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Significance. SUF Jones is significantly higher than that of Professor Smith. 1.2 In a random sample of 400 students in a college of business, 176 favored the addition of more required mathematics courses in the freshman and sophomore years. In a random sample of 600 students in colleges of liberal arts, 216 favored the addition of more required mathematics courses in the fresh- man and sophomore years. a. Can you be reasonably sure (probability = 0.01) that the percentages of students in the two type of schools differed in their opinions on this subject? b. Construct a 93% confidence interval for the difference between the percentages. THURO TO 101 nevsa 2olq alsnad ni 7.3 Arandom sample of 225 families in City A revealed that 25 families had annual incomes over $88,0 Another random sample of 225 families from City B contained 35 with annual incomes over $88,C a. Would you conclude that a higher percentage of families in City B had incomes over $88,000 families in City A? Justify your conclusion statistically using a 0.04 level of significance. mo b. Construct a 92% confidence interval for the difference between the percentages. vel 200 In a certain year the mean interest rate on loans to a random sample of 80 large retailers (that is with assets of $10,000,000 or more) was 10.0% and the standard deviation was 0.6%. Two year a random sample of 100 loans to large retailers yielded a mean interest rate of 10.25% and a st deviation of 0.72%. a. Would you conclude that there has been a change in the average level of interest rates retailers? Use a 0.01 level of significance. fingia

Significance. SUF Jones is significantly higher than that of Professor Smith. 1.2 In a random sample of 400 students in a college of business, 176 favored the addition of more required mathematics courses in the freshman and sophomore years. In a random sample of 600 students in colleges of liberal arts, 216 favored the addition of more required mathematics courses in the fresh- man and sophomore years. a. Can you be reasonably sure (probability = 0.01) that the percentages of students in the two type of schools differed in their opinions on this subject? b. Construct a 93% confidence interval for the difference between the percentages. THURO TO 101 nevsa 2olq alsnad ni 7.3 Arandom sample of 225 families in City A revealed that 25 families had annual incomes over $88,0 Another random sample of 225 families from City B contained 35 with annual incomes over $88,C a. Would you conclude that a higher percentage of families in City B had incomes over $88,000 families in City A? Justify your conclusion statistically using a 0.04 level of significance. mo b. Construct a 92% confidence interval for the difference between the percentages. vel 200 In a certain year the mean interest rate on loans to a random sample of 80 large retailers (that is with assets of $10,000,000 or more) was 10.0% and the standard deviation was 0.6%. Two year a random sample of 100 loans to large retailers yielded a mean interest rate of 10.25% and a st deviation of 0.72%. a. Would you conclude that there has been a change in the average level of interest rates retailers? Use a 0.01 level of significance. fingia

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Problem 12:** In a random sample of 400 students in a college mathematics course in the freshman and sophomore years, 176 favored the addition of more required mathematics courses. In a random sample of 600 students in the freshman and sophomore years, 216 favored the addition of more required mathematics courses. a. Can you be reasonably sure (probability = 0.01) that the percentages of students in the two types of schools differ in their opinions on this subject? b. Construct a 93% confidence interval for the difference between the percentages. --- **Problem 13:** A random sample of 225 families in City A revealed that 25 families had annual incomes over $88,000. Another random sample of 225 families from City B contained 35 with annual incomes over $88,000. a. Would you conclude that a higher percentage of families in City B had incomes over $88,000 than families in City A? Justify your conclusion statistically using a 0.04 level of significance. b. Construct a 92% confidence interval for the difference between the percentages. --- **Problem 14:** In a certain year, the mean interest rate on loans to a random sample of 80 large retailers (that is, those with assets of $10,000,000 or more) was 10.0%, and the standard deviation was 0.6%. Two years later, a random sample of 100 loans to large retailers yielded a mean interest rate of 10.25% and a standard deviation of 0.72%. a. Would you conclude that there has been a change in the average level of interest rates for all large retailers? Use a 0.01 level of significance.
Transcribed Image Text:**Problem 12:** In a random sample of 400 students in a college mathematics course in the freshman and sophomore years, 176 favored the addition of more required mathematics courses. In a random sample of 600 students in the freshman and sophomore years, 216 favored the addition of more required mathematics courses. a. Can you be reasonably sure (probability = 0.01) that the percentages of students in the two types of schools differ in their opinions on this subject? b. Construct a 93% confidence interval for the difference between the percentages. --- **Problem 13:** A random sample of 225 families in City A revealed that 25 families had annual incomes over $88,000. Another random sample of 225 families from City B contained 35 with annual incomes over $88,000. a. Would you conclude that a higher percentage of families in City B had incomes over $88,000 than families in City A? Justify your conclusion statistically using a 0.04 level of significance. b. Construct a 92% confidence interval for the difference between the percentages. --- **Problem 14:** In a certain year, the mean interest rate on loans to a random sample of 80 large retailers (that is, those with assets of $10,000,000 or more) was 10.0%, and the standard deviation was 0.6%. Two years later, a random sample of 100 loans to large retailers yielded a mean interest rate of 10.25% and a standard deviation of 0.72%. a. Would you conclude that there has been a change in the average level of interest rates for all large retailers? Use a 0.01 level of significance.
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