Question

in a recent survey the average amount of money students have their wallet is 200 with standard deviation of 45. A teacher feels that the average amount is lower . She surveyed 80 randomly selected students and found that the average amount is 35

Answer 1

The following null and alternative hypotheses need to be tested:

$H_0:\mu\ge200$

$H_1:\mu<200$

This corresponds to a directional one-tailed left-tailed test.