A little girl named Sami is normally not allowed to have soda. But for her 7: birthday, she is allowed to have as much as she wants. The restaurant serves drinks in pint glasses (1602), but Sami won't always consume a full pint of soda due to ice and refills. On her birthday, in one sitting, she consumed the following quantities of a pint (16 oz) of soda. 15.4 0Z, 15.0 OZ, 15.1 0z, 15.3 oz. 15.2 oz Suppose that the amount of soda in a pint glass follows a Normal(u, o') distribution and that Sami's five drinks represent a random sample. (a) Compute the sample standard deviation s, of these five drinks, Do not use a computer. You may only use +, - *, :, and v on a calculator. Show all of your step-by-step work (b) Construct a 95% two-sided confidence interval for the true mean volume ( in ounces) of a pint of soda, u. Interpret the confidence interval within the context of the exercise