In planning the construction of a new manufacturing facility, the purchasing department has narrowed its choice of
Question:
In planning the construction of a new manufacturing facility, the purchasing department has narrowed its choice of paints to that of two brands. Brand A is less expensive than Brand B, but the department is concerned that Brand A's quality is inferior. To aid in this decision, a researcher paints six chips so that half of each chip is painted with Brand A and the other half is painted with Brand B. After the chips are exposed to weather conditions for six months, the researcher judges each chip based on several qualities and assigns a score to each brand (where the larger the score, the better the quality of the paint.) The sample mean for Brand A is 85 and the sample mean for Brand B is 88.833. The sample standard deviation of the difference is 4.95. At the 10% significance level, can we conclude that the quality of Brand A is different than that of Brand B. Find the p-value for this hypothesis test?
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