Q1) As manager of fitness club, you are examining number of calories in different smoothies. You buy ingredients to make mnay different recipes of strawberry/banana smoothies and several recipes of mixed berry smoothies.  You have lab analyze the number of calories in each smoothie with results below. You may suppose that two smoothie populations are independent and nearly normal. You may not suppose the two populations have same standard deviations.   Use α = .05

i. Strawberry/Banana:   134      123      132      141      104      136      128

ii. Mixed Berry:               145      152      150      146      157      147      141

Test hypothesis that calories of two populations are equal.  Illustrate all steps of the hypothesis testing process.  Points will be deducted for missing parts. You may use calculator functions to solve this problem, but you still should illustrate all hypothesis testing steps.