Question

you randomly sample 30 people and record the weekly milk consumptions shown below. 38 55 33 39 44 49 30 64 37 48 41 23 39 54 45 41 41 50 48 47 36 29 23 41 61 42 50 46 53 39 do the consumptions appear to be normally distributed? explain. choose the correct answer below. a. yes, because the histogram is neither symmetric nor bell - shaped. b. yes, because the histogram is symmetric and bell - shaped. c. no, because the histogram is symmetric and bell - shaped. d. no, because the histogram is neither symmetric nor bell - shaped.

Explanation:

Step1: Recall normal - distribution property

A normal distribution has a symmetric and bell - shaped histogram.

Step2: Analyze the given options

We need to check if the histogram of the milk consumption data is symmetric and bell - shaped. If it is, it is normally distributed; if not, it is not normally distributed.

Step3: Evaluate each option

Option A is incorrect because a non - symmetric and non - bell - shaped histogram indicates non - normality. Option B is incorrect as it has a wrong cause - a symmetric and bell - shaped histogram implies normality, not the other way around as stated. Option C is incorrect because a symmetric and bell - shaped histogram means it is normally distributed. Option D is correct as non - symmetric and non - bell - shaped histograms mean the data is not normally distributed.

Answer:

D. No, because the histogram is neither symmetric nor bell - shaped.