Asked by Yuzuna Tanaka on May 15, 2024
Verified
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.
Mean Response Time
The average time it takes for a system or individual to respond to a given stimulus or request.
Significance Level
In hypothesis testing, it's the threshold below which a p-value suggests that the observed data are unlikely under the null hypothesis, leading to its rejection.
- Acquire the ability to use hypothesis testing for the purpose of comparing average values between two distinct groups.
- Determine and describe the function of t-tests and significance levels in the testing of hypotheses.
- Implement hypothesis testing across diverse domains such as science, business, and health in real-world situations.
Verified Answer
NG
Naveen Gupta KoppuravuriMay 17, 2024
Final Answer :
H0: μ1 - μ2 = 0 HA: μ1 - μ2 ≠ 0 Test statistic t = 2.248,P-value = 0.0269,DF = 94.52 Fail to reject the null hypothesis since the P-value is greater than 0.02.There is not sufficient evidence to accept the claim that the two companies have different mean response times.
Learning Objectives
- Acquire the ability to use hypothesis testing for the purpose of comparing average values between two distinct groups.
- Determine and describe the function of t-tests and significance levels in the testing of hypotheses.
- Implement hypothesis testing across diverse domains such as science, business, and health in real-world situations.
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