Question

A company tested 11 random brands of vanila yogurt and found the number of cal es per ser ng r en elow. Note hat more than 110 ferent brands of vanila yogurt exist Сотр te parts a trou 130 160 140 120 120 110 170 150 120 30 100 a) Chack tha assumptions and conditions far infaranca s the Independence Assumption met? O No s tha Randomization Concition mat or is the sampla sutahly rapresantative? O No O Yes Is the 10% Condition mor? O Yes s the Nearly Nomal Condition met? O No b) Find 95% confidence interval for th average calorie content oivanlla yogurt per serving. (calorías) d to two decimal places as ncoded) c) Interpret this intervell for someone looking to buy yogurt Choose the correct answer beloww o A. A randomly salached serving of yogurt ha a 95% channa of having a caloria content whin ta intarval B. O C. D. Thara i, a 95% chance that tha triaavaraga caloria oament per saning at yngrt ls witin ha interval 95% of yogurts havAA calaria cantant parsaing that we can ba 95% cantident that tha İtaral contains ha trua average calorie content per saring atygin within tha interval

Answer 1

The statistical software output for this problem is:

One sample T confidence interval: μ : Mean of variable 95% confidence interval results: Variable Sample Mean Std. Err. Data DF L. Limit U. Limit 131.81818 6.4410871 10 117.46655 146.16982

Hence,

a) Yes for all four questions

b) 95% confidence interval:

117.47 < μ(Calories) < 146.17