A community college Math instructor feels that the average age of community college students decreased since they started teaching 25 years ago. Looking up data from the year the instructor started teaching, the mean age of community college students was 24.3 years old, with a population standard deviation of 2.2 years. The Math instructor took a sample of 40 of their current community college students and found that the sample had a mean age of 23.7 years old. Assume the population of ages of community college students is normally distributed and that the population standard deviation has remained the same.
Test at the 5% significance level if the mean age of community college students is now less than 24.3 years old.
The question is attached.
Extracted text: Select the corect answers from the paranthesis. (i) Hypotheses Ho: M= (0,2.2, 22.7,24.3,25,40) Ha M =(<,>) , 24.3,25,40) H1: (0,2.2,22.7, (ii) Test statistic (2,t) (2,t)- = (-1,72,-0. 27,0.27, %3D 1.72,-1.36, 1.36) Civ) Decision (reject the nol hypothe sis/ Do not reject the null hy pothesis)