MAT-274 Inferential Statistics Project It is suspected that among fraternal twin

MAT-274 Inferential Statistics Project
It is suspected that among fraternal twins, the first-born twin has a higher resting heart rate from ages 0-2 years. The attached Excel sheet contains resting heart rate data (in beats per minute) 129 pairs of randomly selected fraternal twins, measured at age 1 year. Answer the following, furnishing relevant calculations and explanations where appropriate:
Determine the most appropriate type of experimental design and sampling strategy for this experiment. Note you are not collecting the actual data, as the sample is provided, but describe how this data set could be collected in the most accurate and unbiased way.
What type of inferential test would be appropriate in this situation? Be sure to include valid statistical justification and discuss both confidence interval estimation and hypothesis testing in your response. Discuss the appropriate confidence and significance levels.
State the formal null and alternative for your hypothesis test determined in part (2). Make sure to use correct notation.
Using the attached Excel sample data, complete the relevant hypothesis calculations. Furnish an Excel screenshot clearly highlighting the test-statistic, p-value, and any other information you deem relevant.
Make a formal decision on the null hypothesis. State your decision both in formal statistical language and using language relevant to the application discussed (resting heart rate difference between the twins).
Using the attached Excel sample data, complete the relevant confidence interval calculations. Furnish an Excel screenshot clearly highlighting the confidence level, lower limit, and upper limit, as well as any other information you deem relevant.
Discuss the implication of the confidence interval. Does the confidence interval suggest the same decision on the null as (6)? Explain how you arrived at your answer in detail. Discuss what the confidence interval tells us about the difference between the twins’ heart rates at age 1 year.
If the sample size were increased to n=1290, but the pattern in the data continued, what would you expect to happen to the decision on the null? Would your decision be likely to change? Explain in detail.
Finally, list at least three possible confounding variables that may cause this experiment to be biased or untrustworthy. How could you modify the experiment to control for these issues?