Problem Summary
The purpose of this donation is to decide whether the new invention promoted by the exploration department should be used for the appliances in the future. The exploration department of an appliance manufacturing establishment has developed a solid- state switch for its blender that the exploration department claims will reduce appliance returns under the one- time full bond by 3 – 6. The claim needs to be tested before making the final decision about using the switch in the future.
system Selection
The purpose of the analysis will be to determine if the proportion of returned blenders with new switches were deferent from the proportion of blenders with oldswitches.However, the new switch will be considered more desirable, If the difference between the proportion is statistically significant. In order to test for proportions, two independent samples of blenders need to be taken and the proportion of returned blenders need to be compared. The comparison can be conducted using the Z- test for differences in proportions as recommended by Zou and collogues.
Analysis Flow Chart
The present slide demonstrate a inflow map of analysis. First, null and indispensable suppositions need to be stated. Second, data should be collected and organized. Third, the statistical test requirements to be run after testing for hypotheticals. And eventually, the results need to be interpreted.
suppositions Formulation
The null thesis is that there’s no significant difference between the proportions of returned blenders with new and old switches. The indispensable thesis is that there’s a significant difference between the proportions of returned blenders with new and old switches.
Data Collection
Data from two samples of 250 blenders was collected using simple arbitrary slice. Simple arbitrary slice was used because it helps to drop the position of bias during the party selection procedures, as everyone in the population receives an equal chance to share.
Results
The test was performed after checking if all the hypotheticals were met. In particular, both samples were arbitrary and independent. The test results revealed that there was no significant difference between the proportions of returned blenders with new and old switches with a significance position of0.05. The p- value was0.075, which was below the significance position. thus, the null thesis was accepted.
Conclusion
The results demonstrated that the claim made by the exploration department was false. Since there was no difference in the number of returns, it isn’t recommended to decide which switch to use grounded on this parameter. farther exploration should be conducted to ameliorate the quality of switches.