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fiasKO [112]
3 years ago
6

Suppose a 24-acre plot of land is being

Mathematics
1 answer:
kati45 [8]3 years ago
8 0
Should be 72! 24 divided by 1/3=72
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Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard devia
PSYCHO15rus [73]

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 \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • 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:

\mu = 0, \sigma = 1.

The z-score that cuts off the bottom and top 2.5% of the distribution is z = \pm 1.96, hence:

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{X - 0}{1}

X = -1.96

Z = \frac{X - \mu}{\sigma}

1.96 = \frac{X - 0}{1}

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

#SPJ1

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2 years ago
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