D
The 95% confidence interval for the mean of a population is computed to be 6 to 14. This means that we are 95% confident that the true population mean falls within this interval.
Based on this information, we can make the following claims:
A. The population mean is more than 7: This claim cannot be supported or refuted by the given confidence interval, since it is possible that the population mean is less than 7 and still falls within the interval.
B. The population mean is less than 15: This claim cannot be refuted by the given confidence interval, since it is possible that the population mean is less than 15 and still falls within the interval.
C. The population mean is exactly 9: This claim cannot be supported or refuted by the given confidence interval, since it is possible that the population mean is not equal to 9 and still falls within the interval.
D. The population mean is between 8 and 10: This claim can be supported by the given confidence interval, since the interval (6, 14) contains the values 8 and 10.
E. The population mean is more than 17: This claim can be refuted by the given confidence interval, since the upper bound of the interval is 14, which is less than 17.
Therefore, the claim that the confidence interval tends to support is D. The population mean is between 8 and 10.