Answer to Question #170398 in Statistics and Probability for Riem Agineb

Question

According to Variety (Jan. 10, 2014), the average age of Broadway ticket buyers is 42.5 years. Suppose a Broadway theatre executive hypothesizes that the average age of ticket buyers to her theatre’s plays is less than 42.5 years. To test her hypothesis, she samples 200 ticket buyers to her theatre’s plays and determines the age of each. (10 pts.)

a) Describe the population.

b) Describe the variable of interest.

c) Describe the sample.

d) Describe the inference.

Answer 1

a) The population: all Broadway ticket buyers.

b) Variable of interest: mean age of all Broadway ticket buyers.

c) The sample: 200 ticket buyers.

d) Inference: one sample t-test.