Poking with Regression
A Rough Road to the End (starring corrgram()!)
Part I: A. Null hypothesis: The cookie-making machine is making less than 70 cookies. Alternative hypothesis: The cookie-making machine is making either exactly 70, or more than 70 cookies. B. Z = (M – μ) / √(σ^2 / n) = (69.1 – 69) ) / √((3.5)^2 / 55) = (69.1 – 69) ) / √(12.25/ 55) = 0.1 / 0.47 Z = 0.21 (Greater than LOS of 0.05, so null hypothesis is not rejected.) C. A p-value of ~0.58 is mostly neutral, not leaning greatly towards 1 nor 0. Therefore, it is not statistically significant and the null hypothesis cannot be rejected. D. Z = (M – μ) / √(σ^2 / n) = (69.1 – 69) ) / √((1.75)^2 / 55) = (69.1 – 69) ) / √(3.06/55) = 0.1 / 0.0556 Z = 1.79 (Greater than LOS of 0.05, so null hypothesis is still not rejected.) E. Z = (M – μ) / √(σ^2 / n) = (69 – 69) ) / √((3.5)^2 / 55) = (69 – 69) ) / √(12.25/ 55) = 0 / 0.47 Z = 0 (Less than LOS...
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