Public School Teachers Salaries: The average salary for public school teachers f

Question

Public School Teachers Salaries: The average salary for public school teachers for a specific year was reported to be $39,385. A random sample of 50 public school teachers in a particular state had a mean of $ 41,680 and a standard deviation of $5975. Is there sufficient evidence at the = 0.05 level to conclude that the mean salary differs from $39,385 ? Thank you Public School Teachers Salaries: The average salary for public school teachers for a specific year was reported to be $39,385. A random sample of 50 public school teachers in a particular state had a mean of $ 41,680 and a standard deviation of $5975. Is there sufficient evidence at the = 0.05 level to conclude that the mean salary differs from $39,385 ? Thank you

Explanation / Answer

consider H0 : mean= 39,385 and Ha: mean not equal to 39, 385, z= difference in mean/ standard deviation of mean, =2295/5975< 1.96 i.e. z at alpha/2 as z is not significant, we accept the null hypothesis.i.e. mean = 39,385

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