A data set includes body temperatures of healthy adult humans for which 98.1F and s= 0.56F. What is the best point estimate of the mean body temperature of all healthy humans?
Using the sample statistics, construct a confidence interval estimate of the mean body temperature of all healthy humans.Do the confidence interval limits contain 98.6F? What does the sample suggest about the use of 98.6F as the mean body temperature?
What is the confidence interval estimate of the population mean u?
_F<u<_F
Assuming that you are using P = .05,
95% = mean ± 1.96 SEm
SEm = SD/√n
What is the n of your sample?
To find the best point estimate of the mean body temperature of all healthy humans, we can use the sample mean, denoted by x̄. In this case, x̄ = 98.1°F.
To construct a confidence interval estimate of the mean body temperature, we need to consider the sample standard deviation (s) and the desired level of confidence. Let's assume we want a 95% confidence interval, which is commonly used.
The confidence interval can be calculated using the formula:
x̄ ± z * (s/√n)
Where:
- x̄ is the sample mean (98.1°F)
- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.
- s is the sample standard deviation (0.56°F)
- n is the sample size (not provided in the question)
Since the question does not provide the sample size, we are unable to calculate the confidence interval or the point estimate of the population mean accurately.
Regarding the second part of the question, if the confidence interval limits contain 98.6°F, it means that the true population mean body temperature could be 98.6°F. If the confidence interval does not contain 98.6°F, it suggests that 98.6°F is unlikely to be the true population mean body temperature.
Without the sample size, it is not possible to calculate the confidence interval estimate of the population mean. Therefore, the range (_F < u < _F) cannot be determined.