Find the following z values for the standard normal variable Z. (You may find it useful to reference the z table. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)           a. P(Z ≤ z) = 0.9863   b. P(Z > z) = 0.6905   c. P(−z ≤ Z ≤ z) = 0.97   d. P(0 ≤ Z ≤ z) = 0.306

Answer.

Find the Z-score if X=25, μ-13, o=1.6 Write the Z-score rounded to 2 decimal places. M |||

​(a) The figure to the right represents the normal curve with μ=266 days and σ=16 days. The area to the left of X=245 is 0.0947. Provide two interpretations of this area.   Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Type integers or​ decimals.)   A. The proportion of human pregnancies that last more than nothing days is nothing.   B. The proportion of human pregnancies that last less than nothing days is nothing.

Calculate the standard score of the given X value, X=51, where μ=48.5 and σ=46.1 and indicate on the curve where z will be located. Round the standard score to two decimal places.

Newly purchased tires of a particular type are supposed to be filled to a pressure of 30 psi. Let µ denote the true average pressure. A test is to be carried out to decide whether u differs from the target value. Determine the P-value for each of the following z test statistic values. (Round your answers to four decimal places.) n USE SALT (а) 2.13 (b) -1.71 (c) -0.57 (d) 1.47 (e) -4.9