The mean of all Goliath grouper caught on the Treasure Coast is 389 pounds, with a standard deviation of 63 pounds. Suppose a random sample 65 Goliath Grouper Ron the Treasure Coast are caught and weighed.

Determine the probability that the average weight of the sample of 65 Goliath Grouper its within 22 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four decimal places, if necessary.

P(sampling distribution x within 22 pounds of mean) =

2- According to the National Weather Service, the mean daily temperature in Port St. Lucie is 72.6 degree F, with a standard deviation of 5.8 degree F. Consider the mean daily temperature in Port St. Lucie for a sample of 53 randomly selected days.

Determine the probability that the mean daily temperature of a sample of 53 randomly selected days is less than the mean daily temperature bt at least 2.2 degree F. round the solution to four decimal places, if necessary.

P(sampling distribution X less than mean by at least 2.2 degree F) =

3- There are a total of 19,953 IRSC students, 77% of which are under the age of 25. In a random sample of 313 students, 76% are found to be under the age of 25.

Determine how many students in the population and the sample, respectively are under the age of 25 . Round solutions to the nearest whole number, if necessary.

IRSC students are under the age of 25 =

Students in the random sample of 313 IRSC students are under the age of 25 =