At C Question 19 You wish to test the following claim (H₁) at a significance level of a = 0.10. H₁:1 = H2 Hy:μι < μ2 8 Y

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At C Question 19 You wish to test the following claim (H₁) at a significance level of a = 0.10. H₁:1 = H2 Hy:μι < μ2 8 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size ni = 24 with a mean of M₁ = 75.8 and a standard deviation of SD₁ = 14.2 from the first population. You obtain a sample of size 1₂ 25 with a mean of M₂ = 88.7 and a standard deviation of SD2 = 9.8 from the second population. = wa E cula What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = € What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value The p-value is... Priv Ten O less than (or equal to) a O greater than a This test statistic leads to a decision to... Oreject the null accept the null O fail to reject the null As such, the final conclusion is that.... There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean..