4.2 Area under the curve, Part II. What percent of a standard normal distribution N(μ = 0,0 = 1) is found in each region? Be sure to draw a graph. (a) Z> -1.13 (b) Z < 0.18 (c) Z>8 (d) |Z| <0.5

About % of the area under the curve of the standard normal distribution is outside the interval Z = (-1.07,1.07) (or beyond 1.07 standard deviations of the mean). Please show your answer to 2 decimal places.

Photon is a training device that is designed to improve a user's reaction time. Similar devices have been criticized for being too easy to master, but the makers of Photon say that their device is built to give most users room to improve. The makers say that even among professional athletes, the proportion, p, who can score the top ranking of "light speed" is less than 18%. A random sample of 115 professional athletes is chosen, and 15 score a ranking of "light speed" while using the device. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that the proportion of all professional athletes who can score a ranking of "light speed" is less than 18%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Oロ H: ロ=ロ ローロ (b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1-p) to confirm that a Z-test can be used. (One…

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About _________% of the area under the curve of the standard normal distribution is between z=−0.928z=-0.928 and z=0.928z=0.928 (or within 0.928 standard deviations of the mean).