In the current pandemic situation, students on our campus are making greater use of robotic food delivery service. University dining services wants to know how satisfied students are with the robotic service during the crisis. It surveyed 45 students on campus and asked them to rate the service on a 100 point scale. They obtained a sample average of 78 points. This service has been provided by the University for some time and the population standard deviation of satisfaction is known to be 5.5 points. a. What is the population parameter for which inferencing is being done? [narrative, no calculation] b. At a 99% level of confidence, what is the margin of error? c. What is the 99% confidence interval for the population parameter? [Note: be sure to express the confidence interval in narrative form for the context of this problem.]
In the current pandemic situation, students on our campus are making greater use of robotic food delivery service. University dining services wants to know how satisfied students are with the robotic service during the crisis. It surveyed 45 students on campus and asked them to rate the service on a 100 point scale. They obtained a sample average of 78 points. This service has been provided by the University for some time and the population standard deviation of satisfaction is known to be 5.5 points.
a. What is the population parameter for which inferencing is being done? [narrative, no calculation]
b. At a 99% level of confidence, what is the margin of error?
c. What is the 99% confidence interval for the population parameter? [Note: be sure to express the confidence interval in narrative form for the context of this problem.]
Solution:
a.
Here, the university dining services interested to know the satisfaction of the students are with the robotic service during the crisis.
The population parameter is the average number of points the students obtained.
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