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 47.5 fluid ounces and a standard deviation of 10.9 fluid ounces. You randomly sample 30 people and record the weekly milk consumptions shown below. 36 55 30 40 42 49 32 65 38 48 43 27 39 54 44 46 45 53 51 50 36 31 24 45 60 44 50 46 58 36 leheto 26.5 625 265 62 5 26.5 62.5 62.5 26.5 62.5 Volume Volume Volume Volume Do the consumptions appear to be normally distributed? Explain. Choose the correct answer below. O A. No, because the histogram is neither symmetric nor bell-shaped. O B. Yes, because the histogram is neither symmetric nor bell-shaped. OC. No, because the histogram is symmetric and bell-shaped. &D. Yes, because the histogram is symmetric and bel-shaped. (b) Find the mean of your sample. The mean is 43.9 (Round to one decimr Find the standard dev le. The standard deviatic greater (Round to one decimi less (c) Compare the mea riation of your sample with those of the previous study. Discuss the differences. The sample mean is than the previous mean, so, on average, consumption from the sample 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.
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 47.5 fluid ounces and a standard deviation of 10.9 fluid ounces. You randomly sample 30 people and record the weekly milk consumptions shown below. 36 55 30 40 42 49 32 65 38 48 43 27 39 54 44 46 45 53 51 50 36 31 24 45 60 44 50 46 58 36 leheto 26.5 625 265 62 5 26.5 62.5 62.5 26.5 62.5 Volume Volume Volume Volume Do the consumptions appear to be normally distributed? Explain. Choose the correct answer below. O A. No, because the histogram is neither symmetric nor bell-shaped. O B. Yes, because the histogram is neither symmetric nor bell-shaped. OC. No, because the histogram is symmetric and bell-shaped. &D. Yes, because the histogram is symmetric and bel-shaped. (b) Find the mean of your sample. The mean is 43.9 (Round to one decimr Find the standard dev le. The standard deviatic greater (Round to one decimi less (c) Compare the mea riation of your sample with those of the previous study. Discuss the differences. The sample mean is than the previous mean, so, on average, consumption from the sample 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
Related questions
Question
Transcribed Image Text:You are performing a study about weekly per capita mik consumption. A previous study found weekly per capita milk consumption to be normally distributed, with a mean of 47.5 fluid ounces and a standard deviation of 10.9 fluid ounces. You
randomly sample 30 people and record the weekly milk consumptions shown below.
36
55
30
40
42
49
32
65
38
48 D
43
27
39
54
44
46
45
53
51
50
36
31
24
45
60
44
50
46
58
36
62.5
26.5
26.5
62.5
26.5
62.5
62.5
Volume
26.5
Volume
Volume
Volume
Do the consumptions appear to be normally distributed? Explain. Choose the correct answer below.
O A. No, because the histogram is neither symmetric nor bell-shaped.
O B. Yes, because the histogram is neither symmetric nor bell-shaped.
O C. No, because the histogram is symmetric and bell-shaped.
OD. Yes, because the histogram is symmetric and bell-shaped.
(b) Find the mean of your sample.
The mean is 43.9.
(Round to one decimal place as needed.)
Find the st
Tyour sample.
The standi
(Round to
as needed.)
greaten
(c) Compa
andard deviation of your sample with those of the previous study. Discuss the differences.
less
The sampl
than the previous mean, so, on average, onsumption from the
sample is
V 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.
Transcribed Image Text: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 47.5 fluid ounces and a standard deviation of 10.9 fluid ounces. You
randomly sample 30 people and record the weekly milk consumptions shown below.
36
55
30
40
42
49
32
65
38
48
43
27
39
54
44
46
45
53
51
50
36
31
24
45
60
44
50
46
58
36
0+
26.5 62.5
26.5
Volume
265 625
26.5
lehrto
62.5
62.5
62.5
Volume
Volume
Volume
Do the consumptions appear to be normally distributed? Explain. Choose the correct answer below.
O A. No, because the histogram is neither symmetric nor bell-shaped.
O B. Yes, because the histogram is neither symmetric nor bell-shaped.
OC. No, because the histogram is symmetric and bell-shaped.
D. Yes, because the histogram is symmetric and bell-shaped.
(b) Find the mean of your sample.
The mean is 43.9.
(Round to one decimr
Find the standard dev
le.
The standard deviatic
greater
(Round to one decimi
less
(c) Compare the mea
riation of your sample with those of the previous study. Discuss the differences.
The sample mean is
than the previous mean, so, on average, consumption from the
sample 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.
Expert Solution
Step 1
As part A is not given solved for parts b and c.
B Based on the given data the sample mean and standard deviation are calculated by using the formula below.
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