Question

A staff member at a local grocery store was assigned the job of inspecting all containers of yogurt in the store to determine the number of days to expiry date for each container. Containers that had already expired but were still on the shelves were given a value of 0 for number of days to expiry. The following table gives the frequency distribution of the number of days to expiry date.

Number of Days	Number of Containers
0 to 5	30
6 to 11	66
12 to 17	43
18 to 23	20
24 to 29	10

a. How many containers of yogurt were inspected? containers of yogurt exact number, no tolerance

b. Find the class midpoints. Do all of the classes have the same width? If so, what is this width? If not, what are the different class widths?

Number of Days (Class Limits)	Class Width	Class Midpoint
0 to 5
6 to 11
12 to 17
18 to 23
24 to 29

c. Prepare the relative frequency and percentage distribution columns.

Round your answers for relative frequencies to three decimal places and your answers for percentages to one decimal place.

Number of Days (Class Limits)	Frequency	Relative Frequency	Percentage
0 to 5	30
6 to 11	66
12 to 17	43
18 to 23	20
24 to 29	10

d. What percentage of the containers will expire in less than 18 days? Round your answer to one decimal place. % of the containers will expire in less than 18 days. the absolute tolerance is +/-0.1

e. Explain why you cannot determine exactly how many containers have already expired.

There are too many containers not included in the class 0 to 5.

The containers that have not already expired skews the data.

0 is included in the class 0 to 5.

There are too few containers included in the class 0 to 5.

It is necessary to know the average number of purchases per customer.

f. What is the largest number of containers that may have already expired? The largest number of containers that could already have expired is . exact number, no tolerance

Answer 1

A)

containers of yogurt were inspecteD = 169

...............

B)

Number of Days	Number of Containers	MID POINT	WIDTH
0 to 5	30	2.5	6
6 to 11	66	8.5	6
12 to 17	43	14.5	6
18 to 23	20	20.5	6
24 to 29	10	26.5	6

.............

C)

Number of Days	Number of Containers	REL FRQ	%
0 to 5	30	0.1775	17.75
6 to 11	66	0.3905	39.05
12 to 17	43	0.2544	25.44
18 to 23	20	0.1183	11.83
24 to 29	10	0.0592	5.92

D)

% of the containers will expire in less than 18 days. = 82.24%

...............

THANKS