he corrosion loss (in mm) was measured for eight specimens of a certain steel alloy that had been immersed in brine. The measurements were 0.3457,0.3755 , 0.3563, 0.3663, 0.3861,0.4007, 0.3429, 3769 . a. Make a dotplot of the eight values. b. Should the Student’s ? distribution be used to find a 99% confidence interval for the mean corrosion loss? If so, find the confidence interval. If not, explain why not. c. Eight independent measurements are taken of the corrosion loss for a different alloy. The measurements this time are: 0.3633, 0.4215 , 0.3429, 0.3501, 0.4974, 0.3678, 0.3896, and 0.3791. Make a dotplot of these values.
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.
The corrosion loss (in mm) was measured for eight specimens of a certain steel alloy
that had been immersed in brine. The measurements were
0.3457,0.3755 , 0.3563, 0.3663, 0.3861,0.4007, 0.3429, 3769 .
a. Make a dotplot of the eight values.
b. Should the Student’s ? distribution be used to find a 99% confidence interval for the mean
corrosion loss? If so, find the confidence interval. If not, explain why not.
c. Eight independent measurements are taken of the corrosion loss for a different alloy. The
measurements this time are: 0.3633, 0.4215 , 0.3429, 0.3501, 0.4974, 0.3678, 0.3896,
and 0.3791. Make a dotplot of these values.
d. Should the Student’s ? distribution be used to find a 95% confidence interval for the mean
corrosion loss for this alloy? If so, find the confidence interval. If not, explain why not
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