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Sixty-four independent measurements were made of the speed
Chapter 5, Problem 22E(choose chapter or problem)
Sixty-four independent measurements were made of the speed of light. They averaged 299,795 km/s and had a standard deviation of 8 km/s. True or false:
a. A 95% confidence interval for the speed of light is 299,795 \(\pm\) 1.96 km/s.
b. The probability is 95% that the speed of light is in the interval 299,795 \(\pm\) 1.96.
c. If a 65th measurement is made, the probability is 95% that it would fall in the interval 299,795 \(\pm\) 1.96.
Questions & Answers
QUESTION:
Sixty-four independent measurements were made of the speed of light. They averaged 299,795 km/s and had a standard deviation of 8 km/s. True or false:
a. A 95% confidence interval for the speed of light is 299,795 \(\pm\) 1.96 km/s.
b. The probability is 95% that the speed of light is in the interval 299,795 \(\pm\) 1.96.
c. If a 65th measurement is made, the probability is 95% that it would fall in the interval 299,795 \(\pm\) 1.96.
ANSWER:Step 1 of 5
A confidence interval is a range of values that is likely to contain the true population parameter of interest. It is calculated using a sample statistic, such as the sample mean or sample proportion, and a margin of error. The margin of error is determined by the sample size, the level of confidence, and the variability of the data.