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What happens to the confidence interval as the standard deviation of a distribution decreases?
It goes up.
What happens to the standard score as the standard deviation increases?
The absolute value of the standard score becomes smaller.
What happens if a value falls below the mean 2 standard deviation when the probability to belong to the distribution is lower than 0.05?
Nothing actually happens! You just get a value that is very unlikely but still possible. That it is possible is evidenced by the fact that the value was observed.
What happens to the standard deviation as the sample size increases?
As the sample size increases, the standard deviation of the sample mean, also known as the standard error, tends to decrease. This is because larger samples provide more accurate estimates of the population mean, leading to less variability in sample means. However, the standard deviation of the population itself remains unchanged regardless of sample size. Ultimately, a larger sample size results in more reliable statistical inferences.
What happens to mean when any score in a distribution is changed?
If there are n scores and one score is changed by x then the mean changes by x/n.
What happens to the confidence interval as the standard deviation of a distribution decreases?
It goes up.
What happens to the confidence interval as the standard deviation of a distribution increases?
The standard deviation is used in the numerator of the margin of error calculation. As the standard deviation increases, the margin of error increases; therefore the confidence interval width increases. So, the confidence interval gets wider.
What happens to the standard score as the standard deviation increase?
The standardised score decreases.
What happens if you estimate population standard deviation with the sample standard deviation?
Not a lot. After all, the sample sd is an estimate for the population sd.
What happens to the standard score as the standard deviation increases?
The absolute value of the standard score becomes smaller.
What happens if a value falls below the mean 2 standard deviation when the probability to belong to the distribution is lower than 0.05?
Nothing actually happens! You just get a value that is very unlikely but still possible. That it is possible is evidenced by the fact that the value was observed.
As standard deviation increases what happens to the sample size in order to achieve a specified level of confidence?
decreases
What happens to the shape of the chi-square distribution as the df value increases?
As the value of k, the degrees of freedom increases, the (chisq - k)/sqrt(2k) approaches the standard normal distribution.
What is the mean of a normal distribution?
It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.
What happens to mean when any score in a distribution is changed?
If there are n scores and one score is changed by x then the mean changes by x/n.
What happens if the mean of absolute deviation is a small number than the mean?
Nothing happens. There is no particular significance in that happening.
What happens to the sample size if you increase the standard deviation?
The statistics of the population aren't supposed to depend on the sample size. If they do, that just means that at least one of the samples doesn't accurately represent the population. Maybe both.
