Question

A random sample of 20 observations showed a standard deviation of 8. At 95% confidence, test to see if the variance of the population is significantly less than 65. State the null and alternative hypotheses.

Select one:

A. H₀: $Sigma_Small.gif$² 65 H_a: $Sigma_Small.gif$² > 65

B. H₀: $Sigma_Small.gif$² 65 H_a: $Sigma_Small.gif$² < 65

C. H₀: $Sigma_Small.gif$² = 65 H_a: $Sigma_Small.gif$² 65

D. None of the above answers is correct

Answer 1

TOPIC:Null and alternative hypothesis for the given test.

)The answe vo is B / Explanation n=sample size 20, = 8 . sample sd a0.05, dor 95. confi dence level, Popu lation vanuance Claim The populaton vaniance is signiticanty less than C:.e. 665) 65 should but the claim Now, ue alten natve hypo thesis (Ha to conderct the oeauiped test in the . The null and alternative Ho: 0765 Ha:665 Ce laim- Ma

(The null and alternative hypothesis should be disjoint and exhaustive).