A drug trial is attempted using a real drug and a pill made of just sugar....

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A drug trial is attempted using a real drug and a pill made of just sugar. 18 people are given the real drug in hopes of increasing the calcium levels. The increase in calcium level is found to be on average 8 micrograms per person, and the sample standard deviation is 5.4 micrograms. 11 people are given the sugar pill, and their average calcium level increase is 4 micrograms with a standard deviation of 2.4. From previous research on calcium level it is determined that it can be assumed that the variances within the two samples can be assumed to be the same. Test at 5% to see if the population mean for the real drug had a significantly greater impact on the calcium level than the population mean with the sugar pill. Help India NGO has a volunteer group who spends one to nine hours each week with an orphanage. The group has people from among UG College students, PG college students, and non-students. In Table below is a sample of the adult volunteers and the number of hours they volunteer per week. Is the number of hours volunteered independent of the type of volunteer? Type of Volunteer/Hrs 1-3 Hours UG College Students PG College Students Non-students Column Total 4-6 Hours 7-9 Hours Row Total 111 96 48 255 96 133 61 290 91 150 53 294 298 379 162 839 A drug trial is attempted using a real drug and a pill made of just sugar. 18 people are given the real drug in hopes of increasing the calcium levels. The increase in calcium level is found to be on average 8 micrograms per person, and the sample standard deviation is 5.4 micrograms. 11 people are given the sugar pill, and their average calcium level increase is 4 micrograms with a standard deviation of 2.4. From previous research on calcium level it is determined that it can be assumed that the variances within the two samples can be assumed to be the same. Test at 5% to see if the population mean for the real drug had a significantly greater impact on the calcium level than the population mean with the sugar pill. Help India NGO has a volunteer group who spends one to nine hours each week with an orphanage. The group has people from among UG College students, PG college students, and non-students. In Table below is a sample of the adult volunteers and the number of hours they volunteer per week. Is the number of hours volunteered independent of the type of volunteer? Type of Volunteer/Hrs 1-3 Hours UG College Students PG College Students Non-students Column Total 4-6 Hours 7-9 Hours Row Total 111 96 48 255 96 133 61 290 91 150 53 294 298 379 162 839