(Answered) 1 suppose that for a given population with sigma 72 we

Statistics

1. Suppose that for a given population with σ = 7.2 we want to test H₀:μ = 80 against H₁:μ < 80="" based="" on="" a="" sample="" of="" n="">

(a) If the null hypothesis is rejected when ¯y < 76,="" what="" is="" the="" probability="" of="" a="" type="" i="">

(b) What would be the rejection region if we wanted to have a level of significance of exactly 0.05?

2. An experiment designed to estimate the mean reaction time of a certain chemical process has ¯y = 79.6 s, based on 144 observations. The standard deviation is σ = 8.

(a) What is the maximum error of estimate at 0.95 confidences?

(b) Construct a 0.95 confidence interval on μ.

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