3. A newly released weight-loss pill is being sold in a certain city. The manufacturer claims that any overweight person who takes the pill as directed will lose 15 lbs within a month. To test this claim, a doctor gives this pill to six overweight people and finds that they lose an average of 12.9 Ibs with a standard deviation of 4 lbs. Can we reject the manufactures claim at the 1% level of significance? Null and alternative hypothesis (give both in symbolic form and sentence form): Test statistic and p-value (show the calculation or show what you entered into the calculator (screenshots are ok here)): Technical conclusion, circle one: reject the null hypothesis or fail to reject the null hypothesis Nontechnical conclusion addressing the original claim