Unit 11 F.R2) Based on records from the US Department of Education it is estimated that college students earn an average of $350. Does the sample show sufficient reason to reject the claim? Use ? = 0.05 (8 points)3) What is the key difference between a 1-sample t-test and a 1-sample z-test?(4 points)

I . Some Students that attend college students work full of part time. How much did your working college friends each earn last month? Listed below is the amount earned last month by each student in a random sample of 35 college students. 0 0 105 0 313 453 769 415 244 0 333 0 0 362 276 158 409 0 0 534 449 281 37 338 240 0 0 0 142 0 519 356 280 161 0 a.) Describe the population of interest. (2 points) b.) How many of the students in the sample worked last month? (2 points) c.) Using only the students you identified in part b, describe the variable, amount earned by a working college student last month, using one graph (boxplot or histogram), one measure of central tendency (mean or median depending on the shape of the graph), and one measure of dispersion (standard deviation or IQR depending on the shape of the graph). (6 points) d.) Find evidence to show that the assumptions used for the Student's t-distribution have been satisfied. (2 points) e.) Estimate the mean amount earned by a college student per month using a point estimate and a 95% confidence interval. (4 points)