Application of Statistical Tools - Assignment Example

Application of Statistical Tools Abstract/Summary The statistical tools are necessary to identify which decision should be made to achieve the optimum and quality output. In this paper, there are there cases considered which shows the application of there statistical tools such as the Normal Distribution, t-Distribution, and Test on Two Proportions. The Normal Distribution is employed to find out whether there is a truth to the claim of a manufacturer that the product, herbal medicine can effectively heal allergy problems or not. On the other hand, t-Distribution takes up the case of finding out the current state of the machine producing washers which is suspected fail to meet the industry standards in generating outputs. The statistical tool, Test on Two proportions is done to verify whether there is a direct relationship between poverty and prostitution. Introduction The use of statistical analysis has been proven to be helpful in terms of coming up the with right decision most especially when large amount of money needs to be invested in certain projects that will need extensive analysis to find out whether the project or plan is worthy of investment or not. The student t-Distribution, in this paper, is used to determine the status of certain machines suspected to be experiencing technical failure which could affect the quality and quantity of production. As well, the Test on Two Proportion technique is used to verify the relationship between social problems such as poverty and prostitution. Additionally, another issue is resolved using the Normal Distribution in identifying whether or not the claim of a certain manufacturer of herbal medicine is true. Generally, the various statistical analyses are used in finding out which decision has to be made to minimize the risks of getting failures and losses in business and other lucrative and non-lucrative endeavours in the fields of engineering, agriculture, medicine, industry, and among others. Normal distribution According to the claim of the manufacturer of a certain herbal medicine, a particular dose can be 90% efficient to cause healing to patients diagnosed with allergy. One of the specifications is to take the medicine every 8 hours. Out of the 200 patients with allergy problem, 160 of them have been healed by using the herbal medicine. Find out whether the claim of the manufacturer is true or not. Solution: Let P be the probability that people will get heal if they use the herbal medicine against to solve the problem wit allergy. There are two hypotheses that can be generated out of this scenario: H0: P=0.9 (this means that the claim that herbal medicine is effective). H1: P z0.05 and z Read More