A local brewery wishes to ensure that an average of 12 ounces of beer is used to fill each bottle. In order to analyze the accuracy of the bottling process, the bottler takes a random sample of 16 bottles with the following results. The data are shown below.
Observations | Value |
1 | 11.9 |
2 | 11.6 |
3 | 12.1 |
4 | 11.8 |
5 | 11.6 |
6 | 12 |
7 | 11.8 |
8 | 12 |
9 | 11.9 |
10 | 12.1 |
11 | 11.4 |
12 | 11.8 |
13 | 11.5 |
14 | 11.6 |
15 | 12.1 |
16 | 12.1 |
1. Which set of hypotheses should we use to determine if the
mean bottle fill is different from 12 ounces?
A. H0:μ=11.8 vs. HA:μ<11.8H0:μ=11.8 vs.
HA:μ<11.8
B. H0:μ=12 vs. HA:μ>12H0:μ=12 vs.
HA:μ>12
C. H0:μ=12 vs. HA:μ<12H0:μ=12 vs.
HA:μ<12
D. H0:μ=12 vs. HA:μ≠12H0:μ=12 vs. HA:μ≠12
2. Which conditions must be met for the hypothesis test to be
valid? Check all that apply.
A. The observations are independent
B. Population data must be nearly normal or the
sample size must be at least 30.
C. There must be an expected count of at least 5
in every cell of the two-way table.
D. There must be at least 3 levels of the
categorical variable.
E. np^≥10 and n(1−p^)≥10np^≥10 and n(1−p^)≥10
3. Assume the correct conditions have been met and calculate the test statistic. ? z t X^2 F =
4. What are the degrees of freedom for this test?
5. Calculate the p-value
6. Based on the p-value, we have:
A. extremely strong evidence
B. very strong evidence
C. some evidence
D. little evidence
E. strong evidence
that the null model is not a good fit for our observed data.
The statistical software output for this problem is:
Hence,
1. Option D is correct.
2. Conditions A, B and E are necessary.
3. Test statistic: t = -2.8969
4. df = 15
5. p - Value = 0.0111
6. Strong evidence
A local brewery wishes to ensure that an average of 12 ounces of beer is used...
A local brewery wishes to ensure that an average of 12 ounces of beer is used to fill each bottle. In order to analyze the accuracy of the bottling process, the bottler takes a random sample of 16 bottles with the following results. The data are shown below. Observations Value 1 11.6 2 11.8 3 11.5 4 11.5 5 12.3 6 11.7 7 11.7 8 12 9 11.9 10 12 11 11.7 12 12 13 11.7 14 11.5 15 11.9...
5) (7 points) A local brewery wishes to ensure that an average of 12 ounces of beer is used to fill each bottle. In order to analyze the accuracy of the bottling process, the bottler takes a random sample of 16 bottles with the following results. The data are shown below. 1. Which set of hypotheses should we use to determine if the mean bottle fill is different from 12 ounces? A. ?0:?=12 ??. ??:?<12H0:μ=12 vs. HA:μ<12 B. ?0:?=12 ??....
(7 points) A local brewery wishes to ensure that an average of 12 ounces of beer is used to fill each bottle. In order to analyze the accuracy of the bottling process, the bottler takes a random sample of 16 bottles with the following results. The data are shown below. Observations Value 11.8 11.9 11.8 11.9 11.8 11.9 11.8 11.7 11.6 12 11.8 11.7 15 11.9 stt_200_fs 19_97n5jx/HW09/6/?effective User=xiazhenj&user=xiazhenj&key=tABdCOY58M 11.7 1. Which set of hypotheses should we use to determine...
(7 points) A local brewery wishes to ensure that an average of 12 ounces of beer is used to fill each bottle. In order to analyze the accuracy of the bottling process, the bottler takes a random sample of 16 bottles with the following results. The data are shown below. Observations Value 1 11.8 12. 2 3 11.8 4 11.8 5 11.7 6 12 7 11.6 8 12. 9 11.9 10 11.8 11 12.1 12 11.9 13 11.8 14 11.9...
B. H0:μ=12 vs. HA:μ<12H0:μ=12 vs. HA:μ<12 C. H0:μ=12 vs. HA:μ>12H0:μ=12 vs. HA:μ>12 D. H0:μ=12 vs. HA:μ≠12H0:μ=12 vs. HA:μ≠12 2. Which conditions must be met for the hypothesis test to be valid? Check all that apply. A. The observations are independent B. There must be at least 3 levels of the categorical variable. C. Population data must be nearly normal or the sample size must be at least 30. D. There must be an expected count of at least 5 in...
Problem Value: 7 point(s). Problem Score: 0%. Attempts Remaining: 3 attempts. (7 points) A local brewery wishes to ensure that an average of 12 ounces of beer is used to fill each bottle. In order to analyze the accuracy of the bottling process, the bottler takes a random sample of 16 bottles with the following results. The data are shown below. Observations Value 11.6 11.6 11.9 11.5 11.8 11.7 11.8 11.9 11.9 12.1 1. Which set of hypotheses should we...
Have the answers for 1,2,and 4. Need help with 3,5, and 6 please. (7 points) A local brewery wishes to ensure that an average of 12 ounces of beer is used to fill each bottle. In order to analyze the accuracy of the bottling process, the bottler takes a random sample of 16 bottles with the following results. The data are shown below. Observations Value 1 11.9 2 11.4 3 11.6 4 12 11.9 5 6 11.9 7 11.9 8...
Observations Value 1 11.4 2 11.7 3 11.6 11.9 4. 5 11.8 6 11.7 7 11.8 8 11.8 9 11.8 10 12 11 11.5 12 11.9 13 12 14 11.9 15 11.7 16 11.7 1. Which set of hypotheses should we use to determine if the mean bottle fill is different from 12 ounces? A. HO 12 vs. HA: >12 B. HO: 11.8 vs. HA: < 11.8 C. HO 12 us. HA u12 D. HO 12 us. HA: u< 12...
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