Probability of Standard Normal DistributionDirections: Compute the following probabilitiesusing the standard normalcurve. On your answer sheets, construct a curvethen shade the regioncorresponding to the area.1. P(Z > 1.65)

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Answered: Probability of Standard Normal…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Find the approximate area of the shaded region . The graph depicts the standard normal deviation Z~N(0,1)
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Using the normal distribution table find ZO such that: P(Zo sZs2.85) =.0646 1.28 2.70 1.50 1.42
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For a certain knee surgery, a mean recovery time of 11 weeks is typical. With a new style of physical therapy, a researcher claims that the mean recovery time, H, is less than 11 weeks. In a random sample of 92 knee surgery patients who practiced this new physical therapy, the mean recovery time is 10.4 weeks. known to be 2,1 weeks. Assume that the population standard deviation of recovery times Is there enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 11 weeks? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. OSO O=0 (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. Z00s is the value that cuts off an area of 0.05 in the right tail. • The test statistic has a normal distribution and the value is given by…
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…
When does the chi-square distribution approximate the normal distribution? df > 30 df > 90 df > 1000 It never approximates the normal distribution.
Using the normal distribution table find Z0 such that: P(Z0 ≤ Z ≤ 2.85) =.0646
(a) The graph shows a Standard Normal Distribution. You are given 1 or 2 z-score(s) and need to shade the area (=probability) corresponding to: P(z > 1.2). Click on the "Shade" menu to select the shading option corresponding to the question [to the left, to the right, or between 2 values]. Then slide the arrow to the appropriate z-score. Shade: Left of a value Click and drag the arrows to adjust the values. -4 -3 -2 -1 2 4 -1.5 (b) Part 2: you are given an area (=probability), and you need to compute c, which is the z-score that corresponds to the statement: P( - c < z < c) (This is an inverse standard normal distribution problem. Use technology to compute c) The arrow can only be dragged to tick marks that are multiples of 0.1 So, round c to 1 decimal place, and then move the arrow to that rounded value. Click on the "Shade" menu to select the shading option corresponding to the question [to the left, to the right, or between 2 values]. (If the question is less c, choose Left of a…
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≤ −1.99)=_________ Choose the corresponding area under the standard normal curve (look at screenshot).

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Probability of Standard Normal Distribution Directions: Compute the following probabilities using the standard normal curve. On your answer sheets, construct a curve then shade the region corresponding to the area. 1. P(Z > 1.65)