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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.


How are the mean and standard deviation affected by an outlier?

The mean is "pushed" in the direction of the outlier. The standard deviation increases.


As the sample size increases the standard deviation of the sampling distribution increases?

No.


Is it true that the larger the standard deviation the wider the confidence interval?

no


What is Confidence Intervals of Standard Error?

The standard deviation associated with a statistic and its sampling distribution.


What happen to confidence interval if increase sample size and population standard deviation simultanesous?

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.


What happens to the confidence interval as the standard deviation of a distribution decreases?

It goes up.


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)


What happens to the standard score as the standard deviation increases?

The absolute value of the standard score becomes smaller.


Does the distribution of sample means have a standard deviation that increases with the sample size?

No, it is not.


How do sample size confidence level and standard deviation affect the margin of error?

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How do you find Confidence interval to degree of freedom?

To find the confidence interval for a given degree of freedom, you first need to determine the sample mean and standard deviation. Then, using the appropriate t-distribution table (or calculator) for your specified confidence level and degrees of freedom (which is typically the sample size minus one), you can find the critical t-value. Finally, you can calculate the confidence interval using the formula: ( \text{Confidence Interval} = \text{Mean} \pm (t \times \frac{\text{Standard Deviation}}{\sqrt{n}}) ), where ( n ) is the sample size.