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- Suppose X has a normal distribution with mean 135 and variance 36. Find the 67th percentile of the distribution of X. Answer choice 132.36 137.64 146.76 123.24A student who took Stat 2 last semester learns that their overall course score was at the 85th percentile. Assuming that a histogram of all the Stat 2 course scores from last semester follows the normal curve, this means that this student had a score that was how many SDs above the average score? Choose the answer that is closest. Group of answer choices 1.15 1.05 1.10 1.0 PreviousNextSuppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is between 36 and 41? Round your answer to the nearest tenth of a percent. OA. 56.5% OB. 83.5% O C. 62.5% O D. 77.5%
- In a normal distribution, ____ of the distribution lies within one standard deviation of the mean. 50%. 68%. 95%. 99.7%.A normal distribution has a mean of µ-32 with a 4. What score separates the highest 40% of the distribution from the rest of the scores? Select one: O a. X-43 O b. X-42.67 Oc. X-33 O d. X-54.4In a normal curve, the percentage of the scores between one and two standard deviations above the mean is approximately __________. Select one: a. 14% b. 50% c. It is impossible to tell. d. 2% Clear my choice
- Students in a class took a test whose results were normally distributed. The mean score was an 81 and the standard deviation was 4.5. What score is at the 83rd percentile (round to the nearest whole number.) a.84 b.83 c.85 d.86=24.4 % 5. Commercial cherry trees produce fruit according to a normal distribution with an average of 90 kg of cherries per tree and a standard deviation of 11 kg per tree. a. Label the horizontal axis appropriately on the Normal curve at right. b. What is the probability that a tree produces at least 95 kg of cherries? Shade the appropriate area in the figure, and then determine the proportion. c. What is the probability that a tree yields between 85 and 105 kg of cherries? 57 68 79 90 101 112 123 d. What percentile would a harvest of 80 kg be for a single tree?In a certain population, the mean score on a test is 420. The standard deviation is 105. If the distribution or scores is normal, which of these scores should occur most often. a. 385 b314 c. 540 d. 526