A cookie company boasts an average of 20 chips per chocolate chip cookie. You doubt this claim, so you decide to test it. To start, you collect a random sample of 30 cookies and count the number of chips in each cookie. Your results are shown at right.

a. Make a mathematical statement of what you are trying to disprove. This is your null hypothesis.
b. Find the mean and standard deviation of your sample.
c. Use the standard deviation of the sample as a population parameter and find the probability that a population with mean 20 would produce a sample mean less than or equal to your statistic in 6b.
d. Use numbers and context to state a conclusion. If the probability from 6c is small (less than 5%), then state a rejection of the null hypothesis. If the probability is larger (more than 5%), then state that you fail to reject the hypothesis.

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