Carol believes that the petrol prices in her local area are greater than the average price in metropolitan Sydney. She collects samples of data from her local area (population 2) and also Sydney (population 1). Assuming equal variances is there evidence to support her claim at the 10% level of significance? Use worksheetF of the Excel Exam data file to answer this question. The mean value for the local area is given by The variance for the Sydney area is given by The null and alternative hypotheses are Assuming equal variances, the decision rule at the 10% level of significance is 0 The pooled variance is A v The pooled variance is A V 0 The calculated test statistic is The p-Value for this test is The conclusion to the hypothesis test is