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) H₀: μ ≥ 30 versus H₁: μ 30. C) H₀: ≥ 30 versus H₁: 30.

Question

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) H₀: μ ≥ 30 versus H₁: μ < 30. B) H₀: μ ≤ 30 versus H₁: μ > 30. C) H₀: ≥ 30 versus H₁: < 30. D) H₀: ≤ 30 versus H₁: > 30.

Quizplus · Accepted Answer

The null hypothesis should always contain the equal sign, so H₀ should be "μ ≤ 30". The alternative hypothesis should reflect what the researcher is interested in testing, so H₁ should be "μ > 30" to determine if the mean age is greater than 30. Therefore, the appropriate hypotheses to test are H₀: μ ≤ 30 versus H₁: μ > 30, which is option B.

The Owner of a Local Nightclub Has Recently Surveyed a Random