Thank you for visiting Under normal conditions is the average body temperature the same for men and women Medical researchers interested in this question collected data from a large. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Therefore, we can say with 95% confidence interval that the true difference in mean body temperatures between men and women is between -1.144 and -0.056 degrees Fahrenheit.
a) Hypothesis test setup:
Let μ1 be the population mean body temperature of men and μ2 be the population mean body temperature of women.
Null hypothesis: H0: μ1 = μ2 (The mean body temperature is the same for men and women)
Alternative hypothesis: Ha: μ1 ≠ μ2 (The mean body temperature differs for men and women)
We will use a two-sample t-test for independent samples to test this hypothesis.
b) The exact p-value for the two-sample t-test with the given data is 0.0117. This p-value indicates that if the null hypothesis were true, the probability of obtaining a sample as extreme as the observed sample (or more extreme) is 0.0117. Since this p-value is less than the commonly used significance level of 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to indicate that mean body temperatures differ for men and women.
c) To construct a 95% confidence interval for the difference in population means (μ1 - μ2), we can use the following formula:
CI = (x1 - x2) ± tα/2,ν * SE
where x1 and x2 are the sample means for men and women, tα/2,ν is the t-value for the desired confidence level and degrees of freedom (df), and SE is the standard error of the difference in sample means.
Using the given data, we have:
x1 = 97.5, x2 = 98.4
s1 = 0.35, s2 = 0.366
n1 = 8, n2 = 9
df = n1 + n2 - 2 = 15
t0.025,15 = 2.131 (from t-distribution table)
SE = sqrt(s1^2/n1 + s2^2/n2) = 0.126
CI = (97.5 - 98.4) ± 2.131 * 0.126
CI = (-1.144, -0.056)
To know more about confidence interval,
https://brainly.com/question/29725512
#SPJ11
Thank you for reading the article Under normal conditions is the average body temperature the same for men and women Medical researchers interested in this question collected data from a large. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
