From a population that is normally distributed, a sample of 25 elements is selected and the standard deviation of the sample is computed. For the interval estimation of mu / muμ, the proper distribution to use is the

A. Z distribution with sample size of 25

B. t distribution with 25 degrees of freedom

C. t distribution with 26 degrees of freedom

D. t distribution with 24 degrees of freedom

Question

Mathematics

Lincoln Mccann

26 December, 04:50

From a population that is normally distributed, a sample of 25 elements is selected and the standard deviation of the sample is computed. For the interval estimation of mu / muμ, the proper distribution to use is the

A. Z distribution with sample size of 25

B. t distribution with 25 degrees of freedom

C. t distribution with 26 degrees of freedom

D. t distribution with 24 degrees of freedom

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Answers (1)

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Arnie · Answer 1

Answer: option D

Step-by-step explanation: We will be using the t distribution because the sample size is lesser than 30 (25) and we are making use of the sample standard deviation (s)