Which of following is true about x - distribution? O As the number of degrees of freedom increases, the graph of the chi-square distribution looks more and more symmetrical. The standard deviation of the chi-square distribution is twice the mean. The mean and the median of the chi-square distribution are the same if df - 24, O All of them,1 point A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $947 and $1,011, respectively. The population standard deviations are known to be $254 and $87, respectively. At 5% level, conduct a hypothesis test to determine if the means are statistically the same. Zo.05 = 1.645 20.025 = 1.96 20,005 - 2.58 reject the null and conclude the means are statistically the same. do not reject the null and conclude the means are statistically the same. C reject the null and conclude the means are statistically different. O do not reject the null and conclude the means are statistically different. insufficient information to dataFour basketball teams took a random sample of players regarding how high each player can jump (in inches). The results are shown in Table 12.15. What Is the di(num)? Team 1 Team 2 Team 3 Team 4 Team 5 36 32 48 38 41 42 35 50 44 39 51 38 39 46 40 Table 12.15 O A 5 10 14 151 point Sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. To te if 68% also represents California's percent for full-time faculty teaching the online classes, Long Beach City College (LBCC) in California, was randomly selected for comparison. In the same year, 34 of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents California. Find the test statistic and conclusion for this test Z = 1.32, Do not reject the null hypothesis O Z - 1.47, Reject the null hypothesis Z = 1.32, Reject the null hypothesis Z= 1.47, Do not reject the null hypothesis O None of the other answers are correct