The owner of a local Jazz Club has recently surveyed a random sample of n = 200 customers of the club.She would now like to determine whether or not the mean age of her customers is over 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)H₀: μ = 30 vs.H₁: μ 30. C)H₀: = 30 vs.H₁: 30.

Question

The owner of a local Jazz Club has recently surveyed a random sample of n = 200 customers of the club.She would now like to determine whether or not the mean age of her customers is over 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)H₀: μ = 30 vs.H₁: μ < 30. B)H₀: μ = 30 vs.H₁: μ > 30. C)H₀: = 30 vs.H₁: < 30. D)H₀: = 30 vs.H₁: > 30.

Quizplus · Accepted Answer

The null hypothesis should always have an equals sign. The alternative hypothesis should have a directional symbol (greater than, less than or not equal to). Therefore, the best choice is B, where H₀: μ = 30 (null) and H₁: μ > 30 (alternative).

The Owner of a Local Jazz Club Has Recently Surveyed