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- TypedII. True or False. Read each statement below carefully. Write T if the you think the statement is true and F if you think the statement if false. _1. Any normal distribution is asymptotic around a vertical line erected at the mean. 2. The normal distribution is continuous random variable. 3. Approximately the area is 200% under the curve which represents the probability or proportion or percentage associated with specific sets of measurement values. _4. In a normal distribution, the mean divides the area in half--- 0.5000 on each side. 5. The width of the curve is determined by the mean of the distribution.H0: μ ≤ 16.09 vs. HA: μ > 16.09What is the test statistic for sample of size 25, mean 13.97,and standard deviation 1.48?
- NoneA normal distribution has a mean of=100 with a SD= 20 . If one score is randomly selected from this distribution. What is the probability that the score will have a value between X=100 and X=130? NOTE: Using the z-score table attachedThe average time to run the 5K fun run is 24 minutes and the standard deviation is 2.6 minutes. 8 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( 24 2.6 b. What is the distribution of ? ī - N( 24 0.9192 c. What is the distribution of > x? > x - N( 192 7.3539 v) 192 o 7.3539 d. If one randomly selected runner is timed, find the probability that this runner's time will be between 23.7212 and 24.9212 minutes. e. For the 8 runners, find the probability that their average time is between 23.7212 and 24.9212 minutes. f. Find the probability that the randomly selected 8 person team will have a total time less than 186.4. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The top 15% of all 8 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can…
- = Scores on a standardized exam are known to follow a normal distribution with standard deviation o 8.2. A researcher randomly selects 100 students and computes their average score. He reports that the mean score is 83, with a margin of error of 1.436. How confident are you that the mean score for all students taking the exam is in the interval (81.564, 84.436)?Assume that adults have IQ scores that are normally distributed with a mean of μ= 100 and a standard deviation σ = 20. Find the probability that a randomly selected adult has an IQ less than 120. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected a (Type an integer or decimal rounded to fo Standard Normal Table (Page 1) NEGATIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 02 .03 .04 .05 .06 .07 .08 .09 -3.50 and lower .0001 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 0002 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 0004 .0004 0004 .0003 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 0006 .0005 .0005 0005 -31 0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 -3.0 .0013 0013 .0013 0012 .0012 .0011 .0011 .0011 0010 0010 -2.9 .0019 .0018 0018 .0017 .0016 .0016 0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 0019 -2.7 .0035 .0034 .0033 .0032 .0031…I have answered most of the questions. Please helped me with the last 2 question G and H. Thank you
