(Answered)-Scores on a test are normally distributed with a mean of 65 and - (2025 Updated Original AI-Free Solution

Question

1. Scores on a test are normally distributed with a mean of 65 and standard deviation of 15 (population parameters). A researcher wants to know if a supplement will cause a change in scores. A sample of is selected and given the supplement. Following the treatment, the average score for the sample is . Is there evidence of a treatment effect? Please show all steps