91Ó°ÊÓ

In a normal distribution with mean \(\mu=183.5 \mathrm{ft}\) and standard deviation \(\sigma=31.2 \mathrm{ft},\) find the data value corresponding to each of the following \(z\) values: (a) \(z=0\) (b) \(z=-1\)

In a normal distribution with mean \(\mu=83.2\) and standard deviation \(\sigma=4.6,\) find the data value corresponding to each of the following \(z\) values: (a) \(z=0\) (b) \(z=2\)

In a normal distribution with mean \(\mu=183.5 \mathrm{ft}\) and standard deviation \(\sigma=31.2 \mathrm{ft},\) find the data value corresponding to each of the following \(z\) values: (a) \(z=0.5\) (b) \(z=-2.3\)

In a normal distribution with mean \(\mu=83.2\) and standard deviation \(\sigma=4.6,\) find the data value corresponding to each of the following \(z\) values: (a) \(z=-1.5\) (b) \(z=-0.43\)

In a normal distribution with mean \(\mu=50 \mathrm{lb},\) a weight of \(x=84\) lb. has a z-value of 2 . Find the standard deviation \(\sigma\).

In a normal distribution with mean \(\mu=30,\) the data value \(x=-6\) has a \(z\) -value of \(-3 .\) Find the standard deviation \(\sigma .\)

In a normal distribution with standard deviation \(\sigma=15,\) the data value \(x=50\) has a \(z\) -value of 3 . Find the mean \(\mu\).

In a normal distribution with standard deviation \(\sigma=20,\) the data value \(x=10\) has a \(z\) -value of \(z=-2\). Find the mean \(\mu\).

In a normal distribution, the data value \(x_{1}=20\) has a \(z\) -value \(\left(z_{1}\right)\) of -2 and the data value \(x_{2}=100\) has a \(z\) -value \(\left(z_{2}\right)\) of 3 . Find the mean \(\mu\) and the standard deviation \(\sigma .\)

In a normal distribution, the data value \(x_{1}=-10\) has a \(z\) -value \(\left(z_{1}\right)\) of 0 and the data value \(x_{2}=50\) has a \(z\) -value \(\left(z_{2}\right)\) of \(2 .\) Find the mean \(\mu\) and the standard deviation \(\sigma .\)