Question

QUESTION 25 Using the critical value approach in hypothesis testing. If your level of significance is 05, sigma is unknown, your sample size is 60 and it is a two failed test, what critical value would you start rejecting the nul hypothesis ? OA - 1.960 OB.1.645 C. +- 2.000 OD. + 2.001 OE None of the above QUESTION 26 A sample of 41 observations yielded a sample standard deviation of 5. If we want to test le sigma-20, the festist O A 100 OB. 10 C.51.25 D.50 None of the above

Answer 1

Answer 25

Based on the information provided, the significance level is α=0.05, and the degree of freedom is n-1=60-1=59. Therefore the critical value for this Two-tailed test is tc​=2.001. This can be found by either using excel or the t distribution table.
The answer is therefore

${\color{Purple} \text{ D. } +-2.001}$

Answer 26

The formula for a Chi-Square statistic is

$\chi^2 = \frac{(n-1)s^2}{\sigma^2} = \frac{(41-1)*25}{20} =50$

${\color{Purple} \text{ D. } 50}$

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