8. A sample of n=7 scores has a mean of X= 9. One score in the sample is
changed from X=19 to X=5. What is the value for the new sample mean?
To find the value for the new sample mean, you will need to recalculate the mean after the score has been changed.
The mean (X̄) of a sample is calculated by summing up all the scores in the sample and then dividing by the number of scores in the sample.
In this case, initially, the sample had n=7 scores with a mean of X=9. To find the initial sum of the scores, you can multiply the mean by the number of scores: 9 * 7 = 63.
After changing one score from X=19 to X=5, you will need to recalculate the sum of the scores. To do this, subtract the original score (19) and add the new score (5) to the initial sum.
63 - 19 + 5 = 49.
Now that you have the new sum of the scores (49), you can calculate the new mean by dividing the sum by the number of scores in the sample (n=7).
49 / 7 = 7.
Therefore, the value for the new sample mean is X=7.