Final answer:
To increase the z-score for the sample mean, the values of x would need to be either larger or smaller than the mean.
Step-by-step explanation:
The z-score measures how many standard deviations a value x is from the mean μ. To increase the z-score for the sample mean, the values of x would have to be further from the mean. This means that the values of x would have to be larger than the mean for positive z-scores or smaller than the mean for negative z-scores.
For example, if the mean μ is 10 and a value x is 12, the z-score would be positive because x is larger than the mean. If x was instead 8, the z-score would be negative because x is smaller than the mean.
In summary, to increase the z-score for the sample mean, the values of x would need to be either larger or smaller than the mean.