Question

We find a sample of people and we weigh each person. The distribution of their weights...

We find a sample of people and we weigh each person. The distribution of their weights is positively skewed with a mean of 157 and a standard deviation of 47. If this distribution is transformed into z-scores, what will be the resulting shape, mean, and standard deviation of the new distribution?

For a population with µ = 75 and σ = 10 find the z-score corresponding to the following raw scores X = 70 X = 77 X = 75

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

The distribution of their weights is positively skewed with a mean of 157 and a standard deviation of 47.

If this distribution is transformed into z-score, then shape of the new distribution is bell shape.

Mean = 0

Standard deviation = 1

( By using central limit theorem)

For a population with µ = 75 and σ = 10

We have to find z score.

1 -

x = 70

70-75 10 = = -0.5

x = 77

77-75 10 - = 0.2

x = 75

75-75 10 - = 0

Add a comment
Know the answer?
Add Answer to:
We find a sample of people and we weigh each person. The distribution of their weights...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Suppose that we will randomly select a sample of 72 measurements from a population having a...

    Suppose that we will randomly select a sample of 72 measurements from a population having a mean equal to 18 and a standard deviation equal to 9. (a) Describe the shape of the sampling distribution of the sample mean. Do we need to make any assumptions about the shape of the population? Why or why not? (b) Find the mean and the standard deviation of the sampling distribution of the sample mean. (Round your σx⎯⎯ answer to 1 decimal place.)...

  • Suppose that we will randomly select a sample of 109 measurements from a population having a...

    Suppose that we will randomly select a sample of 109 measurements from a population having a mean equal to 21 and a standard deviation equal to 8. (a) Describe the shape of the sampling distribution of the sample mean . Do we need to make any assumptions about the shape of the population? Why or why not? (b) Find the mean and the standard deviation of the sampling distribution of the sample mean . (Round your σx¯σx¯ answer to 1...

  • - What proportion of a normal distribution is located between each of the following Z-score boundaries?...

    What proportion of a normal distribution is located between each of the following Z-score boundaries? a. z= -0.50 and z= +0.50 b. z=-0.90 and z= +0.90 c. z=-1.50 and z= 1.50 For a normal distribution with a mean of μ = 80 and a standard deviation of σ= 20, find the proportion of the population corresponding to each of the following. a. Scores greater than 85. b. Scores less than 100. c. Scores between 70 and 90. IQ test scores are standardized to produce a normal distribution with...

  • Normal Distribution Problems

    Example 1. Assume that the random variable X follows the Normal distribution with mean 75 and standard deviation 10. Use Python to(a) Compute P(65 < X < 85) and interpret the findings(b) Compute P(55 < X < 95) and interpret the findings(c) Compute P(X > 100) and interpret the findingsExample 2. Assume that the random variable X follows the Normal distribution with mean µ and standard deviation σ. Compute (a) P(µ − σ < X < µ + σ) (b) P(µ −...

  • QUESTION 1 The normal curve is particularly useful as a model for a. data in which...

    QUESTION 1 The normal curve is particularly useful as a model for a. data in which mean and median differ b. many populations of psychological and educational data c. distributions of sample statistics d. both (b) and (c) above QUESTION 2 A distribution has a mean of 60 and a standard deviation of 8. For a score of 72, the equivalent z score a. is +1.5 b. is between 0 and +1.0 c. is + 1.2 d. cannot be determined...

  • For a normal distribution of raw scores with µ= 75, σ = 8, answer the following.  ...

    For a normal distribution of raw scores with µ= 75, σ = 8, answer the following.   What is the probability of p(71 < X < 83) ?     __________ Find the percentile ranking for the raw score   X = 65th   ______ percentile

  • Suppose there is a raw. NOT standardized distribution of IQ scores with a mean of μ-116...

    Suppose there is a raw. NOT standardized distribution of IQ scores with a mean of μ-116 and a standard deviation of σ-16. Suppose your raw IQ score in this distribution is X-148. What is your z-score in this distribution? O +2.00 0-1.50 O -2.00 О +1.50

  • #3 One of the most common ways of measuring intelligence is the IQ test. IQ scores...

    #3 One of the most common ways of measuring intelligence is the IQ test. IQ scores in the US population have an average of µ = 100 and a standard deviation of σ = 15. Suppose a researcher wanted to test whether socioeconomic status (SES) has an effect on IQ scores. The researcher takes a random sample of n = 100 people, selected from a list of the 1000 richest people in the United States. a. Based on this information,...

  • 1. The distribution of heights of adult females: We assume that height is normally distributed with...

    1. The distribution of heights of adult females: We assume that height is normally distributed with a population mean of 65 inches and a population standard deviation of 4 inches. 2. The distribution of heights of adult males: We assume that height is normally distributed with a population mean of 70 inches and a population standard deviation of 5 inches. a. Above what Z-score value does 2.5% of the normal distribution fall? Using the formula for Z-scores and the Z-score...

  • 2. Assume that weights of newborn children are normally distributed with a mean (µ) of 116...

    2. Assume that weights of newborn children are normally distributed with a mean (µ) of 116 ounces and a standard deviation (σ) of 12 ounces. Find the upper and lower limits that separate the top 5% and the bottom 5%. please show how z score and standard deviation is found.

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