What is your conclusion (Write out fully) ex.there is/is not a difference

Question

Stanford professors claim that they spend more time re-enacting scenes from Game of Thrones than other professors. Thirty Stanford professors who were randomly selected had a mean time of re-enactment of 95 minutes. As reported in the "Chronicle of Higher Education", the national average of professor GoT re-enactment was 83 minutes with a standard deviation of 20 minutes. Do Stanford professors spend more time re-enacting?

What is your conclusion (Write out fully) ex.there is/is not a difference

Answer 1

Ho: mean = 83

Ha: mean > 83

z = (95 - 83)/20 = 0.6

p(z > 0.6) = 1 - 0.7257 = 0.2743

p-value = 0.2743 > 0.05 level of significance, so would not reject Ho --- there is no statistical evidence that the Stanford professors spend more time re-enacting.