Dimwit, a social media company, wants to become more competitive in the marketplace. They have developed an algorithm that tracks the response and resolution times when customers call for technical support. The company has a service standard of 4 days for the mean resolution time with the standard deviation of 10.3 days. However, the Director of the technical support group has been receiving some complaints of long resolution times. During one week, a sample of 36 customer calls resulted in a sample mean of 5.3. Even though the sample mean exceeds the 4-day standard, does the manager have sufficient evidence to conclude that the mean service time exceeds 4 days, or is this particular sample mean simply a result of sampling error? Use a significance level equal to 1% to test your hypothesis.

MATLAB: An Introduction with Applications
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Dimwit, a social media company, wants to become more competitive in the marketplace. They have developed an algorithm that tracks the
response and resolution times when customers call for technical support. The company has a service standard of 4 days for the mean resolution
time with the standard deviation of 10.3 days. However, the Director of the technical support group has been receiving some complaints of long
resolution times. During one week, a sample of 36 customer calls resulted in a sample mean of 5.3. Even though the sample mean exceeds the
4-day standard, does the manager have sufficient evidence to conclude that the mean service time exceeds 4 days, or is this particular sample
mean simply a result of sampling error? Use a significance level equal to 1% to test your hypothesis.
Transcribed Image Text:Dimwit, a social media company, wants to become more competitive in the marketplace. They have developed an algorithm that tracks the response and resolution times when customers call for technical support. The company has a service standard of 4 days for the mean resolution time with the standard deviation of 10.3 days. However, the Director of the technical support group has been receiving some complaints of long resolution times. During one week, a sample of 36 customer calls resulted in a sample mean of 5.3. Even though the sample mean exceeds the 4-day standard, does the manager have sufficient evidence to conclude that the mean service time exceeds 4 days, or is this particular sample mean simply a result of sampling error? Use a significance level equal to 1% to test your hypothesis.
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