Final answer:
The range most likely to describe the estimate for the population mean is D. (78,110), considering the sample mean of 94 and the typical construction of confidence intervals at a 90 percent confidence level, despite the lack of standard deviation and sample size information.
Step-by-step explanation:
If a sample mean is 94, to determine the range of possible values that best describes an estimate for the population mean, one would typically use a confidence interval. A confidence interval is a range of values, derived from the sample mean, that is likely to contain the value of an unknown population parameter. The width of the confidence interval depends on the standard deviation of the population, the sample size, and the confidence level chosen.
In this case, we do not have information about the standard deviation of the population or the sample size. However, if we consider that each range provided is centered around the sample mean of 94 and refer to the concepts of confidence level and the Central Limit Theorem, we can infer the answer.
According to statement c, which mentions a 90 percent confidence level, we would expect that with repeated sampling, 90 percent of the confidence intervals would contain the true population mean. Hence, the range given in option D, (78,110), which is symmetrical and closest in width to the sample mean implied by statement c, would be the most reasonable estimate for the population mean.