Historically, the Average Time It Takes Jessica to Swim the 200

question 102

Essay

Historically, the average time it takes Jessica to swim the 200 meter butterfly is 148.4 seconds. Jessica would like to know if her average time has changed. She records her time on 50 randomly selected occasions and computes the mean to be 147.8 seconds with a standard deviation of 2.3 seconds.
Perform the appropriate test of hypothesis to determine whether Jessica's average time has changed. Use = 0.01.
Test statistic = ______________
Critical Value(s) = ______________
Conclusion: ______________
Interpretation: __________________________________________
Compute the power of the test if Jessica's actual mean swimming time is 147.3 seconds.
______________
Interpret the results.
________________________________________________________

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Definitions:

Informational Control

The ability to manage and utilize information effectively to guide behavior and decisions, often impacting perceptions of control over the environment.

Assertiveness

The quality of being self-assured and confident without being aggressive, enabling clear and effective communication of one's needs or desires.

Silent Authority

A form of influence based on the perception that someone has the right to prescribe behavior due to their positional power without the need for verbal instructions.

Upward Appeals

A strategy where an individual attempts to influence a decision or gain support by appealing to higher-level superiors or citing influential or authoritative higher sources.