A local government official observed an increase in the number of individuals with cardiovascular and obesity problems in his barangay. It is known that obesity results in greater risk of having illnesses like diabetes and heart problems. In order to improve the health conditions of his constituents, he encouraged them to participate in his Zumbalik Alindog Program every weekend for 3 months to promote an easy and cheap way to reduce weight. The weight loss data (in kilograms) of the 40 randomly selected participants after completing the program are: 1.0 0.7 1.1 1.7 1.4 0.5 0.7 3.0 0.5 0.5 0.6 4.0 1.2 0.7 1.5 1.9 0.9 0.3 2.6 2.9 1.7 0.9 0.5 3.1 3.2 0.4 2.4 2.5 0.5 1.9 0.8 2.0 0.4 2.2 0.3 1.1 0.3 1.6 0.6 0.9 It is known that the weight loss of those who have completed the program follows a normal distribution with variance of 3.24 kg?. With your PAIR, using the data provided above, identify whether the z-distribution or the t- distribution is to be used based on the number of observations given then 1. Find the estimated true mean (point estimate) weight loss of the program participants; 2. Find the measure of estimate's precision (margin of error). 3. Construct and interpret a 95% confidence interval for the true mean weight loss of the participants who have completed the dance program. 4. Sketch the curve with proper labels and data.With your PAIR, using the data provided above, identify whether the z-distribution or the t- distribution is to be used based on the number of observations given then 1. Find the estimated true mean (point estimate) weight loss of the program participants; 2. Find the measure of estimate's precision (margin of error). 3. Construct and interpret a 95% confidence interval for the true mean weight loss of the participants who have completed the dance program. 4. Sketch the curve with proper labels and data. Layout your complete solution and answer with illustration related to the problem, hand-made or digitally-made, in an 8.5" x 11" page size. Save your output and individually submit as a PDF FILE ONLY using the file name format below: Math42Q4PT_FamilyName]_FamilyName2