In the Past, the Average Waiting Time Per Customer at a Fast

question 3

Multiple Choice

In the past, the average waiting time per customer at a fast food restaurant has been 7.5 minutes. The customer waiting time has a normal distribution. The manager claims that the use of a new cashier system will decrease the average customer waiting time in the store. A random sample of 16 customer transactions produces a mean waiting time of 6.3 minutes and a standard deviation of 2 minutes.
-At the 5% level of significance,how would we define the rejection region?

• A)z < -1.645
• B)z > 1.645
• C)t > 1.753
• D)t < -1.753
• E)t < -1.782

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Definitions:

Sample

A subset of data or observations taken from a larger population, used for statistical analysis.

Quantitative Data

Numerical information that can be measured and quantified, allowing for mathematical calculations and statistical analysis.

Interval

A range of values within which a measurement or variable can fall, often used in statistics to estimate uncertainty.

Ordinal

Relating to a categorical ranking or ordering of data where the order of the values is significant, but the differences between them are not necessarily consistent or known.