Question
Asked Sep 11, 2019
21 views

Convert the following data to z scores to determine who scored above, below, and at the mean in this sample: 

18, 12, 17, 8, 23, 7, 10, 10, 12, 25, 19, 14, 14, 14, 9, 17, 21, 7, 11, 8, 8, 12, 8, 20, 16, 14, 14, 18, 5, 19, 20, 25, 14, 14, 15, 11, 19, 8, 10, 14

check_circle

Expert Answer

Step 1

The mean of the sample is obtained below:

From the given information, 40 observations of samples were given.  

The sample mean is,

help_outline

Image Transcriptionclose

Σx n 18 12 178+..14 40 560 40 14

fullscreen
Step 2

The sample standard deviation is obtained below:

help_outline

Image Transcriptionclose

Σ(x-3 S = n-1 18-14)+(12-14) +.(14-14) 40-1 =5.154

fullscreen
Step 3

The z-scores are obtained below:

...
help_outline

Image Transcriptionclose

x- (x-) 4 -2 0.776090589 -0.388045294 0.582067942 -1.164135883 1.746203825 18 12 17 3 -6 23 9 -1.358158531 -0.776090589 -0.776090589 -0.388045294 2.13424912 0.970113236 7 -7 4 10 10 -4 12 -2 25 11 5 19 14 0 C 0 14 0 14 0 -0.970113236 0.582067942 1.358158531 -1.358158531 -5 17 3 7 -7 21 -0.582067942 11 -3 -6 -6 -1.164135883 -1.164135883 -0.388045294 -1.164135883 1.164135883 0.388045294 12 -2 -6 20 6 16 2 0 14 0 14 0 0.776090589 -1.746203825 0.970113236 1.164135883 2.13424912 18 4 -9 19 20 5 6 25 11 0 14 0 14 0 0.194022647 0.582067942 0.970113236 -1.164135883 -0.776090589 10 15 1 -3 5 -6 11 19 10 -4 14 0

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Data

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: While our weight is typically displayed without decimal places (e.g., 165 lbs), it can be displayed ...

A: The variable here is the “weight” which can be best measured on a ratio a scale. The ratio scale of ...

question_answer

Q: 6) Suppose you had the following body temperature readings, all in °F: (Don't forget to answer the q...

A: As per guidelines, we are required to answer the first three subparts only. So I'll solve a,b and cB...

question_answer

Q: Please answer the whole question.  (1) Let x be the age in years of a licensed automobile driver. Le...

A: (e) The value of coefficient of determination:The given data is represented in the following table:

question_answer

Q: A. A population has a mean of 6.9 and standard deviation of 2.6. Find the value that has 80% of the ...

A: Given Population mean = 6.9Standard deviation = 2.6The Z score with the area left to it close to 0.8...

question_answer

Q: Find the mean, the median, the mode, and the midrange, the range, variance, standard deviation, 65th...

A: Hello there! According to our policies can answer one question . As there are multiple questions in ...

question_answer

Q: Which of the following data sets or plots could have a regression line with a negative slope? Select...

A: A negative sign for regression line slope indicate that the variables are negatively correlated and ...

question_answer

Q: When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at...

A: Hi there! Thank you for the question. Since you want us to use Appendix C-2 to find probabilities, w...

question_answer

Q: 3[2x − (x + 3)] = 5(x − 1)

A: The equation can be solved for the value of x as below:

question_answer

Q: Use the line of random digits given below to select the simple rando sample of 8 passengers. It is s...

A: Random number table:Random number table helps to randomly select the desired number of samples from ...