In one year, an online travel agency reported that summer travelers booked their airline reservations an average of 74.4 days in advance. A random sample of 40 summer travelers in a later year was selected, and the number of days travelers booked their airline reservations in advance was recorded. The data are shown in the accompanying table.

69 76 82 65 60
79 74 75 89 68
87 86 92 56 84
79 60 71 85 86
73 71 92 76 78
69 75 58 63 55
72 85 68 86 74
67 67 54 77 77
A. Perform a hypothesis test using \alpha=0.02 to determine if the average number of days reservations are booked in advance has changed between the years.

B. Determine the critical value(s)

C. Should we reject the null hypothesis?

D. What is the p-value?

Detailed step wise solution is given in the the attached images.

step-by-step explanation:

i believe its "c" because all of the other options include a but it could be d because there is a way of financing with cash at certain places but its uncommon.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is