A claim is published that in a certain area of high unemployment, $195 is the average amount spent on food per week by a family of four. A home economist wants to test this claim against the suspicion...

A claim is published that in a certain area of high unemployment, $195 is the average amount spent on food per week by a family of four. A home economist wants to test this claim against the suspicion that the true average is lower than $195. She surveys a random sample of 36 families from the locality and finds the mean to be $193.20 with a standard deviation of $6.80. Using the 0.01 level of significance, test the home economists claim. Use P value approach.