Chapter 5 Review NORMAL STANDARD NORMAL DISTRIBUTIONS Find

Chapter 5 Review NORMAL & STANDARD NORMAL DISTRIBUTIONS

Find the area of the indicated region under the standard normal curve. Use the table and show your work. Find the areas to the left of the z-scores using Table 4 in the back of the book. . Subtract the two areas.

Find the indicated area under the standard normal curve. You may find the area using Table 4 or normalcdf. Sketch the standard normal curve

Find the indicated area under the standard normal curve. Use the table and show your work for credit. Sketch the standard normal curve To find the area to the right of the z-score, subtract from 1.

Find the indicated area under the standard normal curve. Use the table and show your work for credit. Sketch the standard normal curve Find the areas to the left of the two z-scores using the table. Subtract the two areas.

Find the indicated area under the standard normal curve. Use the table and show your work for credit. What is the clue word? or Which means we’re going to do what? add

Find the probability of z occurring in the indicated region. Show your work for credit. Use Table 4. The four-digit number in the table is also the probability. Find the areas to the left of both z-scores and subtract.

Find the indicated probability using the standard normal distribution. Show your work for credit. Use Table 4. The four-digit number in the table is also the probability.

Find the indicated probability using the standard normal distribution. Show your work for credit. Use Table 4. The four-digit number in the table is also the probability.

Find the indicated probability using the standard normal distribution. Sketch the curve. Find the area to the left of the z-scores and subtract. From table 4, the four-digit number represents both area and probability, so subtract the two areas.

Here we need to convert the x-value to a z-score in order to find the probability.

Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. We need to convert the two x-values to z-scores.

Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. We need to convert the other x-value to a z-score.

Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. Using Table 4, find the probabilities to the two z-scores and subtract.

Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed.

We have been given x-values, a mean, and a standard deviation. The heights are normally distributed. So in order to find the probabilities, we need z-scores. And we will need to sketch three curves. Have fun! a) Find the probability that his height is less than 60 inches. We need to find the z-score and go to Table 4.

b) Find the probability that his height is between 66 and 72 inches. We need to find two z-scores and go to Table 4. We already know one of the z-scores.

Now find the other z-score.

Subtract the two areas (probabilities).

c) Find the probability that his height is more than 72 inches

Find the z-score that corresponds to the given cumulative area. If the area is not in the table, use the entry closest to the area. Go to Table 4 and look for the area. Match it with the z-score. . 7580 can be found in the table. The z-score which matches up with. 7580 is 0. 70

Find the z-score that corresponds to the given percentile. This is the 20 th percentile, which converts to an area of. 2000 Go to Table 4 and find the area nearest to. 2000. The area nearest to. 2000 is. 2005

Find the z-score that has 11. 9% of the distribution’s area to its left.

Find the z-score that has 23. 7% of the distribution’s area to its right. This is the area to the right. We need to find the area to the left and find its zscore.

a) What height represents the 95 th percentile? We need to find the x-value. We also need to find the z-score. The 95 th percentile converts to an area of. 9500 The area in Table 4 closest to. 9500 is. 9505, which is a z-score of 1. 65 Use the following formula to find the value, x:

b) What height represents the first quartile? We need to find the x-value. We also need to find the z-score. The first quartile converts to an area of. 2500 Use the following formula to find the value, x: