The Owner of a Local Nightclub Has Recently Surveyed a Random

question 62

Short Answer

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.She would now like to determine whether or not the mean age of her customers is greater than 30.If so, she plans to alter the entertainment to appeal to an older crowd.If not, no entertainment changes will be made.The appropriate hypotheses to test are: a) $H _ { 0 } : \mu \geq 30$ versus $H _ { 1 } : \mu < 30$
b) $H _ { 0 } : \mu \leq 30$ versus $H _ { 1 } : \mu > 30$ .
c) $H _ { 0 } : \bar { X } \geq 30$ versus $H _ { 1 } : \bar { X } < 30$ .
d) $H _ { 0 } : \bar { X } \leq 30$ versus $H _ { 1 } : \bar { X } > 30$ .

---

Definitions:

Quality Control Chart

A graphic representation of process data over time, used to monitor the quality of processes.

Central Tendency

A statistical measure that identifies a single value as representative of a dataset, typically through the mean, median, or mode.

Measuring Samples

The act of collecting and analyzing a subset of data from a larger population to draw conclusions or make predictions.