Question

A population (with mean μ) follows normal distribution. Ten samples (N) are drawn at random with a mean value of "x" and standard deviation of "S". Following table provides the confidence limits, C(t) of the cumulative probability function for Student's t - distribution two-tailed test with degree of freedom, D.
Which one of the following expression is correct for testing the null hypothesis $H_o: μ = 0$ at 10% significance level?

D	C(t)
	0.9	0.95	0.975
9	1.38	1.83	2.26
10	1.37	1.81	2.23
11	1.36	1.80	2.20

• A. \(-181 < \frac{x}{\frac{S}{\sqrt{N-1}}}<1.81\)
• B. \(-183 < \frac{x}{\frac{S}{\sqrt{N-1}}}<1.83\)
• C. \(-137 < \frac{x}{\frac{S}{\sqrt{N-1}}}<1.37\)
• D. \(-2.23 < \frac{x}{\frac{S}{\sqrt{N-1}}}<2.23\)

Answer 1

The Correct Option is B

The correct answer is (B) :

\( to 183 < \frac{x}{\frac{S}{\sqrt{N to 1}}}<1.83\)