Three math questions needed asap

mathematics.docx

math stats dq hw

questio1

Samples

a-1,3,5

b-0,6,2,5,2

c-3,12,6,3

a. Obtain the sample mean and sample standard deviation of each of the three samples.

b. Obtain SST, SSTR, and SSE by using the defining formulas and verify that the one-way ANOVA identity holds.

d. Construct the one-way ANOVA table.

Question2

14.85 Study Time and Score. Following are the data on total hours studied over 2 weeks and test score at the end of the 2 weeks from Exercise 14.21.

x 10 15 12 20 8 16 14 22

y 92 81 84 74 85 80 84 80

a. Determine a point estimate for the mean test score of all be- ginning calculus students who study for 15 hours.

b. Find a 99% confidence interval for the mean test score of all beginning calculus students who study for 15 hours.

c. Find the predicted test score of a beginning calculus student who studies for 15 hours.

d. Determine a 99% prediction interval for the test score of a beginning calculus student who studies for 15 hours.

Question3

14.81 Corvette Prices. Following are the age and price data for Corvettes from Exercise 14.17. age 6 6 6 2 2 5 4 5 1 4

price 290 280 295 425 384 315 355 328 425 325

a. Obtain a point estimate for the mean price of all 4-year-old Corvettes.

b. Determine a 90% confidence interval for the mean price of all 4-year-old Corvettes.

c. Find the predicted price of a 4-year-old Corvette.

d. Determine a 90% prediction interval for the price of a 4-year- old Corvette.