CQE Exam Dumps | Given a sample mean. X = 515. a sample standard deviation, s = 9. and a sample size, n = 6. what is the

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Question 81/86

Given a sample mean. X = 515. a sample standard deviation, s = 9. and a sample size, n = 6. what is the absolute value of the Student's t statistic to test if the sample mean is equal to the population mean, U = 500?

A. 1.67

B. 3.73

C. 4.08

D. 10.00

Correct Answer: B

The Student's t statistic is calculated as follows:
t = (X - ) / (s / n)
Given:
* Sample mean (X) = 515
* Population mean () = 500
* Sample standard deviation (s) = 9
* Sample size (n) = 6
t = (515 - 500) / (9 / 6) = 15 / (9 / 2.45) 3.73
References:
* Montgomery, D.C., & Runger, G.C. (2010). Applied Statistics and Probability for Engineers.Wiley.
* NIST/SEMATECH. (n.d.). e-Handbook of Statistical Methods. Retrieved
fromhttps://www.itl.nist.gov/div898/handbook/

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