Answered: You are performing a study about weekly…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...

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Question

You are performing a study about weekly per capita milk consumption. A previous study found weekly per capita milk consumption to be normally distributed, with a mean of

44.544.5

fluid ounces and a standard deviation of

10.810.8

fluid ounces. You randomly sample 30 people and record the weekly milk consumptions shown below.

37
53
31
34
40
47
31
62
37
47
39
25
35
54
41
39
39
48
48
47
34
28
21
40
57
41
46
43
54
36

Draw a frequency histogram to display these data. Use seven classes. Choose the correct answer below.

Do the consumptions appear to be normally distributed? Explain. Choose the correct answer below.

Find the mean of your sample

The standard deviation is

Compare the mean and standard deviation of your sample with those of the previous study. Discuss the differences.

The sample mean is

▼

greater

less

than the previous mean, so, on average, consumption from the

sample is

▼

greater

less

than in the previous study. The sample standard deviation is

▼

greater

less

than the previous standard deviation by

enter your response here,

so the milk consumption is

▼

less

spread out in the sample.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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