1. Using the unit normal table, find the proportion under the standard normal curve that lies to the right of each of the following z-scores (hint: Appendix C is helpful): a. z=1.25 b. z=-1.05 C....


These questions are kind of confusing for me to understand bu,t it would be helpful if you guys explain the process so ill be able to understand the whole point of it.


1. Using the unit normal table, find the proportion under the standard normal curve that lies to<br>the right of each of the following z-scores (hint: Appendix C is helpful):<br>a. z=1.25<br>b. z=-1.05<br>C. Z=-2.95<br>d. z=1.95<br>e. z= -.15<br>2. Interpret your answer to number 1c. If a river had an average water speed that resulted in a<br>z-score of -2.95, what does the proportion you find (the proportion of the standard normal<br>curve that lies to the right of that score) tell you? (1 sentence to explain).<br>3. A sample of points scored by starters in the WNBA is normally distributed with a mean of 18<br>and a variance equal to 20.<br>a. What percentages of points scored is between 16 and 20?<br>b. What is the cutoff point for the top 10% of points scores?<br>c. What proportion of points scored below 12?<br>d. What is the probability of points scored more than 28?<br>4. Interpret your answer to number 3c. Think about the normal distribution, standard<br>deviations, etc., what would you say about a player to a potential new team who scores 12<br>points or below per game? (1 sentence to explain).<br>5. Approximately 10% of people in the U.S. earn an income of $200,000 per year or higher. If<br>income were normally distributed, and the mean income is $40,000 per year, what is the<br>standard deviation of income in the U.S.? (Note. these figures are not accurate.)<br>

Extracted text: 1. Using the unit normal table, find the proportion under the standard normal curve that lies to the right of each of the following z-scores (hint: Appendix C is helpful): a. z=1.25 b. z=-1.05 C. Z=-2.95 d. z=1.95 e. z= -.15 2. Interpret your answer to number 1c. If a river had an average water speed that resulted in a z-score of -2.95, what does the proportion you find (the proportion of the standard normal curve that lies to the right of that score) tell you? (1 sentence to explain). 3. A sample of points scored by starters in the WNBA is normally distributed with a mean of 18 and a variance equal to 20. a. What percentages of points scored is between 16 and 20? b. What is the cutoff point for the top 10% of points scores? c. What proportion of points scored below 12? d. What is the probability of points scored more than 28? 4. Interpret your answer to number 3c. Think about the normal distribution, standard deviations, etc., what would you say about a player to a potential new team who scores 12 points or below per game? (1 sentence to explain). 5. Approximately 10% of people in the U.S. earn an income of $200,000 per year or higher. If income were normally distributed, and the mean income is $40,000 per year, what is the standard deviation of income in the U.S.? (Note. these figures are not accurate.)
6. You and your friend each get graded by judges on a long figure skating program. You each get<br>randomly assigned to a different group of judges (group A or group B). You get Group A and<br>score a 8.4 out of 10 possible points. Your friend gets Group B and scores 9.2 out of 10 possible<br>points. The judges scores are normally distributed with the following means and standard<br>deviations<br>Group A: mean=6.2, s.d.=1.4<br>Group B: mean =7.4, s.d.=2.8<br>Give a more complete explanation of how you each did compared to each other based on what<br>you learned in Chapter 6 beyond just each of your scores. (2-3 sentences with numerical<br>evidence included).<br>

Extracted text: 6. You and your friend each get graded by judges on a long figure skating program. You each get randomly assigned to a different group of judges (group A or group B). You get Group A and score a 8.4 out of 10 possible points. Your friend gets Group B and scores 9.2 out of 10 possible points. The judges scores are normally distributed with the following means and standard deviations Group A: mean=6.2, s.d.=1.4 Group B: mean =7.4, s.d.=2.8 Give a more complete explanation of how you each did compared to each other based on what you learned in Chapter 6 beyond just each of your scores. (2-3 sentences with numerical evidence included).
Jun 09, 2022
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