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(Zsz)=0.8902 b. P(Z>z)=0.742 c. P(-zsZsz) = 0.97 d. P(OsZsz) = 0.3509

Answer d, e, & f.

​(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.

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.5 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 66 samples is 7.7 ppm with a standard deviation of 1.0 Does the data support the claim at the 0.025 level? Assume the population distribution is approximately normal. Step 2 of 5 :   Find the value of the test statistic. Round your answer to three decimal places. Specify if the test is one-tailed or two-tailed. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places. Make the decision to reject or fail to reject the null hypothesis.

The regression line for Y vs X is given by Y = 0.82X + 59.1. The standard deviations for X and Y are 1.5 and 2.2 respectively. Suppose now we construct a regression line that uses Y to predict X. The predicted average increase of X when Y is increased by 1 unit is ______________. (Give your answer correct to 2 decimal places.)