People claim that women say more words per day than men. Estimates claim that a woman uses

roughly twenty thousand words per day, while a man uses approximately 7,000. To investigate this, a researcher

recorded conversations of male college students over a 5-day period. The results are as follows:

7220 13932 4727 10419

9258 9717 10728 5265

12215 9944 7979 12252

9307 9086 10780 3357

The researcher believes that many use more than seven thousand per day.

a) State the problem

b) make a plan for testing the researcher's claim. Be sure to state the null and alternate hypotheses.

c) Carry out the appropriate hypothesis test. Begin by finding the sample mean and standard

deviation. Give the value of the t statistic and give the p-value (or an estimate).

d) Formulate the statistical conclusion in terms of the null hypothesis and a practical conclusion. You

may compare the p-value to 0.05 to determine if the null hypothesis should be rejected. When the p-

value is less than 0.05, we reject the null hypothesis, otherwise we fail to reject the null.