Question

The average math SAT score is 517517 with a standard deviation of 112112. A particular high school claims that its students have unusually high math SAT scores. A random sample of 5050 students from this school was​ selected, and the mean math SAT score was 546546. Is the high school justified in its​ claim? Explain.

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :  $\mu$ = 517

H_a : $\mu$   $\neq$ 517

Answer 2

Null as well as alternative hypothesis is equals to 5.17