Assignment 1 Bottling Company Case Stu
Assignment 1: Bottling Company Case Study
Marquita Wright
Dr. Jean Guo
MAT 300 Statistics
September 3, 2014
Abstract
The following assignment will discuss the results of the study that was done to 30 bottles to figure out if what the customers are saying is true about the sodas that are being produced is less than what is advertised. Of the 30 bottles the mean, median, and standard deviation for the ounces in the bottles. A 95% confidence interval will be calculated as well. A hypothesis test will be done to verify if the claim is true and also a conclusion will be made.
To see if what the customers are saying is true about the ounces in the bottles are actually less than what is advertised the first thing that needs to be done is the calculations of the mean, median, and standard deviation for the ounces in the 30 bottles tested.
Bottle Number
Ounces
Bottle Number
Ounces
Bottle 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
Total: 446.1/30=14.87
Mean: (Avg) 14.87
Median: (14.87+14.87)/2=14.8
Standard Deviation: 0.55033
Next thing that conducted as a test of the 95% Confidence Interval for the ounces in the bottle. With a mean score of 14.87, a standard deviation of 0.55033, and a desired confidence level of 95%, the confidence interval is + 0.25. There is a 95% certainty that the true population of the mean falls within the range of 14.66 to 15.16. For the hypothesis test the calculation has to verify if the claim that a bottle contains less than sixteen (16) ounces that was advertised. The logic of this test is that there was a complaint that the bottle of the brand soda produced by the company contains less than the advertised sixteen (16) ounces that is produced. Now order to verify this claim the employee will pull thirty (30) bottles off the
Marquita Wright
Dr. Jean Guo
MAT 300 Statistics
September 3, 2014
Abstract
The following assignment will discuss the results of the study that was done to 30 bottles to figure out if what the customers are saying is true about the sodas that are being produced is less than what is advertised. Of the 30 bottles the mean, median, and standard deviation for the ounces in the bottles. A 95% confidence interval will be calculated as well. A hypothesis test will be done to verify if the claim is true and also a conclusion will be made.
To see if what the customers are saying is true about the ounces in the bottles are actually less than what is advertised the first thing that needs to be done is the calculations of the mean, median, and standard deviation for the ounces in the 30 bottles tested.
Bottle Number
Ounces
Bottle Number
Ounces
Bottle 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
Total: 446.1/30=14.87
Mean: (Avg) 14.87
Median: (14.87+14.87)/2=14.8
Standard Deviation: 0.55033
Next thing that conducted as a test of the 95% Confidence Interval for the ounces in the bottle. With a mean score of 14.87, a standard deviation of 0.55033, and a desired confidence level of 95%, the confidence interval is + 0.25. There is a 95% certainty that the true population of the mean falls within the range of 14.66 to 15.16. For the hypothesis test the calculation has to verify if the claim that a bottle contains less than sixteen (16) ounces that was advertised. The logic of this test is that there was a complaint that the bottle of the brand soda produced by the company contains less than the advertised sixteen (16) ounces that is produced. Now order to verify this claim the employee will pull thirty (30) bottles off the