Answered

For each of the following statements, state whether they are true, false, or unknown.

\begin{tabular}{l|l|}
a) The median number of customers per hour is [tex]$16$[/tex]. & True \\
\hline
b) The most number of customers per hour was [tex]$21$[/tex]. & False \\
\hline
c) The range of customers per hour is [tex][tex]$15$[/tex][/tex]. & False \\
\hline
d) The interquartile range is [tex]$7$[/tex] customers per hour. & \\
\hline
e) The busiest time for the store was in the evening. & \\
\hline
f) The data is skewed left. & \\
\end{tabular}



Answer :

Let's analyze each statement individually:

### Statement (3)
- Claim: The median number of customers per hour is 16.
- Answer: False
- Explanation: The given answer for this statement was False, indicating that the median number of customers per hour is not 16.

### Statement (4)
- Claim: The most number of customers per hour was 21.
- Answer: False
- Explanation: The given answer indicates that the statement is incorrect. Therefore, the maximum number of customer visits per hour was not 21.

### Statement (5)
- Claim: The range of customers per hour is 15.
- Answer: False
- Explanation: Since the answer False was given, the range - which is calculated as the difference between the maximum and minimum number of customers per hour - is not 15.

### Statement (6)
- Claim: The interquartile range is 7 customers per hour.
- Answer: Unknown
- Explanation: The solution did not provide a definitive answer for this statement in the given result. Hence, it remains unknown whether the interquartile range is 7 customers per hour or not.

### Statement (7)
- Claim: The busiest time for the store was in the evening.
- Answer: Unknown
- Explanation: Similarly to statement (6), this was not definitively answered in the result, so it is unknown whether the evening was the busiest time for the store.

### Statement (8)
- Claim: The data is skewed left.
- Answer: Unknown
- Explanation: Without more evidence or analysis of the data spread, it remains unknown if the data distribution is left-skewed.

In summary, the given answers indicate the following:
1. The median number of customers per hour is not 16.
2. The most number of customers per hour was not 21.
3. The range of customers per hour is not 15.
4. The interquartile range being 7 customers per hour is unknown.
5. The busiest time for the store being in the evening is unknown.
6. Whether the data is skewed left is unknown.

This detailed evaluation highlights which statements we have definitive conclusions for and which remain uncertain.