Which expressions represent the distance between 1.8 and 9.4 on the number line?

Mathematics

1 answer:

sergiy2304 [10]3 years ago

5 0

9.4 - 1.8 will tell you the distance between them

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The probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.

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Let the random variable X be defined as the height of chimneys in factories.

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According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample means is given by,

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And the standard deviation of the distribution of sample means is given by,

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Since the sample selected is quite large, i.e. n = 40 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean heights of chimneys.

$\bar X\sim N(\mu_{\bar x},\ \sigma^{2}_{\bar x})$