Question

OL Teacher Salaries A researcher claims that the mean of the salaries of elementary school teachers is greater than the mean of the salaries of secondary school teachers in a large school district. The mean of the salaries of a random sample of 27 elementary school teachers is $48,500, and the sample standard deviation is $3912.40. The mean of the salaries of a random sample of 25 secondary school teachers is $45,400. The sample standard deviation is $5533. At a=0.10, can it be concluded that the mean of the salaries of the elementary school teachers is greater than the mean of the salaries of the secondary school teachers? Use the P-value method and use , for the mean of the salaries for elementary school teachers. Assume the variables are normally distributed and the variances are unequal. Part 1 of 5 (a) State the hypotheses and identify the claim. HH, H2 not claim HIM, > H2 claim This hypothesis test is a one-tailed test. Part: 1/5 Part 2 of 5 (b) Compute the test value. Round the answer to at least three decimal places.

Answer 1

2 . 525 5533 Solution from given data 7 = 48500 SIF 3912.40 NIE 27 72 = 45400 , 92 = 25 d=OILO hypothesis test Hoil = 42 HIIMI 342 test statistict= XI X2 Janr 139,2 + (02-0523 Toto thu nitna- 48500 - 45400 Q70 3912:402+(254255332 thing 27725-2 ta 9347 P-value 010115 <0. lo nullhypothees Desented These isenough evidence to clau PAGETI your writing partner