Consumer reports would like to conduct a hypothesis test to determine if the average battery life for an ipad is different from the average battery life for a kindle fire. the following data represents the battery life from a random sample of ipads and kindle fires in hours. assume that the population variances are equal.
ipad 9 5 8 7 8 9 11 11
kindle 10 9 10 9 12 10 10
a). use the critical value approach to test this hypothesis with α = 0.02.
b). use the p-value approach to test this hypothesis with α = 0.02.
c). construct a 98% confidence interval for the difference in population mean and interpret the results.

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

abby has a greater debt becasue she owea 5 more then alan does

step-by-step explanation:

6

step-by-step explanation: