A consumer advocacy group claims that the mean weight of a certain brand of cereal boxes is less than 14 ounces. The weights (in ounces) of the cereal in a random sample of 8 cereal boxes are listed below. Test the claim at the 0.01 significance level.
14.5 13.5 14.1 13.6 14.0 14.4. 13.1 14.1
a) State the null and alternative hypotheses.
b) Find the value of the test statistic. You may use a graphing calculator. Round to three decimal places.
c) Find the P-value. You may use a graphing calculator. Round to three decimal places.
d) State whether you should reject or fail to reject the null hypothesis. Justify your answer.
e) State your conclusion in non-technical terms.
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