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Q: Assume that women's heights are normally distributed with a mean given by mu equals 63.6 in and a standard deviation given by sigma equals 2.1 in (a) If 1 woman is randomly selected find the probabili?
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What conditions are necessary in order to use a t-test to test the differences between two population means?

The samples must be randomly selected, independent, and normally distributed. The following are necessary to use a t-test for small independent samples. 1. The samples must be randomly selected. 2. The samples must be independent. 3. Each population must have a normal distribution.


For a sample of 140 randomly selected patients the mean amount spent was 86.50 and the standard deviation was 11.45. What is a 95 percent confidence interval for the mean?

sample size, n = 140standard deviation, s = 11.45standard error of the mean, SE = s / n^1/2 = 11.45 / 140^1.2 = 0.967795% confidence interval => mean +- 1.96SE95% CI = 86.5 - 1.96*0.9677; 86.5 + 1.96*0.9677= 84.6; 88.4


How do you spell randomly?

That is the correct spelling of the word "randomly" (by chance).


What is the probability of being dealt 2 aces in a 5 card poker hand?

If dealt from a randomly shuffled pack it is 0.0399, approx.If dealt from a randomly shuffled pack it is 0.0399, approx.If dealt from a randomly shuffled pack it is 0.0399, approx.If dealt from a randomly shuffled pack it is 0.0399, approx.


Why is the standard deviation of a distribution of means smaller than the standard deviation of the population from which it was derived?

The reason the standard deviation of a distribution of means is smaller than the standard deviation of the population from which it was derived is actually quite logical. Keep in mind that standard deviation is the square root of variance. Variance is quite simply an expression of the variation among values in the population. Each of the means within the distribution of means is comprised of a sample of values taken randomly from the population. While it is possible for a random sample of multiple values to have come from one extreme or the other of the population distribution, it is unlikely. Generally, each sample will consist of some values on the lower end of the distribution, some from the higher end, and most from near the middle. In most cases, the values (both extremes and middle values) within each sample will balance out and average out to somewhere toward the middle of the population distribution. So the mean of each sample is likely to be close to the mean of the population and unlikely to be extreme in either direction. Because the majority of the means in a distribution of means will fall closer to the population mean than many of the individual values in the population, there is less variation among the distribution of means than among individual values in the population from which it was derived. Because there is less variation, the variance is lower, and thus, the square root of the variance - the standard deviation of the distribution of means - is less than the standard deviation of the population from which it was derived.

Related questions

The average amount customers at a certain grocery store spend yearly is 636.55 Assume the variable is normally distributed If the standard deviation is 89.46 find the probability that a randomly?

.820=82.0%


What is the probability that a randomly selected case from a normally distributed distribution will have a score between -1.00 and the mean?

The answer is 0.1586


How are spots distributed on the back of your hand?

randomly


Galaxies are not distributed randomly but are grouped in?

çlusters


Are normally distributed with a mean of 68 inches and a standard deviation of 2 inches What is the probability that the height of a randomly selected female college basketball player is more than 66?

84% To solve this problem, you must first realize that 66 inches is one standard deviation below the mean. The empirical rule states that 34% will be between the mean and 1 standard deviation below the mean. We are looking for the prob. of the height being greater than 66 inches, which is then 50% (for the entire right side of the distribution) + 34%


What is the probability that the value of a randomly selected variable from a normal distribution will be more than 3 standard deviation from its mean value?

Approx 0.0027


What conditions are necessary in order to use a test to test the differences between two population means?

The samples must be randomly selected, independent, and normally distributed. The following are necessary to use a t-test for small independent samples. 1. The samples must be randomly selected. 2. The samples must be independent. 3. Each population must have a normal distribution.


When grass is randomly distributed throughout an environment a population of deer that eats grass is most likely to have a?

Random Pattern.


According to the plum pudding model electrons are distributed randomly thoughtout the positively charge pudding of the atom?

Atom


What conditions are necessary in order to use a t-test to test the differences between two population means?

The samples must be randomly selected, independent, and normally distributed. The following are necessary to use a t-test for small independent samples. 1. The samples must be randomly selected. 2. The samples must be independent. 3. Each population must have a normal distribution.


Where are the seeds in a grapefruit?

They are randomly distributed through the interior of the fruit. If you should happen to swallow one, don't worry, they are harmless.


When grass is randomly distributed throughout an environment a population of deer that eats grass is most likely to have a what pattern?

Random Pattern.