The frequency distribution below shows the distribution for checkout time (in mi

Question

The frequency distribution below shows the distribution for checkout time (in minutes) in UMUC MiniMart between 3:00 and 4:00 PM on a Friday afternoon. (Show all work. Just the answer, without supporting work, will receive no credit.)

(a)   Complete the frequency table with frequency and relative frequency. Express the relative frequency to two decimal places.
(b)   What percentage of the checkout times was at least 4 minutes?

(c) Does this distribution have positive skew or negative skew? Why?
Checkout Time (in minutes) Frequency Relative Frequency
1.0 - 1.9                                       3
2.0 - 2.9                                       12
3.0 - 3.9                                      0.20
4.0 - 4.9                                         3
5.0 -5.9

Total                                               25

Explanation / Answer

A)

Consider:

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b)

From the table,

P(at least 4) = 0.12 + 0.08 = 0.20 [ANSWER]

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c)

As we can see, the frequency is large on the lower values and low on the high values.

Hence, it has a POSITIVE SKEW. [ANSWER]

Checkout time Frequency Relative Frequency 1-1.9 3 3/25=0.12 2-2.9 12 12/25=0.48 3-3.9 0.2*25 = 5 0.2 4-4.9 3 3/25=0.12 5-5.9 25-(3+12+5+3)=2 2/25=0.08 Total 25 1

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