question archive A statistician argues when sample size is big enough, the probability that the mean of the sample be higher than the mean of the population is the same as the probability that the mean of the sample be lower than the mean of population
A statistician argues when sample size is big enough, the probability that the mean of the sample be higher than the mean of the population is the same as the probability that the mean of the sample be lower than the mean of population
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A statistician argues when sample size is big enough, the probability that the mean of the sample be higher than the mean of the population is the same as the probability that the mean of the sample be lower than the mean of population. Do you agree or disagree? Discuss your answer.
-The Ministry of health in BC wants to compare the average amount of time people spend in the Stanly Park versus English Bay during peak times to implement effective safety measures for COVID-19. A random sample of 25 persons in the Stanly Park spent an average of 14.6 minutes with a sample standard deviation of 5.8 minutes. A random sample of 27 persons in the English Bay spent an average of 11.5 minutes with a sample standard deviation of 4.9 minutes. Perform a hypothesis test using α = 0.05 to determine if the average time people spend in the Stanly park is more than the average time people spend in the English Bay.
