The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of

1.8

pounds with a standard deviation of

1.05

pounds. In a recent study, a group of

55

people who used this pill were interviewed. The study revealed that these people lost a mean of

1.88

pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of

55

individuals will be

1.88

pounds or more?

Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.