Historically, the height of Jone university female student has been basically distributed with(previous?) average of 167.5 centimeter. But Dean stat perceives that women on average, are somewhat taller than ib the past. So the dean collects a random sample of 19 Jone university female students and finds out that :Total Height =3184.4cm, while sum of [hight-(average height)^2] equal 74(cm)^2. A level of significance of 5% is to be used.
A- Find the average Jone university female height and variance of Jone university female height.
B- What decision do you make? In other words, do you believe the average female height in this university has risen?