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Pages:
2 pages/≈550 words
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Level:
APA
Subject:
Mathematics & Economics
Type:
Essay
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
$ 8.64
Topic:
Bottling Company Case Study (Essay Sample)
Instructions:
I was required to do work out some statistics questions. The title page was different from the custom APA style title page.
source..Content:
Bottling Company Case Study
Student’s Name
Professor’s Name
Course Title
Date
Bottling Company Case Study
Data
Number
Ounces
Number
Ounces
Number
Ounces
1
14.5
11
15
21
14.1
2
14.6
12
15.1
22
14.2
3
14.7
13
15
23
14
4
14.8
14
14.4
24
14.9
5
14.9
15
15.8
25
14.7
6
15.3
16
14
26
14.5
7
14.9
17
16
27
14.6
8
15.5
18
16.1
28
14.8
9
14.8
19
15.8
29
14.8
10
15.2
20
14.5
30
14.6
Mean Median and Standard Deviation
Mean.
x=ΣxN
Where
x=mean of the sample
x=the ounces of each bottle in the sample
N=the total number of bottlesx=446.1 ounces30x=14.87 ounces
Median. When arranged in ascending order, the ounces are as follows:
Number
Ounces
Number
Ounces
Number
Ounces
1
14
11
14.6
21
15
2
14
12
14.7
22
15
3
14.1
13
14.7
23
15.1
4
14.2
14
14.8
24
15.2
5
14.4
15
14.8
25
15.3
6
14.5
16
14.8
26
15.5
7
14.5
17
14.8
27
15.8
8
14.5
18
14.9
28
15.8
9
14.6
19
14.9
29
16
10
14.6
20
14.9
30
16.1
The median is thus 14.8 ounces.
Standard deviation.
s=‚Σ(x-x)2N-1
Where:
s=standard deviation
x=the ounces of each bottle in the sample
x =mean of the sample
N=number of bottles in sample
s=‚8.78330-1
s=0.550 ounces
95% Confidence Interval for the Ounces in the Bottles
Since the sample size is 30, we assume that the samples are normally distributed.
The critical region lies to the left of the normal distribution curve. That is, it is a one-tailed test.
The corresponding Z score at 95% confidence level is -1.645. Thus:
z=x-xs
-1.645=x-14.870.550
Solving for x we get 13.96 ounces. For the bottles to satisfy the criteria at 95% confidence level, they must be equal to or greater than 13.96 ounces.
Hypothesis Test
Null and alternative hypotheses.
Ho: ...
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