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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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Chapter 9, Problem 34AYU

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QUESTION:

The following data represent the number of customers waiting for a table at 6:00 P.M. for 40 consecutive Saturdays at Bobak’s Restaurant.

\(\begin{array}{rrrrrrrr}
11 & 5 & 11 & 3 & 6 & 8 & 6 & 7 \\
\hline 4 & 5 & 13 & 9 & 6 & 4 & 14 & 11 \\
\hline 13 & 10 & 9 & 6 & 8 & 10 & 9 & 5 \\
\hline 10 & 8 & 7 & 3 & 8 & 8 & 7 & 8 \\
\hline 7 & 9 & 10 & 4 & 8 & 6 & 11 & 8
\end{array}\)

(a) Are these data discrete or continuous? Explain.

(b) Construct a frequency distribution of the data.

(c) Construct a relative frequency distribution of the data.

(d) What percentage of the Saturdays had 10 or more customers waiting for a table at 6:00 P.M.?

(e) What percentage of the Saturdays had 5 or fewer customers waiting for a table at 6:00 P.M.?

(f) Construct a frequency histogram of the data.

(g) Construct a relative frequency histogram of the data.

(h) Describe the shape of the distribution.

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QUESTION:

The following data represent the number of customers waiting for a table at 6:00 P.M. for 40 consecutive Saturdays at Bobak’s Restaurant.

\(\begin{array}{rrrrrrrr}
11 & 5 & 11 & 3 & 6 & 8 & 6 & 7 \\
\hline 4 & 5 & 13 & 9 & 6 & 4 & 14 & 11 \\
\hline 13 & 10 & 9 & 6 & 8 & 10 & 9 & 5 \\
\hline 10 & 8 & 7 & 3 & 8 & 8 & 7 & 8 \\
\hline 7 & 9 & 10 & 4 & 8 & 6 & 11 & 8
\end{array}\)

(a) Are these data discrete or continuous? Explain.

(b) Construct a frequency distribution of the data.

(c) Construct a relative frequency distribution of the data.

(d) What percentage of the Saturdays had 10 or more customers waiting for a table at 6:00 P.M.?

(e) What percentage of the Saturdays had 5 or fewer customers waiting for a table at 6:00 P.M.?

(f) Construct a frequency histogram of the data.

(g) Construct a relative frequency histogram of the data.

(h) Describe the shape of the distribution.

ANSWER:

Step 1 of 9

The data in the next column represent the number of customers waiting for a table at 6:00 PM for 40 consecutive Saturdays at Bobak’s Restaurant as,

\(\begin{array}{rrrrrrrr} 11 & 5 & 11 & 3 & 6 & 8 & 6 & 7 \\ \hline 4 & 5 & 13 & 9 & 6 & 4 & 14 & 11 \\ \hline 13 & 10 & 9 & 6 & 8 & 10 & 9 & 5 \\ \hline 10 & 8 & 7 & 3 & 8 & 8 & 7 & 8 \\ \hline 7 & 9 & 10 & 4 & 8 & 6 & 11 & 8 \end{array}\)

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