In: Statistics and Probability
It has been suggested that pets provide a supportive social function in buffering adverse response to physiological stressors. A sample of 20 pet owners were subjected to stressors with their pets present and their heart rates were measured (mean=75.32 beats per minute). A previous study found that heart rates of individuals under stress in this population is normally distributed with mean = 82.18 and sigma = 8.15.
A. Construct a 90% confidence interval for μ.
Interpret the 90% confidence interval above:
B. Conduct a 2-sided test to see if the presence of pets was associated with reduced stress. Show all hypothesis testing steps.
i. Hypothesis statements
ii. Test statistic
iii. p-value =
iv. Conclusion of significance