Final answer:
The sample mean is 27 and the sample variance is 62. The standard error for M is 2.48.
Step-by-step explanation:
To compute the sample mean, we sum up all the scores and divide it by the number of individuals in the sample. In this case, the sum of scores is 43 + 15 + 37 + 17 + 29 + 21 + 25 + 29 + 27 = 243.
The sample mean is 243/9 = 27.
To compute the sample variance, we first need to calculate the squared difference between each score and the sample mean.
For the first score (43), the squared difference is (43 - 27)^2 = 256.
We do this for all scores, then sum up these squared differences.
In this case, the sum of squared differences is 496.
Finally, we divide the sum by the number of individuals minus 1 (9 - 1 = 8) to get the sample variance: 496/8 = 62.
The standard error for M is calculated by taking the square root of the sample variance divided by the sample size: √(62/9) = 2.48