Question

The time needed for college students to complete a certain paper and pencil maze follows a Normal distribution, with a mean of 70 seconds and a standard deviation of 15 seconds. You wish to see if the mean time μ is changed by meditation, so you have a group of 9 college students meditate for 30 minutes and then complete the maze. You compute the average mean of their times to complete the maze and will use this information to test the hypotheses
H0: μ = 70, Ha: μ notequal 70

at significance level α = 0.05. If you observe a sample mean completion time of mean = 78.55, the P-value obtained

Answer 1

Step 1: Check if Conditions are valid (Independence, 10%)
Step 2: Generate z score (x - μ / sdev)
Step 3: Generate P-value (normcdf(z, 9999))
Step 4: Determine if P-value is less than 0.05 (reject null) or not (no evidence to reject null)