1.(25 pts) A researcher wishes to know:Can a child’s health in its first two years of life be enhanced by a program that teaches expectant mothers about nutrition? Identify two independent variables and two dependent variables that would be important to measure.Briefly describe the measure you would use.Identify the level of measurement (nominal ordinal or interval) for each. Example answer Independent variable:Mother’s education level, measured as less than high school, high school graduate, some college, college graduate. Ordinal measure. 2.(25 pts) You are the Dean of students at a college and the President has asked for some information about how the student body has changed over the years.You have collected the following information regarding the number of students in various categories for two different graduating classes: CHARACTERISTICS OF TWO GRADUATING CLASSES 1990 2010 Total in class 345 687 Females 178 301 Attended Commencement 99 458 Finished in 4 years 269 325 Received financial aid 159 369 What will you say to the president when she asks: a.What percentage of the graduating class was female in 1990?________2010?________ b.What proportion of the graduating class attended the commencement ceremony in 2010?______ Has this proportion gone up or down since 1990 and by how much? ______ c.What percent of students received financial aid in 1990?________2010?_______ d.Write a paragraph describing the changes in the graduating classes of 1990 and 2010. What changes seem especially important?Why? 3.(25 pts) Twenty-five people were asked about the television viewing habits. Number of hours spent watching TV per day Frequency 0 2 1 3 2 5 3 7 4 4 6 2 8 1 10 1 Calculate the mean, median and mode for this data.Which measure of central tendency is the most appropriate to use in this case? Why?What percentage scored above a 9.0? 4.(25 pts) In a normal distribution with a mean of 7.8 and a standard deviation of 0.8 Compute a percentile rank for the person with a score of 6.4. What is the score of a person with a percentile rank of 40%

Consider a situation that you might want to study through a statistical lens. The situation would require you to study a small sample and make an inference to the population. For example, you might want to understand how likely children are to complete their homework when considering their individual characteristics or maybe you want to understand if children who eat broccoli are more likely to complete their homework than those who do not.Respond to the following in a minimum of 100 words without any reference:How would you select a test that was appropriate to answer your question?How would you rule out tests that were not appropriate to answer your question? Post 2 replies to classmates or your faculty member. Be constructive and professional.This is one of the responses from another student that I need to reply to:"To determine the kind of test to use will depend on the population sample collected. For instance, we can use the T-Test to find the difference between the two pairs of the mean. In our case, we need to determine the individual characteristics which can be easily done using the ANOVA test. First, we need to find quality data sample population and compare those population means with three or more population mean. The main idea is to figure out how much of the total variance is from either the variance between the groups or the variance within the groups. Therefore, our Null hypothesis will be all the population mean of those groups is equal while the alternative hypothesis will be at least one mean of those groups is different. As illustrated below.H0: µ1=µ2=µ3Ha: At least one the mean differs from the others.For this case, we have to test how these means differ from other mean populations. We will use the concept of variance to test if our null hypothesis means is likely equal to other means for us to accept or reject if one of the means is not likely to be equal to other means. For better results, we need to study our population sampling as we use the concept of variance. Once we find the one or more mean differ, we have to validate the result because the quality of data affects the outcome, and also it will depend on our population sample."