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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

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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 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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