A certain fast-food location claims that the average (mean) wait time in the drive-thru lane is 3 minutes. One customer thinks that the average wait time is actually longer than that, and so the customer takes a random sample of drive-thru lane wait times. The customer observes 72 transactions, and the sample had an average (mean) wait time of 3.6 minutes.

a) The 3.6 is a/an:

• variable
• observation
• sample statistic
• population parameter

b) The sample size is:

• 3.6
• 72
• 3

c) Each drive-thru transaction is a/an:

• variable
• sample statistic
• observation
• population parameter

d) The drive-thru time for each transaction is a/an:

• variable
• population parameter
• observation
• sample statistic

e) All drive-thru times at the fast-food location is:

• the sample
• the parameter
• the statistic
• the population

f) The 3 is equal to the the claimed value for the:

• parameter
• population
• sample
• statistic

g) The symbol for the claimed value of the population parameter, 3, is:

• x
• p^

h) The symbol for the observed statistic, 3.6, is:

• p^
• x

i) If we conduct a simulation in order to create the distribution of sample statistics, then the distribution will be centered at approximately:

• 3
• 3.6
• 72

j) If we conduct a simulation in order to create the distribution of sample statistics, then the shape of the distribution will be approximately:

• left skewed since 3 is less than 3.6
• normal (bell curve)
• right skewed since 3.6 is more than 3
• there is no way to know

A certain fast-food location claims that the average (mean) wait time in the drive-thru lane is 3 minutes. One customer thinks that the average wait time is actually longer than that, and so the customer takes a random sample of drive-thru lane wait times. The customer observes 72 transactions, and the sample had an average (mean) wait time of 3.6 minutes. In order to conduct a statistical analysis, a Rossman Chance applet was used to see if the candidate's claim can be supported. Use the distribution of 100 simulated statistics generated by the applet (pictured above) to answer the questions.

a) There are 100 little squares in the simulated distribution. What does each little square represent?

• The average wait time of a sample of 100 drive thru transactions if we assume that the average wait time for all transactions is atually 3 minutes.
• The average wait time of a sample of 72 drive thru transactions if we assume that the average wait time for all transactions is atually 3 minutes.
• The average wait time of a sample of 72 drive thru transactions if we assume that the average wait time for all transactions is atually 3.6 minutes.
• The average wait time of a sample of 72 drive thru transactions if we don't know the average wait time for all transactions.

b) Which of the following conclusions is the most accurate to make based on our observed statistic?

• We conclude that the average wait time at the restaurant is 3 minutes.
• Because our statistic is usual/expected, it is plausible that the average wait time for customers at the fast food restaurant is 3 minutes.
• Because our statistic is unusual/unexpected, we have strong evidence that the average wait time at the restaurant is more than 3 minutes.
• We conclude that the average wait time at the restaurant is 3.6 minutes.