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# Question 4 options:A normal distribution has a mean of 5 and a standard deviation of 2. What proportion of the distribution is above 3?

Question 4 options:A normal distribution has a mean of 5 and a standard deviation of 2. What proportion of the distribution is above 3?

Click on link __Normal Distribution Area Calculator__ to calculate answer

Enter answer rounded to the nearest ten-thousandth (4 places after decimal). Examples of correctly entered responses:

0.0000 0.0076 0.1500 0.3000 0.5429 1.0000

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**Question 5**

(5 points)

Question 5 options:A normal distribution has a mean of 12 and a standard deviation of 3. What proportion of the distribution is below 7?

Click on link __Normal Distribution Area Calculator__ to calculate answer

Enter answer rounded to the nearest ten-thousandth (4 places after decimal). Examples of correctly entered responses:

0.0000 0.0076 0.1500 0.3000 0.5429 1.0000

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**Question 6**

(5 points)

Question 6 options:A normal distribution of test scores has a mean of 38 and a standard deviation of 6. Everyone scoring at or above the 80th percentile gets placed in an advanced class. What is the cutoff score to get into the class?

Click on link __Inverse Normal Distribution Area Calculator__ to calculate answer

Enter answer rounded to the nearest hundredth (2 places after decimal). Examples of correctly entered responses:

0.84 12.03 20.50 76.18 100.00

__View hint for Question 6__

**When using the "Inverse Normal Distribution Area Calculator"** you'll be asked to enter "Area". Notice on the calculator's graph that the area is shaded from the right (from 100% back). If you want "80th percentile", that means a cumulative probability of 80% which is always measured from the far LEFT of the curve. If "0.80" is measured from the far left of the curve, then (1 - 0.80) is what remains to the right of the curve. If you want to know the area that's ABOVE the 80th percentile, be sure to enter "0.20" under "Area", then select "Above" in next step and "recalculate". Raw score readout will appear.

Remember, cumulative probability is always measured from the LEFT end of the curve!

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**Question 7**

(5 points)

Question 7 options:A normal distribution has a mean of 120 and a variance of 100. 35% of the area is below what number?

Click on link __Inverse Normal Distribution Area Calculator__ to calculate answer

Enter answer rounded to the nearest hundredth (2 places after decimal). Examples of correctly entered responses:

0.84 12.03 20.50 76.18 100.00

__View hint for Question 7__

**When using the "Inverse Normal Distribution Area Calculator"** you'll be asked to enter "Area". Notice on the calculator's graph that the area is shaded from the right (from 100% back). If you want "35% below what number (raw score)", that means a cumulative probability of 35% which is always measured from the far LEFT of the curve. If "0.35" is measured from the far left of the curve, be sure to enter "0.35" under "Area", then select "Below" option in next step and "recalculate". Raw score readout will then appear.

Remember, cumulative probability is always measured from the LEFT end of the curve!

Save