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Extra Credit Homework Assignment: (34 points total possible) -up to 5% additional to your final grade (depending on the score). 1) 5 students from each class were randomly selected from all 44 different undergraduate classes in the Eberly College of Science at Penn State. The 220 undergraduate students completed an anonymous survey. The self-reported GPA values for those students are shown in the histogram and boxplot below.
Extra Credit Homework Assignment: (34 points total possible) -up to 5% additional to your final grade (depending on the score). 1) 5 students from each class were randomly selected from all 44 different undergraduate classes in the Eberly College of Science at Penn State. The 220 undergraduate students completed an anonymous survey. The self-reported GPA values for those students are shown in the histogram and boxplot below. What is the population of interest? All students at Penn State The 220 students All students in the Eberly College of Science All Undergraduate students in the Eberly College of Science What sampling plan was used? cluster sampling systematic sampling convenience sampling stratified sampling what is the shape of the data? Right-skewed Left-skewed Symmetric given the shape of the data, Which measurements should we use for the measure of center and measure of spread (in that order) median, SD median, IQR mean, IQR mean, SD 2) We are given the following 5 number summary for GPA MinimumLower quartile QLMedianUpper quartile QUmaximum1.672.983.303.6254.00 What percent of the data lies within the interval 1.67 to 3.30? What percent of the data lies within the interval 1.67 to 4.00? What percent of the data lies within the interval 2.98 to 4.00? What percent of the data lies within the interval 2.98 to 3.625? What is the IQR (Interquartile Range)? 1.67 to 4.00 2.98 to 3.625 1.67 to 3.30 3) Given the sample mean of GPA, the sample SD, and the sample SE below: Sample meanSDSE3.24540.46350.0309 construct a 95% confidence interval for the population mean GPA construct a 68% confidence interval for the population mean GPA construct a 99.7% confidence interval for the population mean GPA 4) We wish to compare the GPAs of male and female Eberly College of Science undergraduates. We want to see if there is a difference in the GPAs for the two groups of students. The computer output from our analysis is...
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