3. Suppose 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 lbs 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 Why did you choose to reject or fail to reject the null hypothesis? Nontechnical conclusion addressing the original claim: 4. Test the claim that the mean age of the prison population in one city is less than 26 years. 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 Why did you choose to reject or fail to reject the null hypothesis? Nontechnical conclusion addressing the original claim