Test the claim about the difference between two population means u, and 2 at the level of significance of. Assume the samples are random and independent, and the populations are normally distributed. Claim: H1 S H2; a = 0.05. Assume of # 6? Sample statistics: X1 = 2416, s, = 170, n, = 15 and *2 = 2294, $2 = 50, n2 = 10 Identify the null and alternative hypotheses. Choose the correct answer below. OB. HO: H1 # H2 OA. HO: H1

H2 O C. Ho: H1 2 H2 Ha: My SH2 Ha: My

H2 Find the standardized test statistic t. 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