Construct a 90% confidence interval for the population standard deviation σ for the single line Construct a 90% confidence interval for the population standard deviation σ for the individual lines. Determine whether there is a difference in variation between the two data sets. Which configuration appears to be better? A. The variation appears to be significantly lower with a single-line system. The multiple-line system appears to be better. B. The variation appears to be significantly lower with a multiple-line system. The single-line system appears to be better. C. The variation appears to be significantly lower with a multiple-line system. The multiple-line system appears to be better. D. The variation appears to be significantly lower with a single-line system. The single-line system appears to be better.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
|
Single Line
|
393
|
396
|
404
|
416
|
421
|
440
|
441
|
468
|
468
|
468
|
|
|---|---|---|---|---|---|---|---|---|---|---|---|
|
Individual Lines
|
257
|
328
|
336
|
390
|
403
|
459
|
459
|
505
|
554
|
610
|
Construct a 90% confidence interval for the population standard deviation σ for the single line
Construct a 90% confidence interval for the population standard deviation σ for the individual lines.
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