Asked by Chris James on May 29, 2024
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A study was made to determine which taxi company gave quicker service.Companies A and B were each called at 50 randomly selected times.The response times were recorded.The results are as follows.
Company A Company B
Mean response time 7.6 minutes 6.9 minutes
Standard deviation 1.4 minutes 1.7 minutes
At the 0.02 level of significance,test the claim that the two companies have different mean response times.Carry out the test assuming the population variances are equal.
Mean Response Time
The average time taken to react or respond to a stimulus or task.
Significance Level
A threshold in hypothesis testing that determines whether an observed effect is statistically significant. It is often denoted by alpha (α).
Population Variances
A statistical measure of the dispersion of data points in a population, indicating how much the values differ from the mean.
- Execute and analyze t-tests for independent samples possessing either homogeneous or heterogeneous variances.
- Execute and analyze two-sample t-tests for comparing means of populations.
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Learning Objectives
- Execute and analyze t-tests for independent samples possessing either homogeneous or heterogeneous variances.
- Execute and analyze two-sample t-tests for comparing means of populations.
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