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

People claim that women say more words per day than men. Estimates claim that a woman uses roughly 20,000 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 7,000 words per day.

a) State the problem in your own words.

b) Create 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.

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