14. (10 points) A cereal company lists the net weight of their Family Size cereal boxes as 22.5 ounces. Their competitor claims that the actual net weight is less on average. The competitor takes a simple random sample of 56 Family Size cereal boxes and finds a sample mean of 22.3 ounces and sample standard deviation of 0.76 ounces. Test the competitor's claim at the 5% significance level. 15. (10 points) The clean of the science department at a community college needs to determine how many weekend classes to offer for the upcoming semester. Historically, 14% of students have had at least one weekend class during any given semester. The clean thinks this proportion will be higher next semester. A survey of 190 prospective students finds that 33 of them plan to take weekend classes next semester. Test the dean's claim at the 1% significance level. 16. (10 points) A sociologist wishes to determine whether the distribution of levels of education for adults in a certain region is different today than it was in a 2010 report. The sociologist randomly selects 1,000 adults and obtains the following data. The 'expected' column shows the distribution of highest degree earned assuming the 2010 report is true, and the 'observed' column is the actual data from the sample. Level of Education Expected or Trade School 15 60 20 105 58 67 49 Graduate or Test the claim that the distribution is different today than it was in 2010 at the a = 0.05 significance level