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A meteorologist measures the temperature in downtown
Chapter 5, Problem 26E(choose chapter or problem)
A meteorologist measures the temperature in downtown Denver at noon on each day for one year. The 365 readings average 57°F and have standard deviation 20°F. The meteorologist computes a 95% confidence interval for the mean temperature at noon tobe 57° \(\pm) (1.96)(20)/\(\sqrt{365}\). Is this correct? Why or why not?
Equation transcription:
Text transcription:
\pm
\sqrt{365}
Questions & Answers
QUESTION:
A meteorologist measures the temperature in downtown Denver at noon on each day for one year. The 365 readings average 57°F and have standard deviation 20°F. The meteorologist computes a 95% confidence interval for the mean temperature at noon tobe 57° \(\pm) (1.96)(20)/\(\sqrt{365}\). Is this correct? Why or why not?
Equation transcription:
Text transcription:
\pm
\sqrt{365}
ANSWER:
Solution:
Step 1 of 3:
A metrologist measure the temperature in downtown Denver at noon on each day for one year. The 365 readings have an average 57o F and standard deviation 20o F. The metrologist computes a 95% confidence interval for the mean temperature at noon is .
We have to check whether this confidence interval is correct or not.