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.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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