Question

A company tested 11 random brands of vanilla yogurt and found the number of calories per serving given below. (Note that more than 110 different brands of vanilla yogurt exist.) Complete parts a through c. 130 160 150 110 110 100 170 150 100 120 100 a) Check the assumptions and conditions for inference Is the Independence Assumption met? O No O Yes Is the Randomization Condition met or is the sample suitably representative? O No O Yes Is the 10% Condition met? O No O Yes Is the Nearly Normal Condition met? O No O Yes

Answer 1

Answe As per the given data Yes, there is nothing given about independ. ence but since they are different brands, we can safely assume that the independence condition is satisfied. Yes, the randomization condition is also satisfied because the brands has been selected randomly lower-Door Tono Yes, the 10% condition is here satisfied beca- use the sample is less than 10% a population. Yes, the nearly normal condition is satisfied there is no major deviation from normality b) As per given calculations sont The sample mean = 130+ 160+ 156 + 110 + 110 + 100+ 190 + 150 + 100+20 +100 Sum of no of items No. of items tuoo 127.27 The sample standard deviation VN-1

26. Degrees of freedom an- = 10 " 95% of confidence with 10° of freedom critical t value - 2.228. Hence art confidena interval will be > 127.27 + 2.228 x 26.11 / sqrt () => 127.274 17.97 - (109.7 144.84) 109.7 Lt (calories) <1uu.sy Interpretation of interval: we can interual be 95% confident that the contains the true mean number per serving of rogurt of Calories option D is correct.