R Programming - Histograms - R Programming Assignment Help

Internal Code: 1AJGGI

R Programming Assignment Help

TASK 1.Do you think you have a good conceptual understanding of mean and standard deviation? Well many people do not, in particular with respect to the standard deviation. In the histograms shown in Figure 1, n = 5000 observations have been randomly generated from a N(?, ?2) distribution for different choices of ? and ?. The ? parameters used for each have been chosen from ?50, 25, 90, 240, 150, ?100 and the ? parameters chosen from 1, 5, 10, 20, 50, 75. Match the ? and ? parameters that must have been used to generate the sample data used for each histogram keeping in mind that no two distributions have the same mean or same standard deviation. Histogram A: ? = . . . . . . and ? = . . . . . . Histogram B: ? = . . . . . . and ? = . . . . . . Histogram C: ? = . . . . . . and ? = . . . . . . Histogram D: ? = . . . . . . and ? = . . . . . . Histogram E: ? = . . . . . . and ? = . . . . . . Histogram F: ? = . . . . . . and ? = . . . . . . 2.For this question you will look at some real data collected from the La Trobe Childcare Centre solar generation plant located on the Bundoora campus. Specifically, you will consider 329 measurements of pan evaporation, taken over 24 hours, measured in millimetres (mm). You can download a .csv file of the data to use for this question by clicking here. Using R, what is the sample mean and median of the data? Using R, what is the sample standard deviation of the data? Create a histogram of the data using R. Make sure you include freq = FALSE in the call to hist since you will be overlaying a density curve soon. Provide one or two sentences that describes your histogram. As examples, you may highlight the basic shape of the histogram, whether the data is symmetric or skewed and the range of values etc. Now, overlay an exponential probability density curve making appropriate use of the sample mean you estimated earlier. Does this exponential density do a good job of describing the data? Explain. Using the sample size of n = 329 and the sample mean and sample standard deviation you calculated in Question 2, answer the following. Calculate the standard error of the mean. Calculate an approximate 95% confidence interval for the true mean pan evaporation. It is thought that the true mean pan evaporation is 2.9mm. Do you have evidence to suggest that this claim is likely to be false? Explain.