Astudent believes that the average grade on the statistics final examination is 87. a sample of 36 final examinations is taken. the average grade in the sample is 83.96 with a sample standard deviation of 12. carry out the hypothesis testing that the real mean is less than 87. use a 0.05 level of significance.

The dance committee of pine bluff middle school earns $72 from a bake sale and will earn $4 for each ticket they sell to the spring fling dance. the dance will cost $400 write an inequality to determine the number, t of tickets the committee could sell to have money left over after they pay for this year's dance. what is the solution set of the inequality?