Test the Indicated Claim About the Means of Two Populations

question 75

Essay

Test the indicated claim about the means of two populations. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations
are equal. Use the traditional method or P-value method as indicated.
-A researcher was interested in comparing the response times of two different cab companies. Companies A and B were each called at 50 randomly selected times. The calls to company A were made independently of the calls to company B. The response times for each call were recorded. The summary statistics were as follows: $$\begin{array} { l c c } & \text { Company A } & \text { Company B } \\\hline \text { Mean response time } & 7.6 \mathrm { mins } & 6.9 \mathrm { mins } \\\text { Standard deviation } & 1.4 \mathrm { mins } & 1.7 \mathrm { mins }\end{array}$$ Use a 0.02 significance level to test the claim that the mean response time for company A is the same as the mean response time for company B. Use the P-value method of hypothesis testing.

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Definitions:

Expressions of Hostility

Behaviors or gestures that convey anger, aggression, or opposition towards others.

Potency Bias

A cognitive bias that leads individuals to overestimate their ability, power, or the effectiveness of their actions.

Workplace Bullying

Unwanted, aggressive behavior in the workplace that involves a real or perceived power imbalance and can include actions like threats, humiliation, or sabotage.

Unreasonable Behavior

Actions or attitudes that are irrational, excessive, or not aligned with normal standards or expectations.