According to research, handshakes lasting over 3 seconds can trigger anxiety and affect rela- tionships. Information and details about this research can be found, among others, through the following links:
• How long is too long for a handshake?
• Effects of Handshake Duration on Other Nonverbal Behavior
Suppose you are asked to conduct inferential statistics to test: 1) whether the average handshake duration is three seconds, and 2) whether the proportion of same-gender handshakes lasting over 3 seconds is higher than that of mixed-gender handshakes lasting over 3 seconds.
To prepare and create your project report, please consider the following tasks:
a) Discuss the overall structure and approach of the project, detailing the steps involved in data collection, analysis, and interpretation.
b) Suggest an unbiased estimator for both the average length of handshakes and the propor- tion of same-gender and mixed-gender handshakes lasting over 3 seconds. Briefly justify and discuss your choice of estimator. Further, provide estimates for them.
c) Construct confidence intervals that have a high probability of capturing:
1) the average length of handshakes;
2) the actual proportion of same-gender and mixed-gender handshakes lasting over 3 seconds.
Discuss the implications and findings derived from the confidence intervals.
d) Set up a hypothesis test to test whether the length of handshakes is not three seconds. Discuss the methodology and findings of the hypothesis test.
e) Setupahypothesistesttotestwhethertheproportionofsame-genderhandshakeslasting over 3 seconds is greater than mixed-gender handshakes lasting over 3 seconds. Discuss the methodology and findings of the hypothesis test.
f) Basedonyourfindings,suggestfurtherresearchdirectionsandprovideabriefexplanation of how you would carry out your research.
