Question

A professor wishes to test a claim that the mean test score of her first class is lower than the mean test score of her second class. A random sample of size 16 with a mean of 61.3 and a standard deviation of 8.6 is selected from her first class. A random sample of size 18 with a mean of 74.3 and a standard deviation of 13.4 is selected from her second class. Assume that test scores in both classes are normally distributed with unknown but unequal standard deviations. Test the claim at a significance level of 0.10. What are the correct hypotheses? Select the correct symbols in the order they appear in the problem. Ho: Select an answer ? Select an answer v H: Select an answer v ? Select an answer What is the test statistic? (Report answer accurate to three decimal places.) Test statistic = What is the p-value? (Report answer accurate to four decimal places.) p-value = The decision to the hypotheses is to... Select an answer that the mean test score of her The final conclusion is: Select an answer first class is lower than the mean test score of her second class.

Answer 1

BARFI Page No. Date solution: To test Hoil, la VIS H, M, cuz Given: x = 61.3 x = 74.3 S,= 8.6 S = 13.4 n = 16 n2=18 use x = 0.10 statistic Test t= (se, - ₂) - (M-12) 5,2 522 + nz t = 11 61.3-74.3 (8.6) 2 (13.42 f 16 18 -13 3.8207 N t = -3.402 Now, we have to calculate degree of freedom 5,2 2 2 + 32 ชาน ni dif elf 522 + 5212 (ni ST 22-1