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Independent random samples from two normal populations produced the given variances. Sample Size Sample Variance 16 18.2 7.8 (a) Do the data provide sufficient evidence
Independent random samples from two normal populations produced the given variances. Sample Size Sample Variance 16 18.2 7.8 (a) Do the data provide sufficient evidence to indicate that a, ? > a, "? Test using a - 0.05. State the null and alternative hypotheses. OH: 2 0 versus Had, OHpizza, versus Hazza, OH : 2x a versus H : OH : 240, versus H : d. OHpia,2 - a, versus H: 0, 2 20,2 State the test statistic. (Round your answer to two decimal places.) F . State the rejection region. (Round your answer to two decimal places.) F > State the conclusion. O H. is not rejected. There is sufficient evidence to indicate that s, = > a, 2. O H. is not rejected. There is insufficient evidence to indicate that s, ? > a, 2. O Ho is rejected. There is sufficient evidence to indicate that s, = > ,". O H. is rejected. There is insufficient evidence to indicate that s, = > a,?. (b] Find the approximate p-value for the test. O p-value 0. 100 Interpret Its value. O Since the p-value is less than 0.05, there is sufficient evidence to indicate that a, = > a,2. O Since the p-value is not less than 0.05, there is insufficient evidence to indicate that a. = > a. O Since the p-value is less than 0.05, there is insufficient evidence to indicate that a, " , a,. O Since the p-value is not less than 0.05, there is sufficient evidence to indicate that a, ? > a2 2. You may need to use the appropriate appendix table or technology to answer this
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