Calculus and Above

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Use the Table provided in...

Use the Table provided in the hand out to find the required x2 - values. Illustrate your work graphically. 1. For a x2 - curve with 19 degrees of freedom, find the x2 - value having area. a. 0.025 to its right b. 0.95 to its right 2. For an x2 - curve with df = 10, determine: a. x20.05 b. x20.0975 3. Consider an x2 - curve with df = 8. Obtain the x2 - value having area a. 0.01 to its left. b. 0.95 to its left 4. Determine the two x2 - values that divide the area under the curve into the middle 0.95 area and two outside 0.025 areas for a x2 - curve with a. df = 5 b. df= 26 5. Determine the two x2 - values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a x2 - value with a. df= 11 b. df = 28 6. The table below provides a relative-frequency distribution for the number of years of school completed by Canadian residents, 25 years old and over. /15 marks Years ReI. Freq. 8 or less 0.183 9 -11 0.153 12 0.346 13 - 15 0.157 16 or more 0.161 A random sample of Ontario residents, 25 years old and over, gave the following statistics: Years Frequency 8 or less 83 13 - 15 36 16 or more 38 9 -11 48 12 95 Do the data provide sufficient evidence to conclude that the distribution of the number of years of school completed by Ontario residents is different from the national distribution? Show all steps. 7. A national survey was conducted to obtain information on the alcohol consumption patterns of Canadian adults by marital status. A random sample of 1772 residents, 18 years old and over, yielded the data displayed in the Table below, for instance, that of the 1772 adults sampled, 1173 are married, 590 abstained, and 411 are married and abstained. / 15 marks Abstain 1-60 Over 60 Total Single 67 213 74 354 Married 411(NNN) NNN-NNNNWidowed 85 51 7 143 Divorced 27 60 15 103 Total Your task is to determine whether there is an association between marital status and alcohol consumption. Determine: (Show all steps) Ho: Marital status and alcohol consumption are statistically independent Ha: Marital status and alcohol consumption are statistically dependent Test for the two assumptions (all expected frequencies are at least 1 and at most 20% of the expected frequencies are less than 5)and indicate in each step what is being performed.

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