Question

In: Statistics and Probability

10. In a recent study on world​ happiness, participants were asked to evaluate their current lives...

10. In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally​distributed, with a mean of 5.8 and a standard deviation of 2.3.

A. The probability that a randomly selected study​ participant's response was less than 4 is __.

B.The probability that a randomly selected study​ participant's response was between 4 and 6 is __.

C. The probability that a randomly selected study​ participant's response was more than 8 is __.

​D.  Identify any unusual events. Explain your reasoning. Choose the correct answer below.

A.The event in part left parenthesis a right parenthesis(a) is unusual because its probability is less than 0.05.

B.The events in parts left parenthesis a right parenthesis and left parenthesis c right parenthesis(a) and (c) are unusual because their probabilities are less than 0.05.

C. There are no unusual events because all the probabilities are greaterThere are no unusual events because all the probabilities are greater than 0.05.

D. The events in parts left parenthesis a right parenthesis comma left parenthesis b right parenthesis comma and left parenthesis c right parenthesis are unusual because all of their probabilities areThe events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05.

11. Use the standard normal table to find the​ z-score that corresponds to the cumulative area 0.6312. 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.

z=__.

12. 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.

P15

The​ z-score that corresponds to P15 is __.

Solutions

Expert Solution


Related Solutions

In a recent study on world​ happiness, participants were asked to evaluate their current lives on...
In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.9 with a standard deviation of 2.2. ​(a) What response represents the 92nd ​percentile? ​(b) What response represents the 60th ​percentile? ​(c) What response represents the first ​quartile?..
In a recent study on world happiness, participants were asked to evaluate their current lives on...
In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.4 and a standard deviation of 2.2. Find the probability that a randomly selected study participant’s response was c. between 3 and 7.
In a recent study on world​ happiness, participants were asked to evaluate their current lives on...
In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally​ distributed, with a mean of 4.5 and a standard deviation of 2.4. Answer parts ​(a)dash​(d) below. ​(a) Find the probability that a randomly selected study​ participant's response was less than 4. (b) Find the probability that a​ participant's response was...
In a recent study on world​ happiness, participants were asked to evaluate their current lives on...
In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.2 with a standard deviation of 2.6. ​(a) What response represents the 94th ​percentile? ​(b) What response represents the 61st ​percentile? ​(c) What response represents the first ​quartile?
In a recent study on world​ happiness, participants were asked to evaluate their current lives on...
In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.5 with a standard deviation of 2.2. ​(a) What response represents the 94th ​percentile? ​(b) What response represents the 59th ​percentile? ​(c) What response represents the first ​quartile?
In a recent study on world​ happiness, participants were asked to evaluate their current lives on...
In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.8 with a standard deviation of 2.3. ​(a) What response represents the 91st ​percentile? ​ (b) What response represents the 65th ​percentile? ​(c) What response represents the first ​quartile?
World Happiness In a recent study on world happiness, participants were asked to evaluate their current...
World Happiness In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.4 and a standard deviation of 2.2. Find the probability that a randomly selected study participant’s response was (a) less than 4, (b) between 4 and 6, and (c) more than 8. Identify...
In a recent poll on world sadness, participants were asked to rate how sad they were...
In a recent poll on world sadness, participants were asked to rate how sad they were on a scale of 0 to 10, with 0 being completely unhappy and 10 being incredibly unhappy. The standard deviation of responses was 1.9 and the mean response was 6.3. What response would be the 90th percentile, rounded to one decimal place? What response would be in the third quartile, rounded to one decimal place? Please show your work! Any help is appreciated!
Study the current World Happiness index and discuss if there is any correction between GDP per...
Study the current World Happiness index and discuss if there is any correction between GDP per capita & happiness.
1. Your study found that 72% of participants in your study were happy. If you were...
1. Your study found that 72% of participants in your study were happy. If you were to interview 20 people, what is the probability that 14 are happy? [4 marks] 2. Your study found that annual income is normally distributed with a mean of 1600 hours and standard deviation of 250 hours. What is the probability that a participant will work at least 1400 hours in a year? [4 marks]
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT