You have a job controlling how well pubs fill pint servings. More precisely, you sample to evaluate if the mean servings \(\mu\) are at least 1.0 pint. For your job, you use a neutral prior. At one particular pub one evening, you have sampled 10 pints, and measured: \(\{0.98,0.98,0.96,1.02,0.98,1.0,1.02,0.96\), \(0.96,0.98\}\). Using these data, determine whether \(H_{1}: \mu<1.0\), with significance \(\alpha=0.1\).