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Test the claim about the difference between two population means , and u2 at the level of significance o. Assume the samples are random and independent, and the populations are normally distributed. Claim: Hy S H2; a = 0.05. Assume of #03 Sample statistics: x, =2415, s, = 176, n, = 13 and *2 = 2291, S2 = 54, n2 = 9 . . . . . Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H1 2 H2 OB. Ho: H1 # H2 Ha: H1 = H2 Ha: H1 = H2 O C. Ho: Hy

H2 OE. HO: H1 = H2 OF. Ho: H1 > H2 Ha: Hy # H2 Ha: H1 S H2 Find the standardized test statistic t. 'Round to two decimal places as needed.) Find the P-value. P = (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho. There enough evidence at the 5% level of significance to reject the claim