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
9	1.38
10	1.37
11	1.36

• 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

Answer: (B)

$-183 < \frac{x}{\frac{S}{\sqrt{N-1}}}<1.83$

Answer 2

The correct answer is (B) :

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