Xbar = 50
Standard deviation (s) = 6
Xbar - 3s = 50 - 3*6 = 32
Xbar - 2s = 50 - 2*6 = 38
Xbar - s = 50 - 6 = 44
Xbar = 50
Xbar + s = 50 + 6 = 56
Xbar + 2s = 50 + 2*6 = 62
Xbar + 3s = 50 + 3*6 = 68
-99.7% of data are within 3 standard deviations of the mean (* - 35 to ++...
Practice Problem As before, a similar study looked at the number of babies in an inner-city hospital in a different city who were born addicted to cocaine. It was found that the distribution of babies born each month who were addicted to cocaine was bell-shaped. This distribution has a mean of 50 babies and a standard deviation of 4. Fill in the label marks for the base of the normal curve as demonstrated above. Ī – 3s [three SDs below]...
data valu es in a 7. The 68-95-99.7 rule for normal distributions states that 95% of the mally distributed data set will be within 2 standard deviations of the mear Generate numbers with a distribution that has fewer than 95% of the data values within 2 standard deviations of the mean. Can you generate a set that has many fewer than 95% of the data values within 2 standard deviations of the mean? How small can you make that percentage?...
Step 2 Since 29 is two standard deviations to the left of μ and 41 is two standard deviations to the right on, we need to find the area under the normal curve from μ- ơ) to +20 Area Under a Normal Curve 2.35%/ 13.5% | 34% | 34% | 13,5% 2.35% 68% 95% 99.7% X % of the area under the curve falls between these values. Therefore, days. In other words, we expect 1 X % of the 10,000...
(a) Place the flags one standard deviation on either sid of the mean. What is the area between these two values What does the 68-95-99.7 rule say this area is? (b) Repeat for locations two and three standard deviations on either side of the mean. Again compare t 68-95-99.7 rule with the area given by the applet. 1.118 Find some proportions. Using either Table A or your calculator or software, find the proportion of observations from a standard Normal distribution...
2. Suppose we have a Normal distribution with mean 35 and standard deviation 4. Take a few a. minutes to draw this curve very neatly and accurately. Reference the document "How to Draw a Normal Curve" in this assessment. Use a separate sheet of paper, or add extra space here, and use a straightedge to draw an axis. b. Label your curve from part a with the 68-95-99.7 Rule. c. If we randomly select a value from this Normal model...
0.In a normal distribution, plus and minus 2 standard deviations from the mean will include about what percent of the observations? A) 50% B) 99.7% C) 95% D)68% 21. What is the area under the normal curve between z -0.0 and z-2.0 A) 1.0000 B) 0.7408 C) 0.1359 D) 0.4770 22. Which of the following is NOT a characteristic of the normal probability distribution? A) Positively-skewed B) Bell-shaped C) Symmetrical D) Mean Mode and median are all equal 23. A...
10.1 A. Calculate the mean and standard deviation of the following securities’ returns: Year Computroids Inc. Blazers Inc. 1 10% 5% 2 5% 6% 3 –3% 7% 4 12% 8% 5 10% 9% B. Assuming these observations are drawn from a normally distributed probability space, we know that about 68% of values drawn from a normal distribution are within one standard deviation away from the mean or expected return; about 95% of the values are within two standard deviations; and...
QUESTION 7 What proportion of the data from a normal distribution is within two standard deviations from the mean? A. 0.4772 B. 0.9544 C. 0.3413 D. 0.6826 QUESTION 8 The total area under the curve f(x) of any continuous random variable x is equal to one. True False QUESTION 9 Determine the value of zo which satisfies P(z > z0) = 0.7995.
24. About what percent of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution? (Enter an exact number as an integer, fraction, or decimal.) _______ % 25. About what percent of x values lie between the mean and one standard deviation (one sided)? (Enter an exact number as an integer, fraction, or decimal.) _______ % 26. About what percent of x values lie between the first and third standard deviations (both sides)?...
Female: Mean: 592 Std. dev.: 94 Male: Mean:628 Std. dev.:89 Calculate the interval corresponding to one, two, and three standard deviations. Type your work showing how you obtained these intervals. Keep the endpoints of the final intervals as whole numbers and clearly label and list these three intervals in your document as shown below: 68% interval (lower value, upper value) 95% interval (lower value, upper value) 99.7% interval (lower value, upper value)