M&Ms Project Report Assignment Example | Topics and Well Written Essays - 1000 words

M&Ms Project Report - Assignment ExampleThe results were that 51 bags were sampled( 17 students * 3 bags each=51) and the number of flowerpotdies esteemd was 2872 which were of different colors. 2. Finding out the Standard Deviation and Mean The next configuration was to identify the average number of candies/ bag. The statistical average of a sample is called implicate . In our lineament it is 2872/51 which is equal to 56.3 candies/bag. This gives an idea whether the number of candies that was fixed to be in a bag in the first place marketing was more or less than a predecided amount. This is an important aspect of quality check. Apart from mean the Standard Deviation which is the positive squ atomic number 18 root of mean of squared deviations of all scores from their mean was calculated. The SD thereby indicate the spread or scatter or deviations of scores around a key value(mean). It is expressed by s= square root(summation of deviations/sample size). In our case it is + 1.9234 candies which means in whatsoever bags the probability of more or less candies than the mean(56.3) is 1.9 that is either it can be 58.2 or 54.4. 3. Confidence legal separation and Its Importance The confidence interval of a line is the range of scores within which the parameter has a given probability of lying.This is called fiduciary probability.The two scores forming the lower and upper limits are called confidence limits. The fiducial probability is called the confidence level and when expressed as a percentage gives the degree of confidence in expecting a parameter to lie the given confidence interval. It is thus an interval estimate of a parameter and is more dependable than a point estimate( like the mean). In our analysis for example if we want to evaluate the CI we can infer that the proportion of blue candies in lying between 0.2087 and 0.2391 is 95%. It can be calculated as follows Upper Limit= Mean + Standard Score (z) at the level of alpha * Standard Error of mean Lower Limit= Mean - Standard Score (z) at the level of alpha * Standard Error of mean. Therefore 1-alpha=0.95 or 95% fiducial probability. This means that higher(prenominal) the fiducial probability wider the confidence interval and greater the probability of community mean falling in that interval but the lower will be the precision of estimate for true value of people mean. In our case study from the confidence intervals of divers(a) candies it seems that the hallucination of 0.11(upper limit-Mean or Mean- Lower Limit) is minimal with the discolour candies so the proportion of yellow candies can be truly estimated the most if we consider the whole population of candies/bag in the M& M industries. The number of candies with a confidence limit has a error of +0.5 4. Part 4- Testing of Hypothesis and Z test. In this portion we try to find out whether the proportions of candies which are estimated are true and there exists no whatsoever any statistical difference of signific ance of various candies in different bags. The minor difference what is seen is speculated to happened by chance due to sampling and there is no significant difference (null hypothesis retained). But if the difference is statistically significant it means certainly that the proportio