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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.
c. Obtain SST, SSTR,and SSE by using the computing formulas.
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.