Consider a normal distribution with a mean value of 100 and a standard deviation of 5. Find the value of x. If the area from the mean to the z-score is 17% and the z-score is negative. * 93.4 97.8 91.6 95.6
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- Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. 95 120 The area of the shaded region is (Round to four decimal places as needed.)Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. The area of the shaded region is (Round to four decimal places as needed.) 115 Q ✓Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. The area of the shaded region is (Round to four decimal places as needed.) Standard Normal Table (Page 1) NEGATIVE z Scores Z -3.50 and lower -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .0001 .0003 .0005 ,0007 .0010 .0013 .0019 .0026 .0035 .0047 .0062 .0082 .0107 .0139 .0179 .0228 .0287 .0359 0446 0548 .0668 .0808 0968 1151 1357 .1587 1841 2119 .2420 2743 .3085 3446 3821 4207 .4602 .5000 .01 .0003 .0005 .0003 .0005 0007 .0006 .0009 .0009 .0013 .0013 .0018 .0018 .0025 0024 .0034 .0033 0045 0044 0060 .0059 .0080 .0078 0104 .0102 0136 0132 0174…
- Use a table of cumulative areas under the normal curve to 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. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. 0.053 Click to view page 1 of the table. Click to view page 2 of the table. The cumulative area corresponds to the z-score of. (Round to three decimal places as needed.) en 000 MacBook Air 2 8 DII DD B F10 F11 Next F12Find the percent of the area under the curve between the mean and -0.83 standard deviations from the mean. 29.4% 29.7% 70.3% 79.7%Use a table of cumulative areas under the normal curve to 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. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. 0.051 Click to view page 1 of the table. Click to view page 2 of the table. The cumulative area corresponds to the z-score of (Round to three decimal places as needed.)
- Answer the question. Show all the steps, not only the final answer. if possible, sketch a little diagram to clearly see the area under the normal curve. 8. A major research study concluded that the mean number of times that adolescents had engaged in vandalism during the previous 12 months was 3.5 times. We believe the true population mean to be less than this. After collecting our own sample of 36 adolescents, we find that the mean number of times they have vandalized property during a l-year period wasX̅ = 2.9 with a standard deviation equal to .7. Perform all ofthe procedures necessary for conducting a hypothesis test based on our assumption. What do you conclude? Set your alpha level at .05.Find the area of the shaded region. The graph depicts the standard normal deviation with mean 0 and standard deviation 1.A normal distribution has a mean of 85 and a standard deviation of 6. Find the z-score for a data value of 92. places Round to two decimal
- Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. 70 105 The area of the shaded region is (Round to four decimal places as needed.)Use a table of cumulative areas under the normal curve to 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. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. 0.05 Click to view page 1 of the table. Click to view page 2 of the table. The cumulative area corresponds to the z-score of (Round to three decimal places as needed.) Standard Normal Table (Page 1) Z 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0.00 -3.4 0.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 -3.3 0.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 0.0005 0.0005 - 3.2 0.0005 0.0005 0.0005 0.0006 0.0006 0.0006 0.0006 0.0006 0.0007 0.0007 - 3.1 0.0007 0.0007 0.0008 0.0008 0.0008 0.0008 0.0009 0.0009 0.0009 0.0010 -3.0 | 0.0010 0.0010 0.0011 0.0011 0.0011 0.0012 0.0012 0.0013 0.0013 0.0013 -2.9 0.0014 0.0014 0.0015…Use the standard normal table to find the z-score that corresponds to the given percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. P 25 Click to view page 1 of the table. Click to view page 2 of the table. The z-score that corresponds to P25 is (Round to two decimal places as needed.)