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Problem 1. A random sample was taken from a normal population with unknown mean µ and...

Problem 1. A random sample was taken from a normal population with unknown mean µ and unknown variance σ2 resulting in the following data. 10.66619, 10.71417, 12.12580, 12.09377, 12.04136, 12.17344, 11.89565, 12.82213, 10.13071, 12.35741, 12.48499, 11.79630, 11.32066, 13.53277, 11.20579, 11.39291, 12.39843 Perform a test of H0 : µ = 10 versus H1 : µ ≠10 at the .05 level. Do the data support the null hypothesis?

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