Suppose 80 independent measurements are made for the speed of sound with an air temperature of 10 Celsius. The mean of the samples was 338.5 meters per second and the standard deviation was 2.2. Which of the statements below are True?a. Approximately 95% of the sample measurements need to be between 338.5 ± 1.96 * 2.2 for the mean of the sample to be normally distributed.b. Based on this sample, the 95% confidence interval for the true speed of sound at 10C is 338.5 ± 1.96 * 2.2/√80c. The probability that the true speed of sound at 10C is between 338.5 ± 1.96 * 2.2/√80 is 95%.d. The probability that the true speed of sound at 10C is between 338.5 ± 1.65 * sqrt(2.2/80) is over 90%.e. Approximately 90% of the sample measurements were between 338.5 ± 1.65 * 2.2/√80f. The sample size of 80 is too small to judge the accuracy of the measurements.

Given, Sample mean, x¯=338.5 Sample standard deviation, s=2.2 Sample size, n=80

Answered: Suppose 80 independent measurements are…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose 80 independent measurements are made for the speed of sound with an air temperature of 10 Celsius. The mean of the samples was 338.5 meters per second and the standard deviation was 2.2. Which of the statement below are True?