A company provides tuition for mathematics students across the country. It provides two levels of tuition: tuition for generaHevel students and tuition for advanced? level students. All students who receive tuition at this company must first complete a test, to assess their initial comprehension of mathematics. For general-level students, the population mean score in this test is 50.57, with a population standard deviation of 16.40. For advanced students, the population mean score in the test is 81.32, with a population standard deViation $10.61. A statistician wants to study the results of a random selection of general students and a random selection of advanced students. The statistician intends to draw a sample of 200 generallevel students and a sample of 50 advancedlevel students. a) From the following list, select the statements that are true. For each statement, assume that all other measures remain constant in that instance. The larger a population mean, the greater the variation in sample means for samples from that population. The smaller a population mean, the greater the variation in sample means for samples from that population. The larger a population variance, the greater the variation in sample means for samples from that population. The smaller a population variance, the greater the variation in sample means for samples from that population. The larger the sample size for samples from a population, the greater the variation in sample means. The smaller the sample size for samples from a population, the greater the variation in sample means. DDDDDD b) For the samples described in the scenario above, the sample mean scores for samples of generallevel students will have a level of variation than the variation in sample mean scores for samples of advancedlevel students. Loony Park has a new adult ride that holds 15 people. The maximum weight that the ride can carry is 2,834.10 lb. The weight of adults has a mean of 176.12 ll) and a standard deviation of 19.62 lb. Calculate the probability that a random group of 15 people Will overload the maximum weight that the ride can carry. You may nd this standard normal table useful. Give your answer as a decimal to 4 decimal places. (Hint)