A scientist measured the speed of light. His values are in km/sec and have 299,000 subtracted from them. He reported the results of 29 trials with a mean of 756.24 and a standard deviation of 102.95. a) Find a 90% confidence interval for the true speed of light from these statistics. b) State in words what this interval means. Keep in mind that the speed of light is a physical constant that, as far as we know, has a value that is true throughout the universe. c) What assumptions must you make in order to use your method? a) A 90% confidence interval for the true speed of light is ( km/ sec, km/ (Round to two decimal places as needed.) b) In words, what does the 90% confidence interval mean? O A. Any measurement of the speed of light will fall within this interval 90% of the time. O B. For all samples, 90% of them will have a mean speed of light that falls within the confidence interval. OC. The confidence interval contains the true speed of light 90% of the time. O D. With 90% confidence, based on these data, the speed of light is between the lower and upper bounds of the confidence interval. c) What assumptions must you make in order to use your method? Select all that apply.
A scientist measured the speed of light. His values are in km/sec and have 299,000 subtracted from them. He reported the results of 29 trials with a mean of 756.24 and a standard deviation of 102.95. a) Find a 90% confidence interval for the true speed of light from these statistics. b) State in words what this interval means. Keep in mind that the speed of light is a physical constant that, as far as we know, has a value that is true throughout the universe. c) What assumptions must you make in order to use your method? a) A 90% confidence interval for the true speed of light is ( km/ sec, km/ (Round to two decimal places as needed.) b) In words, what does the 90% confidence interval mean? O A. Any measurement of the speed of light will fall within this interval 90% of the time. O B. For all samples, 90% of them will have a mean speed of light that falls within the confidence interval. OC. The confidence interval contains the true speed of light 90% of the time. O D. With 90% confidence, based on these data, the speed of light is between the lower and upper bounds of the confidence interval. c) What assumptions must you make in order to use your method? Select all that apply.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Transcribed Image Text:A scientist measured the speed of light. His values are in km/sec and have 299,000 subtracted from them. He reported the results of 29 trials with a mean of 756.24
and a standard deviation of 102.95.
a) Find a 90% confidence interval for the true speed of light from these statistics.
b) State in words what this interval means. Keep in mind that the speed of light is a physical constant that, as far as we know, has a value that is true throughout the
universe.
c) What assumptions must you make in order to use your method?
a) A 90% confidence interval for the true speed of light is ( km/ sec, km / sec).
(Round to two decimal places as needed.)
b) In words, what does the 90% confidence interval mean?
O A. Any measurement of the speed of light will fall within this interval 90% of the time.
O B. For all samples, 90% of them will have a mean speed of light that falls within the confidence interval.
O C. The confidence interval contains the true speed of light 90% of the time.
O D. With 90% confidence, based on these data, the speed of light is between the lower and upper bounds of the confidence interval.
c) What assumptions must you make in order to use your method? Select all that apply.
O A. The measurements are independent.
O B. The data come from a distribution that is nearly uniform.
OC. The sample is drawn from a large population.
O D. The measurements arise from a random sample or suitably randomized experiment.
O E. The data come from a distribution that is nearly normal.
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