Question

A distribution of measurements is relatively mound-shaped with mean 40 and standard deviation 10.


A distribution of measurements is relatively mound-shaped with mean 40 and standard deviation 10. 


(a) What approximate proportion of the measurements will fall between 30 and 50? (Enter your answer to two decimal places.) 

(b) What approximate proportion of the measurements will fall between 20 and 60? (Enter your answer to two decimal places.) 

(c) What approximate proportion of the measurements will fall between 20 and 50? (Enter your answer to three decimal places) 

(d) What approximate proportion of the measurements will be greater than 50? (Enter your answer to two decimal places.) 

1 0
Add a comment Improve this question Transcribed image text
✔ Recommended Answer
Answer #1

(c) To find, P( 20 < X < 50 )

Corresponding z values

For X = 20, Z = ( 20 - 40)/10 = -2

For X = 50, Z = (50 - 40)/10 = 1

Thus, P(20 < X < 50) = P(-2 < Z < 1) = 0.819

(d) P( X > 50 )

Corresponding Z = 1

Thus, required proportion = P(Z > 1) = 0.16

Add a comment
Know the answer?
Add Answer to:
A distribution of measurements is relatively mound-shaped with mean 40 and standard deviation 10.
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
  • 1. A distribution of measurements is relatively mound-shaped with a mean of 60 and a standard...

    1. A distribution of measurements is relatively mound-shaped with a mean of 60 and a standard deviation of 11. Use this information to find the proportion of measurements in the given interval. between 49 and 71 2. A distribution of measurements is relatively mound-shaped with a mean of 80 and a standard deviation of 12. Use this information to find the proportion of measurements in the given interval. greater than 92 3. A distribution of measurements has a mean of...

  • Question 4 (10 points): A distribution of measurements is relatively mound-shaped with mean 45 and standard...

    Question 4 (10 points): A distribution of measurements is relatively mound-shaped with mean 45 and standard deviation 15 (a) What proportion of the measurements will fall between 30 and 60? (b) What proportion of the measurements will fall between 15 and 75? (c What proportion of the measurements w fall between 30 and 75? (d) If a measurement is chosen at random from this distribution, what is the probability that it will be greater than 60?

  • please show your calculations A dlstrlbutlon of measurements Is relatlvely mound-shaped with mean 70 and standard...

    please show your calculations A dlstrlbutlon of measurements Is relatlvely mound-shaped with mean 70 and standard devlation 5. (a) What approximate proportion of the measurements will fall between 65 and 75? (Enter your answer to two decimal places.) (b) What approximate proportion of the measurements will fall between 60 and 80? (Enter your answer to two decimal places.) (c) What approximate proportion of the measurements will fall between 60 and 75? (Enter your answer to three decimal places.) (d) What...

  • A distribution of measurements is relatively mound-shaped with a mean of 80 and a standard deviation...

    A distribution of measurements is relatively mound-shaped with a mean of 80 and a standard deviation of 14. Use this information to find the proportion of measurements in the given interval. Greater than 94

  • 3. Consider the following. n = 5 measurements: 3, 3, 1, 2, 5 Calculate the sample variance, s2, using the definition formula.

    3. Consider the following. n = 5 measurements: 3, 3, 1, 2, 5 Calculate the sample variance, s2, using the definition formula. Calculate the sample variance, s2 using the computing formula. Calculate the sample standard deviation, s. (Round your answer to three decimal places.)4. A distribution of measurements is relatively mound-shaped with a mean of 60 and a standard deviation of 13. Use this information to find the proportion of measurements in the given interval. between 47 and 73 5. A distribution of...

  • 12. Suppose that the mean of a sample of mound-shaped data is 40 and the standard...

    12. Suppose that the mean of a sample of mound-shaped data is 40 and the standard deviation is 4. (4) a. Use the Empirical rule to state the probability that the data is one, two, and three standard deviations from the mean and state the intervals for each of these. (4) b. Use the Tchebysheff’s theorem to state the probability that the data is 1, 1.5, 2, and 3 standard deviations from the mean and state the intervals for each...

  • (20) 12. Suppose that the mean of a sample of mound-shaped data is 40 and the...

    (20) 12. Suppose that the mean of a sample of mound-shaped data is 40 and the standard deviation is 4. (4) a. What would the x value of the sample be if it was 1.5 standard deviations above the mean? (4) b. What is the z value if the data point was 50? (2) c. Using the Empirical rule, what is the probabilty that the data is between 36 and 48? Explain how you made this calculation (2) d. Using...

  • Data are drawn from a bell-shaped distribution with a mean of 95 and a standard deviation...

    Data are drawn from a bell-shaped distribution with a mean of 95 and a standard deviation of 6. a. Approximately what percentage of the observations fall between 83 and 107? (Round your answer to the nearest whole percent.) b. Approximately what percentage of the observations fall between 77 and 113? (Round your answer to the nearest whole percent.) c. Approximately what percentage of the observations are less than 83? (Round your answer to 1 decimal place.)

  • Data are drawn from a bell-shaped distribution with a mean of 80 and a standard deviation...

    Data are drawn from a bell-shaped distribution with a mean of 80 and a standard deviation of 4 a. Approximately what percentage of the observations fall between 72 and 88? (Round your answer to the nearest whole percent.) Percentage of observations b. Approximately what percentage of the observations fall between 68 and 92? (Round your answer to the nearest whole percent.) Percentage of observations c. Approximately what percentage of the observations are less than 76? (Round your answer to 1...

  • The average first serve of a certain tennis player follows a symmetrical, mound-shaped distribution with a...

    The average first serve of a certain tennis player follows a symmetrical, mound-shaped distribution with a mean of 122 and a standard deviation of 6.2 (miles per hour). Based on this information, approximately 95% of the first serves will fall between 115.8 and 128.2. True False

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT