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In: Statistics and Probability

Environmental testing is an attempt to test a component under conditions that closely simulate the environment...

Environmental testing is an attempt to test a component under conditions that closely simulate the environment in which the component will be used. An electrical component is to be used in two different locations in Alaska. Before environmental testing can be conducted, it is necessary to determine the soil composition in these localities. These data are obtained on the percentage of SiO2 by weight of the soil: Anchorage: n1 = 10, x1 = 63.94, s1 = 3; Kodiak: n2 = 16, x2 = 57.06, s2 = 2.7.

(a) Calculate a 95% confidence interval for estimating µ1 −µ2.

(b) Calculate the two-sample t statistic and use Table D to compute a range of possibilities for the P-value of the test: H0 : µ1 = µ2 versus Ha : µ1 6= µ2.

(c) What do your answers to parts (a) and (b) say about whether µ1 and µ2 are the same, at the α = 5% level of significance?

(d) Based on your answer to part (c), to what type of error are you now subject to (Type I or Type II)?

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orchestra answered 2 years ago
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