6.
Find the z-score related to the raw score, mean, and standard deviation as follows. Assume a normal probability distribution.
Raw Score50, 45, and 4.ìó===
7.
What is the Z score of a raw score 1.6 standard deviations below the mean? (See Page 540),
8.
What percent of heights of adult males in the normally distributed general population
have z-scores between -1 and +1? (See Page 542),
9.
An experiment has three possible outcomes: A, B, and C. If ()()PAPB=and what is the probability of each event? (review question) ()2()PCPA=
10.
If 1()3PB= compute (review question) (not )PB
Figure-1 Figure-2
11.
Use Figure-1 above to find the measure of angle P if m(arc S) = 40o
12.
Use Figure-1 above to find the measure of m(arc S) if the angle P is 30o
13.
Use Figure-2 above to find the measure of angle P if m(arc S) = 30o and m(arc r) = 20o
14.
Use Figure-2 above to find the measure of m(arc S) if the angle P is 30o if m(arc r) = 22o
15.
Use Figure-2 above to find the measure of m(arc r) if the angle P is 30o if m(arc S) =35o
we can't possibly answer questions out of a book we don't have, and to figures we can't see.
zscore= (score-mean)/standard deviation
zscore= (50-45)/4.16= you do the math.
6. To find the z-score related to the raw score, mean, and standard deviation, you can use the formula:
z = (raw score - mean) / standard deviation
Assuming you have provided the data for multiple raw scores, means, and standard deviations, please specify which specific values you would like to calculate the z-score for.
7. To find the z-score of a raw score that is 1.6 standard deviations below the mean, you can use the formula mentioned in the previous answer:
z = (raw score - mean) / standard deviation
In this case, the z-score would be calculated as:
z = (raw score - mean) / standard deviation
z = (mean - 1.6 * standard deviation - mean) / standard deviation
z = -1.6
So, the z-score would be -1.6.
8. To calculate the percentage of heights of adult males in the normally distributed general population with z-scores between -1 and +1, you can refer to a standard normal distribution table or use a statistical software. This range of z-scores represents the area under the normal curve between -1 and +1. Typically, this value is approximately 68% according to the empirical rule.
9. The information provided is not sufficient to calculate the probability. Please provide the missing values in the statement of the problem.
10. The information provided is not sufficient to calculate the probability. Please provide the missing values in the statement of the problem.
11. Without Figure-1 provided, it is not possible to answer this question. Please provide the diagram or describe the relevant angles and arcs.
12. Without Figure-1 provided, it is not possible to answer this question. Please provide the diagram or describe the relevant angles and arcs.
13. Without Figure-2 provided, it is not possible to answer this question. Please provide the diagram or describe the relevant angles and arcs.
14. Without Figure-2 provided, it is not possible to answer this question. Please provide the diagram or describe the relevant angles and arcs.
15. Without Figure-2 provided, it is not possible to answer this question. Please provide the diagram or describe the relevant angles and arcs.
6. To find the z-score related to a raw score, mean, and standard deviation, you can use the formula:
z = (raw score - mean) / standard deviation
In this case, the raw score is 50, the mean is 45, and the standard deviation is 4. Plugging these values into the formula, we get:
z = (50 - 45) / 4 = 1.25
Therefore, the z-score related to the given raw score, mean, and standard deviation is 1.25.
7. To find the z-score of a raw score that is a certain number of standard deviations below the mean, you can multiply the number of standard deviations by -1 and then find the z-score using the formula mentioned in question 6.
In this case, the raw score is 1.6 standard deviations below the mean. Let's assume the mean is M and the standard deviation is SD. The formula becomes:
z = (raw score - mean) / standard deviation
Substituting the given values, we get:
z = (M - 1.6SD - M) / SD = -1.6
Therefore, the z-score of a raw score 1.6 standard deviations below the mean is -1.6.
8. To find the percentage of values within a certain range of z-scores, you can use a standard normal distribution table or a calculator with a cumulative probability function. These tools provide the proportion of values falling below a certain z-score.
In this case, we want to find the percentage of heights of adult males with z-scores between -1 and +1. From a standard normal distribution table or calculator, we find that the proportion of values below a z-score of -1 is approximately 0.1587, and the proportion below a z-score of +1 is approximately 0.8413.
To find the percentage between -1 and +1, we subtract the smaller proportion from the larger one:
0.8413 - 0.1587 = 0.6826
Therefore, approximately 68.26% of heights of adult males in the normally distributed general population have z-scores between -1 and +1.
9. The probability of each event can be determined using the given equation:
P(A and B) = P(A) * P(B)
In this equation, P(A) and P(B) represent the probabilities of events A and B, respectively, while P(A and B) represents the probability of both events happening together.
Given that P(A) = 2P(C) and P(B) = P(A), we can plug in the values and solve the equation:
P(A and B) = (2P(C)) * (P(A))
Since P(A) is the same as P(B), we can rewrite the equation as:
P(A and B) = 2P(C) * P(B)
10. If 1(PB) = 3, to compute the probability (not P(B)), you subtract the given value from 1:
P(not B) = 1 - P(B)
Substituting the value, we get:
P(not B) = 1 - 3 = -2
However, probabilities cannot be negative. Make sure to check if there are any errors in the question or if the given value is incorrect.
11. Without specific figures for Figure-1, it is not possible to provide a measure for angle P or m(arc S) based on the given information. Please provide the necessary values or refer to the actual figure to proceed with the calculation.
12. Without specific figures for Figure-1, it is not possible to determine the measure of m(arc S) based on the given information. Please provide the necessary values or refer to the actual figure to proceed with the calculation.
13. Similar to questions 11 and 12, without specific figures for Figure-2, it is not possible to provide a measure for angle P or m(arc S) based on the given information. Please provide the necessary values or refer to the actual figure to proceed with the calculation.
14. Without specific figures for Figure-2, it is not possible to determine the measure of m(arc S) based on the given information. Please provide the necessary values or refer to the actual figure to proceed with the calculation.
15. Without specific figures for Figure-2, it is not possible to determine the measure of m(arc r) based on the given information. Please provide the necessary values or refer to the actual figure to proceed with the calculation.