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 16 families from the locality and finds the mean to be $193.20 with a standard deviation of $2.80. Can we conclude that the home economist's suspicions are correct? Use a 1% level of significance