distributed, with mean μ=55 and standard deviation σ=4. Find the 6th percentile
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Assume the random variable X is normally distributed, with mean
and standard deviation
Find the
percentile.
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- A random variable is normally distributed with mean 84.2 and standard deviation 17.5. What value is 2 standard deviations below the mean?Assume the random variable X is normally distributed, with mean u= 44 and standard deviationo = 9. Find the 13th percentile.Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 35 minutes and a standard deviation of 3 minutes, while method B has a mean of 39 minutes and a standard deviation of 1.5 minutes. Which procedure is preferred if the procedure must be completed within 34 minutes? Which procedure is preferred if the procedure must be completed within 40.0 minutes? Which procedure is preferred if the procedure must be completed within 43 minutes?
- Assume the random variable X is normally distributed with mean 50 and standard deviation of 7. What is the 86th percentile?A distribution of values is normal with a mean of 197.6 and a standard deviation of 24.6.Find P40, which is the score separating the bottom 40% from the top 60 P40 =The standard deviation of pulse rates of adult males is less than 10 bpm. For a random sample of 144 adult males, the pulse rates have a standard deviation of 9.1 bpm. Find the value of the test statistic.
- Suppose the masses of a batch of 2000 potatoes have a mean of 60 grams with a standard deviation of 8 grams. Assuming the weights have a normal distribution, predict the number of potatoes that would have masses between 45 and 55 grams. Sketch the distribution curve, shade the required probability, and show horizontal scales the population parameters and the z-scores. Solve the problemA random sample of 100 observations from a quantitative population produced a sample mean of 28.0 and a sample standard deviation of 6.5. Use the p-value approach to determine whether the population mean is different from 31.Assume that weights of adult females are normally distributed with a mean of 77 kg and a standard deviation of 22 kg. What percentage of individual adult females have weights between 71 kg and 83 kg? If samples of 100 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between 71 kg and 83 kg?
- A reading class can read an mean of 175 words per minute and a population standard deviation of 20 words per minutes. The top 3% of the class is to receive a special award for a random sample of 49 students. What is the minimum average number of words per minute a student would need to read in order to get the award for a random sample of 49 students? Assume the data is normally distributed.Assume a light bulb has a burn life that is normally distributed with a mean of 159 hours and a standard deviation of 16 hours. Suppose you sample 30 bulbs and calculate a sample average (Y) burn life. Find the probability that a give bulb in the sample has a burn life greater than 163 hours.Suppose the length of human pregnancies from conception to birth varies according to a distribution that is normal with mean of 266 days and standard deviation of “alpha”. 11.7% of pregnancies last 284 days or more, find the variance of the distribution .