The following table shows the heights of 8 NBA players.
Players- Height (inches)
Jeff Adrien- 79
Jason Kidd- 76
Baron Davis- 75
Kevin Love- 82
Jermaine O'Neal- 83
Vernon Macklin- 72
LeBron James- 80
Andre Iguodala- 78
a) Find the 5-number summary
b) Compute IQR
c) Draw the box plot for the above data set.
d) Find sample mean and sample standard deviation of the above data set
e) Suppose those players were a random sample of the NBA and assume the heights of NBA players follow Normal distribution. Find a 95% confidence interval for the mean height of NBA players?
f) If the heights of NBA players follow Normal distribution with a mean of 79 inches and a standard devotion of 3inches. What is the mean of the sample mean of 8 heights? What is the standard deviation of the sample mean of 8 heights?
g) In f) find the 80th percentile of the sample mean?