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In: Statistics and Probability

A nut producing company decides to explore the possibility of launching a new range of light...

A nut producing company decides to explore the possibility of launching a new range of light almond. For this study, an analysis of the fat content of five samples of both varieties is done to confirm the hy-pothesis that a new variety of almond contains less fat than the commonly used one. The results are: Usual variety 27.0 26.9 27.3 27.2 27.1; mean=27.1 New variety 26.8 27.0 26.9 27.1 26.8; mean=26.92 We analyze the data and have the following results: t0= 1.96, p-value= 0.045 (a) What is the degree of freedom for the t-value? (b) Can we assure, with a significance level of 5%, that the new variety has less fat than the usual one? Explain your reasoning. (c) Find the 95% confidence interval around the difference of average fact contents between the two varieties. Clearly interpret the CI.

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