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Your question was incomplete. Need to resubmit. The 68-95-99 probabilities correspond to 1, 2 and 3 standard deviations respectively. 68% of the time, chicks will hatch in 20 to 22 days, 95% of the time in 19 to 23 days, and 99% of the time in 18 to 24 days. Suggest you break the question into three parts.
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Can the variance of a normally distributed random variable be negative?
No. The variance of any distribution is the sum of the squares of the deviation from the mean. Since the square of the deviation is essentially the square of the absolute value of the deviation, that means the variance is always positive, be the distribution normal, poisson, or other.
Why is it that only one normal distribution table is needed to find any probability under the normal curve?
Anything that is normally distributed has certain properties. One is that the bulk of scores will be near the mean and the farther from the mean you are, the less common the score. Specifically, about 68% of anything that is normally distributed falls within one standard deviation of the mean. That means that 68% of IQ scores fall between 85 and 115 (the mean being 100 and standard deviation being 15) AND 68% of adult male heights fall between 65 and 75 inches (the mean being 70 and I am estimating a standard deviation of 5). Basically, even though the means and standard deviations change, something that is normally distributed will keep these probabilities (relative to the mean and standard deviation). By standardizing these numbers (changing the mean to 0 and the standard deviation to 1) we can use one table to find the probabilities for anything that is normally distributed.
What is the probabilty that the individuals pressure will be between 120 and 121.8 if the mean pressure is 120 and the standard deviation is 5.6 with a normally distributed variable?
It is 0.37, approx.
How can you calculate z-score?
If a normally distributed random variable X has mean m and standard deviation s, then z = (X - m)/s
What is mean by -3standard deviation in bmi?
BMI varies from person to person and one measure of this variability is the standard deviation. Assuming the BMI is approximately normally distributed, only around 0.135% of the people will have results that are -3 sd or lower.
What are the best statistics to use for data that is normally distributed?
The mean and standard deviation. If the data really are normally distributed, all other statistics are redundant.
What percentage of the normally distributed population lies within the plus or minus one standard deviation of the population mean?
68.2%
A particular fruit's weights are normally distributed, with a mean of 298 grams and a standard deviation of 13 grams.If you pick one fruit at random, what is the probability that it will weigh between 262 grams and 269 grams?
A particular fruit's weights are normally distributed, with a mean of 760 grams and a standard deviation of 15 grams. If you pick one fruit at random, what is the probability that it will weigh between 722 grams and 746 grams-----A particular fruit's weights are normally distributed, with a mean of 567 grams and a standard deviation of 25 grams.
Can the variance of a normally distributed random variable be negative?
No. The variance of any distribution is the sum of the squares of the deviation from the mean. Since the square of the deviation is essentially the square of the absolute value of the deviation, that means the variance is always positive, be the distribution normal, poisson, or other.
Why is it that only one normal distribution table is needed to find any probability under the normal curve?
Anything that is normally distributed has certain properties. One is that the bulk of scores will be near the mean and the farther from the mean you are, the less common the score. Specifically, about 68% of anything that is normally distributed falls within one standard deviation of the mean. That means that 68% of IQ scores fall between 85 and 115 (the mean being 100 and standard deviation being 15) AND 68% of adult male heights fall between 65 and 75 inches (the mean being 70 and I am estimating a standard deviation of 5). Basically, even though the means and standard deviations change, something that is normally distributed will keep these probabilities (relative to the mean and standard deviation). By standardizing these numbers (changing the mean to 0 and the standard deviation to 1) we can use one table to find the probabilities for anything that is normally distributed.
What is the probabilty that the individuals pressure will be between 120 and 121.8 if the mean pressure is 120 and the standard deviation is 5.6 with a normally distributed variable?
It is 0.37, approx.
How can you calculate z-score?
If a normally distributed random variable X has mean m and standard deviation s, then z = (X - m)/s
True or false a distribution of sample means is normally distributed with a mean equal to the population mean and standard deviation equal to the standard error of the mean?
True.
Mrssung gave a test in her trigonometry class the scores were normally distributed with a mean of 85 and a standard deviation of 3 what percent would you expect to score between 82 and 88?
67% as it's +/- one standard deviation from the mean
What is mean by -3standard deviation in bmi?
BMI varies from person to person and one measure of this variability is the standard deviation. Assuming the BMI is approximately normally distributed, only around 0.135% of the people will have results that are -3 sd or lower.
Professor Bartrich has 184 students in her mathematics class The scores on the final examination are normally distributed and have a mean of 72.3 and a standard deviation of 8.9 How many students in?
about 25
The miles per gallon for a mid-size car is normally distributed with a mean of 32 and a standard deviation of 8 what is the probability that the mpg for a selected mid-size car would be less than 33.2?
The MPG (mileage per gallon) for a mid-size car is normally distributed with a mean of 32 and a standard deviation of .8. What is the probability that the MPG for a selected mid-size car would be less than 33.2?
