statistic.b. Calculate the p-value.c. At the 5% ...Consider a multinomial experiment with n = 400 and k = 3.The null hypothesis is H0: p1 = 0.60, p2 = 0.25 and p3 = 0.15.The observed frequencies resulting from the experiment area. Deine the alternative hypothesis.b. ...Post your question