The national average for the number of students per teacher for all U.S. public schools is 15.9. A random sample of 12 school districts from a moderately populated area showed that the mean number of students per teacher was 19.2 with a variance of 4.41. Assume a normal distribution is appropriate for the number of students per teacher.a)[7 pts] Estimate the true mean number of students per teacher with 95% confidence from the random sample. b) [6 pts] A researcher makes the claim that moderately populated districts have a different number of students per teacher than the national average. Do the data support this claim

A basketball player had scored 865 points in 31 games.The rate at which he scored points per game is 27.90

Solution:

Let us consider, the total number of points scored by the player is P.  

Let the total matches he played is M.

In order to find the points scored by player per game in a match, we have to divide total points scored by the player in all his played matches by total matches played.

The Rate scored by the player per game is given as,

In our given problem the total matches played by player = 31 Games.

The total points scored by the player in all matches = 865 points.

Hence, the rate at which the player scored points = = 27.90

Hence, the rate of points scored by player per game is 27.90