Given a standard normal distribution, find the value of k such that (a) P(Z> k) = 0.3156; (b) P(Z< k) = 0.0322; (c) P(- 0.76

Consider the normal distribution represented by the normal curve in the figure to the right. (Assume the two labeled values are equidistant from the mean.) Complete parts (a) and (b) below. 95% of the data 73.2 cm 96.8 cm (a) Find the mean μ and standard deviation σ of the distribution. με cm (Simplify your answer.) σ = cm (Simplify your answer.) (b) Find the first quartile Q1 and the third quartile Q3 of the distribution. ༠ ༤ cm (Round to the nearest tenth as needed.) Q3≈ cm (Round to the nearest tenth as needed.)

Using the accompanying normal table, find the z-value such that(a) P(Z>z)=0.05(b) P(−z<Z<z)=0.99

state whether or not this resulting observed interval ended up capturing the true population proportion p of 0.45.

For an F-distribution, find (a) f0.05 with v₁ = 6 and v₂ = 8; (b) f0.05 with V₁ = 8 and v₂ = 6; (c) f0.01 with V₁ = 10 and v₂ = 24; (d) fo.95 with v₁ = 24 and v₂ = 10; (e) fo.99 with V₁ = 7 and v₂ = 9. Click here to view page 1 of the table of critical values of the f-distribution, for alpha = 0.01. Click here to view page 2 of the table of critical values of the f-distribution, for alpha = 0.01. Click here to view page 1 of the table of critical values of the f-distribution, for alpha = 0.05. Click here to view page 2 of the table of critical values of the f-distribution, for alpha = 0.05. ... (a) f0.05 = (Round to two decimal places as needed.)

Find the​ z-scores for which 15​% of the​ distribution's area lies between −z and z.

-2 0. For a standard normal distribution (u answer to 2 decimal places. 0 and o 1), find c given P(Z < c) - 0.556, please show your

Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.                       zz 0.26760.2676 0         A symmetric bell-shaped curve is plotted over a horizontal scale with two labeled coordinates. One coordinate is labeled "0" and is located at the center and peak of the curve. The other coordinate is labeled "z," and is to the left of 0. A vertical line extends from the scale to the curve at z. The area under the curve to the left of z is shaded and labeled “0.2676.”