Determining Proportions Under the Standard Normal Curve
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Order ID 53563633773 Type Essay Writer Level Masters Style APA Sources/References 4 Perfect Number of Pages to Order 5-10 Pages Description/Paper Instructions
Determining Proportions Under the Standard Normal Curve
Identify whether each research scenario listed in the left column of the top of the matrix, would be a one- or two-tailed test and then justify your decision. For each research scenario in the bottom of the matrix, write what the null and alternative hypotheses would be.
Research Scenario One-tail or two-tail test Justification A local dermatologist claims that 30% of mole biopsies are unnecessary. Last month at his clinic, 210 out of 634 had benign biopsy results. Is there enough evidence to reject the dermatologist’s claim? Discussion Question 1.
Respond to the following in a minimum of 175 words:
Emily is a fifth-grade student who completed a standardized reading test. She scored one standard deviation above the mean score.
Answer the following questions in a paragraph:
- How does the normal curve help you understand what this means about how Emily compares to other children who took the test? Explain how you determined your findings.
- What percentage of children scored lower than Emily?
- What percentage of children scored higher?
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RESPOND TO THE TWO CLASSMATES ANSWERS BELOW TO THE DISCUSSION QUESTION IN A 175 WORD COUNT EACH
Tinna Singleton
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“z scores can be used to determine proportions under the standard normal curve. The standard normal curve has a mean of 0 and a standard deviation of 1; the standard normal curve is symmetrical and bell-shaped and the mean, median, and mode are all the same.” (Jackson, 2017, p. 120)
To answer the question, knowing that z scores determine proportions, Emily test scores have a probability of being higher than her classmates based on the probability of 0 – 1. Using the normal curve calculations helps to understand how she scored higher and the other students lower?
The percentage of other students scoring higher or lower, if I am understanding correctly, would be 84.13% scored higher and 15.87% scored lower.
I am still struggling with how to use the equations to figure the answers, but understanding how to use the normal curve helped me see the equation better. When seeing it on the graph, I was able to better understand how you can take the unknown to find the answer, this is where my ability to see it helps me to understand it.
Jackson, S. (2017). STATISTICS Plain and Simple (4th ed.). Retrieved from The University of Phoenix eBook Collection database.
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James Campbell
Top of Form
The z score is always calculated by zero, and the standard deviation (variance) is in increments of one. Z scores describes what position the number will be in when the distance from the mean are measured in standard deviation (McLeod, S. A. (2019, May 17). It becomes positive where the value is above the mean and negative when below. It compares different kinds of variables by standardizing the distribution. The z score tells how far the mean score is away from the mean. If Emily scored one z score above the other students, that means she was one point above the mean score, which would be a plus for her. She was in the 84% of the other students. Emily classmate mate were 16% lower than her score. To be honest it does not say how many it in the class, so I going to take a guess that a third of the children grades are higher than Emily’s. Not having the proper data to work with leaves you to speculate.
McLeod, S. A. (2019, May 17). Z-score: definition, calculation and interpretation. Retrieved from
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