Question

To test Ho: σ= 2.4 versus H 1 : σ 12.4, a random sample of size n 21 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s 1.2, compute the test statistic. x8-D (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the α 0.05 level of significance, determine the critical values. The critical values are χ2025-Dand 9751 x6.975 Round to three decimal places as needed.) (c) Draw a chi-squared distribution and depict the critical region. Choose the correct graph below O A. OD. (d) Will the researcher reject the null hypothesis? Why? Choose the correct answer below O A. No, because the test statistic is in the critical region O B. Yes, because the test statistic is in the critical region. lick to select your answer(s)

Answer 1

Ans:

a)

Test statistic:

Chi square=(21-1)*1.2^2/2.4^2=5.000

b)df=21-1=20

$\chi ^2_{0.025}=34.170$

$\chi ^2_{0.975}=9.591$

c)Option B is correct.

d)Yes,because test statistic is in the critical region.