In: Math
Imagine you created a new drug that you think will increase IQ. As a responsible researcher, you want to test this drug to see if it does, indeed, significantly alter IQ scores. To that end, you recruit a sample of n=9 individuals and give them the new drug. After one month, you record their IQ scores and find that the mean IQ of the sample is 109. We know that the population distribution of IQ scores has a mean of μ=100 with a standard deviation of σ=15. Use this data to run a full hypothesis test using the z-score hypothesis test to test the hypothesis that people who take your drug have significantly different IQ scores compared to the whole population (alpha of α=0.05, two-tailed test). For your answer to this question, write a paragraph IN YOUR OWN WORDS that contains all of the following information:
Hypotheses
Critical values
Final z-score answer
Conclusion about the null hypothesis
Written summary of the conclusions that can be made from this study
Answer:
Here people who take your drug have not significantly different IQ scores compared to the whole population.
Explanation: