2) Collect your own random sample of 6 sodas from a normal distribution with a mean of 12 fluid ounces and a standard deviation of 0.1 fluid ounces, using your graphing calculator randNorm function, and determine the mean volume for your 6-pack.

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2) Collect your own random sample of 6 sodas from a normal distribution with a mean
of 12 fluid ounces and a standard deviation of 0.1 fluid ounces, using your graphing
calculator randNorm function, and determine the mean volume for your 6-pack.
a) Here is a dot plot of the mean volumes of 50 randomly selected 6-packs of
soda. Plot your mean volume in the dot plot.
DISTRIBUTION OF SAMPLE MEANS
11.8
11.85
11.9
11.95
12:05
12.1
b) Here is a histogram of the mean volumes of 10,000 6-packs of soda. The mean
of the sample means is 12 fl. oz. The standard deviation of the sample means
is 0.04floz.
DISTRIBUTION OF SAMPLE MEANS
Mean = 12, SD =0.04
Frequency
1264
1195
1081
1200-
1090
995
1000-
800-
801
739
657
521
600
414
400-
318
296
172
84 41. 15 6
200-
39 108 148
2 14
14
11.875
11.9
11.925
11.95
11.975
12
12.025
12.05
12.075
12.1
12.125
Is the mean volume
Draw an arrow to show the bin where your sample mean lies.
of your 6-pack unusual? How do you know?
c) Is it unusual for the mean amount of soda to be 11.9 fl. oz. in the 6-pack? How
do you know?
d) What is the probability that the mean amount of soda in a 6-pack is 11.9 fl. oz.
or less?
Transcribed Image Text:2) Collect your own random sample of 6 sodas from a normal distribution with a mean of 12 fluid ounces and a standard deviation of 0.1 fluid ounces, using your graphing calculator randNorm function, and determine the mean volume for your 6-pack. a) Here is a dot plot of the mean volumes of 50 randomly selected 6-packs of soda. Plot your mean volume in the dot plot. DISTRIBUTION OF SAMPLE MEANS 11.8 11.85 11.9 11.95 12:05 12.1 b) Here is a histogram of the mean volumes of 10,000 6-packs of soda. The mean of the sample means is 12 fl. oz. The standard deviation of the sample means is 0.04floz. DISTRIBUTION OF SAMPLE MEANS Mean = 12, SD =0.04 Frequency 1264 1195 1081 1200- 1090 995 1000- 800- 801 739 657 521 600 414 400- 318 296 172 84 41. 15 6 200- 39 108 148 2 14 14 11.875 11.9 11.925 11.95 11.975 12 12.025 12.05 12.075 12.1 12.125 Is the mean volume Draw an arrow to show the bin where your sample mean lies. of your 6-pack unusual? How do you know? c) Is it unusual for the mean amount of soda to be 11.9 fl. oz. in the 6-pack? How do you know? d) What is the probability that the mean amount of soda in a 6-pack is 11.9 fl. oz. or less?
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