We appreciate your visit to In a 1868 paper German physician Carl Wunderlich reported that the mean body temperature for healthy adults is 98 6 F based on over a. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The value of the test statistic is approximately -4.54.
Explanation:
To find the value of the test statistic, we first need to calculate the sample mean and standard deviation. The sample mean is the average of the body temperatures, which can be calculated by summing all the temperatures and dividing by the number of observations. In this case, the sample mean is (98.3 + 98.4 + 98.5 + 98.6 + 97.3 + 98.4 + 98.1) / 7 = 98.3°F.
The next step is to calculate the sample standard deviation, which measures the spread of the body temperatures. We can use the formula:
standard deviation = sqrt((sum of (body temperature - sample mean)^2) / (number of observations - 1))
Using this formula, we can calculate the standard deviation for the given data:
(98.3 - 98.3)^2 + (98.4 - 98.3)^2 + (98.5 - 98.3)^2 + (98.6 - 98.3)^2 + (97.3 - 98.3)^2 + (98.4 - 98.3)^2 + (98.1 - 98.3)^2 / (7 - 1) = 0.0661
With the sample mean and standard deviation calculated, we can use these values to find the test statistic. In this case, we are comparing the sample mean (98.3°F) to the generally accepted mean (98.6°F) reported by Carl Wunderlich. The test statistic can be calculated as:
test statistic = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(number of observations)
Plugging in the values, we have (98.3 - 98.6) / (0.0661 / sqrt(7)) = -0.3 / (0.0661 / 2.6458) ≈ -4.54.
Therefore, the value of the test statistic is approximately -4.54.
Learn more about calculating test statistic here:
https://brainly.com/question/30398134
#SPJ11
Thanks for taking the time to read In a 1868 paper German physician Carl Wunderlich reported that the mean body temperature for healthy adults is 98 6 F based on over a. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
