In a cohort of thirty graduating students, there are three different prizes to be awarded. If no student can receive more than one prize, in how many different ways could the prizes be awarded?

The value y (in 1982-1984 dollars) of each dollar paid by consumers in each of the years from 1994 through 2008 in a country is represented by the ordered pairs. (1994, 0.676) (1996, 0.638) (1998, 0.608) (2000, 0.584) (2002, 0.556) (2004, 0.528) (2006, 0.494) (2008, 0.461) (1995, 0.658) (1997, 0.622) (1999, 0.599) (2001, 0.568) (2003, 0.543) (2005, 0.509) (2007, 0.486) (a) Use a spreadsheet software program to generate a scatter plot of the data. Let t = 4 represent 1994. Do the data appear linear? O Yes No (b) Use the regression feature of the spreadsheet software program to find a linear model for the data. (Let t represent time. Round your numerical values to four decimal places.) y 3= (c) Use the model to predict the value (in 1982-1984 dollars) of 1 dollar paid by consumers in 2010 and in 2013. (Round your answers to two decimal places.) 2010 2013 24 Discuss the reliability of your predictions based on your scatter plot and the graph of your linear model for the data. Because the…

A number of parents have volunteered their children to participate in a developmental study administered by a local child psychologist. The following chart summarizes the results of the psychologist's assessments. Developmental Test Scores 40- 35 30 25 20 15 10 1 2 4 5 6 7 8 9 10 Age (years) Which of the following statistical techniques can the psychologist use to determine the developmental score of a typical 4-year- old child despite the fact that no 4-year- old children participated in the study? O Regression O Clustering Classification O Outlier/anomaly detection Score on Developmental Test

The students in an AFDA class have a mean height of 66 inches and a standard deviation of 7 inches.  Find the z-score for a student with a height of 74 inches. Group of answer choices 1.14 1.5 1.41 -1.5

Suppose you have to select one project partner from a set of four classmates, who have different GPAs. Assume you do not know any student’s GPA in advance but can get to know it after you have picked a student from that group (a) Suppose you pick one of the four students at random and accept that student as your project partner. What is the probability that your partner is the one with the highest GPA? (b) Suppose you decide to reject the first student and to then accept the next student if and only if that student has a higher GPA. Note that you MUST have a partner, so if the first three are rejected by you, then you have to accept the fourth student. What is the probability that your partner will be the one with the highest GPA.