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The average temperature this time of year is 67o with a standard deviation of 5o. What...

The average temperature this time of year is 67o with a standard deviation of 5o.

  1. What is the corresponding z-score for a temperature of 63o?

  2. Is 63o within the typical range for this time of year?

    (ie., is it within 1 SD from the Mean?)

  3. What if the temperature was 78o tomorrow? Is this temperature still within the normal range for the year (within 95%)? Why/Why not?

Math   Statistics-And-Probability   
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Answer #1

The average temperature this time of year is = 67o with a standard deviation of = 5o.

What is the corresponding z-score for a temperature of x = 63o?

Is 63o within the typical range for this time of year?

As we can see that -1 < z-score < 1 63o is within the typical range for this time of year.

(ie., is it within 1 SD from the Mean?)

What if the temperature was x = 78o tomorrow? Is this temperature still within the normal range for the year (within 95%)? Why/Why not?

z-score =

Since this is not within 1 SD of the mean, we can that this temp is not within the normal range.

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