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: $\mu$ = 30 vs.H₁: $\mu$ $\lt$ 30. B) H₀:$\mu$ =30 vs.H₁: $\mu$$\gt$30. C) H₀:= 30 vs.H₁:$\lt$ 30. D) H₀:= 30 vs.H₁:$\gt$ 30.

Question

Quizplus · Accepted Answer

The appropriate hypotheses to test are: Null hypothesis: The mean age of the customers is not over 30 (μ ≤ 30) Alternative hypothesis: The mean age of the customers is over 30 (μ > 30) Thus the appropriate choice for the null and alternative hypothesis is H₀: F1F1F1S1μF1F1F10=30 vs. H₁: F1F1F1S1μF1F1F10>30. Option B is the only one with the correct alternative hypothesis. Option A is incorrect because it has “less than” instead of “greater than” as an alternative hypothesis. Option C and D are incorrect because they only have one hypothesis and not the alternative.

The Owner of a Local Jazz Club Has Recently Surveyed μ\muμ

The Owner of a Local Jazz Club Has Recently Surveyed $\mu$