3.For young children, losing a tooth is a memorable experience.In some households, it is traditional for the Tooth Fairy to leave money under the child's pillow when a child loses a tooth.Delta Dental claims that the Tooth Fairy leaves an average of more than $3.70 each time a child loses a tooth.

A random sample of children who recently lost a tooth are polled and asked how much money the Tooth Fairy left them for the lost tooth.

The results of the sample are shown below.Perform a hypothesis test to determine if there is sufficient evidence based on the sample to support the claim using the rejection region method and a level of significance of .01.$1.73, $ 2.84, $2.50, $5.00, $3.75, $2.85, $3.73, $10.00, $2.75, $1.50, $2.00, $4.10, $3.80, $3.35,$4.25, $8.00, $3.40, $2.51, $2.80, $0.38, $3.45, $3.70, $2.99, $2.10, $3.72, $3.75, $0.90, $2.65, $4.29, $3.25, $4.00, $2.25, $3.50