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)
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Q: Using standard normal table or Excel function find the given probability is, P(Z>0.24)
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- Find the approximate area of the shaded region . The graph depicts the standard normal deviation Z~N(0,1)Find the area of the indicated region under the standard normal curve. -0.45 0 2.11 Probability z is in between two numbers T184 normalcdf Is this is binomial probability or normal probability? What function you use on your calculator? normalcdf) Find the probability or the area below the curve. (type binomial or normal) (type binomialpdf or binomialcdf or (type as .abc)Using the normal distribution table find ZO such that: P(Zo sZs2.85) =.0646 1.28 2.70 1.50 1.42
- DETA Use the table of areas under the standard normal curve to find the probability that a z-score from the standard normal distribution will lie within the interval. (Round your answer to four decimal places.) -1.15 < z < 1Using the normal distribution table find Z0 such that: P(-ZosZs Zo) = .994 2.75 1.54 2.11 2.18Find the area of the shaded region under the standard normal distribution to the right of the given z-score. Round your answer to four decimal places. + + -4 -2 -1 1 2 z = 1.49 3 P(z > 1.49)
- 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…Shade the area under the standard normal curve corresponding to the probability below. P(1 ≤ z ≤ 2 ) Question 28 options:
