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Question 11 Suppose X ~ N(–3, 1). Between what x-values does 95.45% of the data lie?...

Question 11 Suppose X ~ N(–3, 1). Between what x-values does 95.45% of the data lie? The range of x-values is centered at the mean of the distribution. Select the correct answer below:

between –4.69 and -1.31

between –5 and –1

between –2 and 2

between –5 and 3

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Answer #1

According to empirical rule,

Approximately, 95% ( or 95.45%) of the data lies in 2 standard deviation of the mean.

That is

95.45% data lies between mean - 2 * sd and mean + 2 * sd

between -3 - 2 * 1 and -3 + 2 * 1

between -5 and -1

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