Need help with my writing homework on Confidence Intervals and Hypothesis Testing. Write a 1250 word paper answering;

Need help with my writing homework on Confidence Intervals and Hypothesis Testing. Write a 1250 word paper answering; It was a matter of my interest as I am a keen coffee drinker and can drink 4 cups in a day. So the overall process made me feel quite enthusiastic and motivated to do the work.

In order to test the hypothesis, the significance level chosen was 0.05 while for constructing confidence interval a 95% confidence level was chosen. The data gathered through random sampling is attached in the Appendix. All the tests are conducted using the Data Analysis ribbon on MS Excel. Since the sample is large enough, the hypothesis testing will employ the ‘t” test due to the unknown standard deviation of the population.

The results showed that the sample chosen showed to be a true representative of the population. As the hypothesis testing procedure proved that the null hypothesis is accepted and the population means were found to be equal to 2 coffee cups per day. The statistical procedures help in the estimation of population estimates by using sample values. The sampling methodology also impacts the relationship between sample values and the associated population values. The random sampling procedure helps in avoiding any biases that may arise in the model or else the researcher can bias the outcomes of the model by manipulating the sampling technique.

These measures show that the middle value, calculated as the median is 2 cups per day. The most recurring value as represented by ‘mode’ is 2 and the average as calculated by mean is 1.83 or approximately 2 cups per day. Since the mean value and the median are approximately the same, hence, both of them can be regarded as the best representative of the given sample. The sum of all values is found to be equal to 183 cups.

The significance of the mean value to be the representative of the given sample can be assessed by using the dispersion measures. The range being the simplest measure of variation explains how distant the lowest value and the highest value in a data set are located.