Question

In: Statistics and Probability

1. How many occurrences are reflected in the class with the least monthly out-of-pocket expenditures ?...

1. How many occurrences are reflected in the class with the least monthly out-of-pocket expenditures ?

2. Compute the average monthly out-of-pocket expenditures for prescription drugs for the sample of senior citizens.

a.

63

b.

101

c.

32.31

d.

25.20

Monthly Expenditures Frequency
1-25 240
26-50 165
51-75 80
76-100 15
101-125 5

Solutions

Expert Solution

1.

There are 240 occurrences reflected in the class with the least monthly out-of-pocket expenditures(1-25).

2.

The grouped data information provided, with the corresponding frequencies is shown in the table below:

Classes Frequency (f)
1-25 240
26-50 165
51-75 80
76-100 15
101-125 5

For each of the grouped classes we need to compute the midpoint (M), by calculating the average between the lower and upper value of the class. Then, the following table si obtained:

Classes M f M · f M2 · f
1-25 13 240 3120 40560
26-50 38 165 6270 238260
51-75 63 80 5040 317520
76-100 88 15 1320 116160
101-125 113 5 565 63845
Sum = 505 16315 776345

From the table, we compute the sample mean as follows:

OPTION C is correct!

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