Oxford Cereals

Oxford Cereals

Executive Summary

Oxford Cereals produces two types of cereals i.e. Oxford O's and Alpine Forested Flakes. A group of students selected different samples of the cereals and initially claim that Oxford Cereals are doing fraud with the customers by giving less amount of cereals in their boxes. This claim was checked statistically through different statistical tools including Independent Samples t - test, ANOVA, and different graphs to analyze that claim. The results obtained from the statistical findings shows that the claim was wrong. Though the plants of Oxford cereals were not in the best of their conditions but still they were not doing any kind of fraud with the customers. Thus, the claims of fraud and cheat on Oxford cereals were found to be incorrect but the decisions made from the results that the improvement in plants should be required in order to provide the customers with full weighted cereals and also reducing their own cost by not exceeding the weights of cereals in the boxes.

Results and Findings

Using Independent Samples t - test

H0: There is no significant difference between the weights of Oxford O's and Alpine Forested.

H1: There is a significant difference between the weights of Oxford O's and Alpine Forested.

Table: 1 (Independent Samples Test)

Levene's Test for Equality of Variances

t-test for Equality of Means

F

Sig.

t

df

Sig. (2-tailed)

Mean Difference

Std. Error Difference

95% Confidence Interval of the Difference

Lower

Upper

Weights

Equal variances assumed

.305

.596

-1.671

8

.133

-4.02000

2.40603

-9.56832

1.52832

Equal variances not assumed

-1.671

7.323

.137

-4.02000

2.40603

-9.65885

1.61885

The results show that the f - value is insignificant as p > 0.05 concluding that there the null hypothesis cannot be rejected. Through these statistical results we can conclude that there is no significant difference between the weights of Oxford O's and Alpine Forested Flakes. The statistical results are proving that the inefficiency in both the Cereals exist in terms of average weight i.e. the customers are not getting the complete 368g of cereals in both Oxford O's and Alpine Forested Flakes.

The confidence interval plays a major part in the analysis and according to the results in table 1, the 95% confidence interval is 368 - 9.56832 and 368 + 1.52832 i.e. the normally distributed weights are in the range 358.43g and 369.52g. The higher weights in the sample i.e. 371.4g in Oxford O's and 373.5 in Alpine Forested Flakes shows that the company is not trying to cheat the customers because if they cheat the customers in terms of giving less quantity of cereals then they do not provide higher amount of weighted cereals in the packaging.

Decision about the Plant

The results show that there exist problems in the machine that pack the cereals. Therefore, the machine should be altered with a new one or the defects of putting variable weights should be corrected. The option for closing the plant will not be valid as the machine is only lacking in providing the corrected weights of Cereals.

Checking Sustainability of all four plants (Using ANOVA)

H0: There is no significant difference between the four plants.

H1: There is a significant difference between the four plants.

Table: 2 (ANOVA)

Sum of Squares

df

Mean ...