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1. [-/0.33 Points] DETAILS BBUNDERSTAT12 8.5.009.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A random sample of 49 measurements from one population had a sample mean of 16, with sample standard deviation 5. An independent random sample of 64 measurements from a second population had a sample mean of 19, with sample standard deviation 6. Test the claim that the population means are different. Use level of significance 0.01. LA USE SALT (a) What distribution does the sample test statistic follow? Explain. O The Student's &. We assume that both population distributions are approximately normal with known standard deviations. The standard normal. We assume that both population distributions are approximately normal with known standard deviations. The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. The Student's . We assume that both population distributions are approximately normal with unknown standard deviations. (b) State the hypotheses. O HOit , = Hzi Hit, # H2 (c) Compute x1 - X2 *1 - *2 = Compute the corresponding sample distribution value. (Test the difference , - (2. Round your answer to three decimal places.) (d) Estimate the P-value of the sample test statistic. O P-value > 0.500 O 0.250