ANSWER ALL QUESTION (35 MARKS) 1. Suppose a study has been conducted to determine whether there is a difference between
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ANSWER ALL QUESTION (35 MARKS) 1. Suppose a study has been conducted to determine whether there is a difference between
QUESTION (35 MARKS) 1. Suppose a study has been conducted to determine whether there is a difference between student debt at private, for-profit universities and public universities. It was found from random samples that the private, for-profit colleges' average debt was $38,300 and the public colleges average was $11,800. The respective standard deviations were $2,050 and $2,084. The sample sizes were 75 and 205, respectively. Conduct a hypothesis test to determine if there is significance difference between the private, for-profit universities and public universities (Use a 0.05 significance level). (15 marks) 2. To target health-conscious consumers, a potato chips manufacturer tried four different fats to see which one was least absorbed by the potato chips during the deep-frying process. The following table shows the grams of fat absorbed by each 100 grams of potato chips. Fat Observed (grams) 64 72 67 78 91 97 82 75 93 78 71 55 66 49 64 Fat 1 Fat 2 Fat 3 Fat 4 85 70 Potato chips absorb Fat 2 the most and Fat 4 the least, with intermediate amounts of Fat I and Fat 3. But there is a lot of overlap too. Help the manufacturer determine if there is a difference in the average fat absorbed by the potato chips by conducting a 5% significance level ANOVA analysis for it (20 marks)
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