You may need to use the appropriatetechnologyto answer this question.

The grade point averages of 352 students who completed a college course in financial accounting have a standard deviation of0.940. The grade point averages of73 studentswho dropped out of the same course have a standard deviation of0.795. Do the data indicate a difference between the variances of grade point averages for students who completed a financial accounting course and students who dropped out? Use a 0.05 level of significance.Note:F_0.025

with 351 and72 degreesof freedom is 1.47.

State the null and alternative hypotheses.

H₀:₁²=₂²

H_a:₁²₂²

H₀:₁²>₂²

H_a:₁²₂²

H₀:₁²₂²

H_a:₁²>₂²

H₀:₁²₂²

H_a:₁²=₂²

Find the value of the test statistic. (Round your answer to two decimal places.)

State the critical values for the rejection rule. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)

test statistictest statistic

State your conclusion.

Do not rejectH₀. We cannot conclude that students who complete the course and students who drop out have different variances of grade point averages.

RejectH₀. We can conclude that students who complete the course and students who drop out have different variances of grade point averages.

Do not rejectH₀. We can conclude that students who complete the course and students who drop out have different variances of grade point averages.

RejectH₀. We cannot conclude that students who complete the course and students who drop out have different variances of grade point averages.