A previous study found weekly per capita milk consumption to be normally distrib

Question

A previous study found weekly per capita milk consumption to be normally distributed, with a mean of 47.9 fluid ounces and a standard deviation of 10.8 fluid ounces. You randomly sample 30 people and record the weekly milk consumptions shown below.

35 54 32 34 44 48 31 63 35 46 44 25 36 55 44 43 41 48 46 46 37 30 22 40 59 43 46 41 53 37

Use seven classes

Do the consumtions appear to be normally distibuted? Explain

Find the mean of your sample. Round to one decimal place as needed

The standard deviation is ? Roud to one decimal place as needed

The sample mean is______than the previous mean, so, on average, consumption from ehe saple is______than in the previous study. The sample standard deviation is____than the previous standard deviation by______, so the milk consumption is_______spread out in the sample.

Less, greater

Explanation / Answer

Yes, the consumptions appear to be normally distributed because if we plot the data we get bell shaped curve which a curve normally distributed data set.

Mean(µ) = 41.9333

SD () = 9.508

The sample mean is less than the previous mean, so, on average, consumption from the sample is lessthan in the previous study. The sample standard deviation is less than the previous standard deviation by 1.2916, so the milk consumption is lessspread out in the sample.

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