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Chapter 7: Q. 82 (page 434)

82. Would you be surprised, based upon numerical calculations, if the sample average wait time (in minutes) for 100 riders was less than 30 minutes?

a. yes

b. no

c. There is not enough information.

Short Answer

Expert verified

Standard deviation is the statistical term used to find the measurement of a certain group.

Step by step solution

01

Given information

Given in the question that, the time to wait for a particular rural bus is distributed uniformly from zero to 75 minutes.

02

Explanation 

From the information given in the question, the time to wait a particular rural bus is distributed as uniformly from 0 to 75 minutes.

Therefore, the distribution will follow the uniform distribution as follow:

X~U(0,75)

The average waiting time is computed as below:

=0+752

=37.5minutes

Hence, the average waiting time for a rural bus for 100 riders will not be less than 37.5minutes.

Therefore, the correct answer is option 'a'.

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