0
What happen to confidence interval if increase sample size and population standard deviation simultanesous?
Wiki User
∙ 10y ago
The increase in sample size will reduce the confidence interval.
The increase in standard deviation will increase the confidence interval.
The confidence interval is not based on a linear function so the overall effect will require some calculations based on the levels before and after these changes.
It would depend on the relative rates at which the change in sample size and change in standard deviation occurred. If the sample size increased more quickly than then standard deviation, in some sense, then the size of the confidence interval would decrease. Conversely, if the standard deviation increased more quickly than the sample size, in some sense, then the size of the confidence interval would increase.
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
Is sample standard deviation the same as standard deviation?
No, the standard deviation is a measure of the entire population. The sample standard deviation is an unbiased estimator of the population. It is different in notation and is written as 's' as opposed to the greek letter sigma. Mathematically the difference is a factor of n/(n-1) in the variance of the sample. As you can see the value is greater than 1 so it will increase the value you get for your sample mean. Essentially, this covers for the fact that you are unlikely to obtain the full population variation when you sample.
What happens to the confidence interval if you increase the confidence level?
The confidence interval becomes wider.
What happens to the standard score as the standard deviation increase?
The standardised score decreases.
Will increasing the frequency of scores in the tails of a distribution effect the standard deviation How or Why?
Yes. It will increase the standard deviation. You are increasing the number of events that are further away from the mean, and the standard deviation is a measure of how far away the events are from the mean.
If each score in a set of scores were increased by 6 points how would this affect the mean and the standard deviation?
This would increase the mean by 6 points but would not change the standard deviation.
If the standard deviation is doubled what will be the effect on the confidence interval?
The confidence intervals will increase. How much it will increase depends on whether the underlying probability model is additive or multiplicative.
Is sample standard deviation the same as standard deviation?
No, the standard deviation is a measure of the entire population. The sample standard deviation is an unbiased estimator of the population. It is different in notation and is written as 's' as opposed to the greek letter sigma. Mathematically the difference is a factor of n/(n-1) in the variance of the sample. As you can see the value is greater than 1 so it will increase the value you get for your sample mean. Essentially, this covers for the fact that you are unlikely to obtain the full population variation when you sample.
What happens to the confidence interval if you increase the confidence level?
The confidence interval becomes wider.
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.
What happens to the confidence interval if you increase the sample size?
The confidence interval becomes smaller.
What happens to the standard score as the standard deviation increase?
The standardised score decreases.
Will increasing the frequency of scores in the tails of a distribution effect the standard deviation How or Why?
Yes. It will increase the standard deviation. You are increasing the number of events that are further away from the mean, and the standard deviation is a measure of how far away the events are from the mean.
Is a good way to increase a confidence interval is to increase the sample size?
No, the opposite is true.
How do you produce a new confidence interval with a larger width?
Increase your percent confidence to provide an increased width.
If outliers are added to a dataset how would the variance and standard deviation change?
They would both increase.
How has increase in population caused vehicular pollution?
Increase in population = increase in demand for vehicles = increase in vehicles = increase in vehicular pollution
If each score in a set of scores were increased by 6 points how would this affect the mean and the standard deviation?
This would increase the mean by 6 points but would not change the standard deviation.
