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Q: What percentage of the normally distributed population lies within the plus or minus one standard deviation of the population mean?
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The percentage that is one standard deviation away from mean?

For normally distributed data. One standard deviation (1σ)Percentage within this confidence interval68.2689492% (68.3% )Percentage outside this confidence interval31.7310508% (31.7% )Ratio outside this confidence interval1 / 3.1514871 (1 / 3.15)


When the population is normally distributed population standard deviation s is unknown and the sample size is n equals 15 the confidence interval for the population mean s is based on the?

The Z test.


IQ scores are normally distributed with a mean of 100 and a standard deviation of 15 if a certain statistician has an IQ of 140 what percent of the population has an IQ less than he does?

About 98% of the population.


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.


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.


The heights of Russian men are normally distributed with a mean of 66.8 inches and a standard deviation of 2.6 inches. What percentage of Russian men are over 72 inches tall?

2.3


Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 2.5 inches what percentage of women are between 62.5 inches and 67.5 inches?

3


IQ scores are normally distributed with a mean of 100 and a standard deviation of 15 If a certain statistician has an IQ of 140 what percent of the population has an IQ less than she does?

99.6% for


Does a population have to be normally distributed in order to use the chi-square distribution?

No, but the approximation is better for normally distributed variables.


What will the sampling distribution of the mean be if a population is normally distribution?

Also normally distributed.


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.


In the population SAT-Math scores are normally distributed with a mean of 500 and standard deviation of 100?

The answer depends on what SAT tests. In the UK the mean is 100 and the SD approx 15 - the scores are truncated at 100 +/- 44.