Explain the general rationale behind using a z-score for describing how an individual performed on an e x a m compared to just stating the overall mean and the individual’s score. How does the information differ in the two situations? What additional information are you gaining with a z-score? Imagine you are in charge of reviewing applications for your academic institution. As a preliminary measure, you want to review only the top 25% of applicants on the basis of standardized …

Consider a 10 question multiple choice test. How many answer options  would you need on each item to ensure that the probability of a student  randomly guessing earning a passing mark is less than 1 percent? How  does the required number of answer options change if the total number of  items is reduced to 5? Capture screen shots of your binomial  distributions which include the parameters and attach them to your post.  Write a summary statement of your observations.  …

1.   · From the Table 1 selects the most appropriate method to display the frequency of patients presenting with the four questions shown in the table. · With the same information, prepare a bar graph for the percentage of (yes)  ( no) answers from the total (24). Table 1. The data from the Vaccine questionnaire (Selected items) Participant  Age Are you feeling sick today? Have you ever received a dose of the   COVID-19 vaccine? Have you ever had an …

Post (300+ words): Collect some quantitative data (if your data from week 1 is quantitative, you can use it). Find the sample mean and standard deviation. Plot it in a histogram. Does the data seem to follow the bell curve of the normal distribution? What features of the data do or do not fit in with the shape of the normal curve. How much deviation from the curve is to be expected?  Now perform a normality test on your data …

Post (300+ words):  Give an example of an interval estimate of an average or proportion you may use in your daily life. For instance, you may say that you are pretty sure your average commute time is between 25-30 minutes, or you are fairly confident that between 60-65% of the population love dogs. Collect some data to see how well your intuition is working. First, does your sample data meet all assumptions necessary to construct the confidence interval of the …