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Using the normal distribution, it is found that the two readings that are cutoff values separating the rejected thermometers from the others are -1.96ºC and 1.96ºC.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
.
The z-score that cuts off the bottom and top 2.5% of the distribution is , hence:
X = -1.96
X = 1.96
The two readings that are cutoff values separating the rejected thermometers from the others are -1.96ºC and 1.96ºC.
More can be learned about the normal distribution at brainly.com/question/27879230
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