Question

A rental car agency has 15 rental cars on its lot. The following table shows the mileage of each car. Use the data to complete parts a through d below. 19602 11021 18609 10016 8744 6400 14986 6200 4607 11945 4483 16086 15820 13542 19 790 a. Calculate the mean for this population. muequals nothing ​(Round to one decimal place as​ needed.) b. Calculate the sampling error using the 5 cars in the first row as your sample. The sampling error for the first 5 cars is nothing. ​(Round to one decimal place as​ needed.) c. Calculate the sampling error using the 10 cars in the first two rows as your sample. The sampling error for the first 10 cars is nothing. ​(Round to one decimal place as​ needed.) d. How does increasing the sample size affect the sampling​ error? A. In​ general, increasing the sample size makes the sampling error smaller. B. In​ general, increasing the sample size makes the sampling error larger.

Answer 1

a)
N = Number of Data Values = 15

Sum of Data Values = Σxᵢ = 181851

μ = Popuplation Mean = Σxᵢ / N = 181851 / 15 = 12123.4

b)
let us consider the 5 cars in the first row as your sample in first row as our sample

we compute the sample mean

x = = Σxᵢ / N = 67992 / 5 = 13598.4

sampling error = x - μ
= 13598.4 -12123.4
= 1475

c)
let us consider the 10 cars in the first row as your sample in first row as our sample

we compute the sample mean

x = Σxᵢ / N = 112130 / 10 = 11213

sampling error = x - μ
= 11213 -12123.4
= -910.4

d)
The correct option A

In general, increasing the sample size makes the sampling error smaller.