An instructor says that your test grade produced a very large positive z-score. (a) How well did you do on the test? (b) What do you know about your raw score’s relative frequency? (c) What does it mean if you scored at the 80th percentile? (d) What distri- bution would the instructor examine to make the conclusion in part c?

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A: The summary statistics given is Solution for parts (a), (b), (c) is given below.

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A: From the provided information, x = 30 and it is three deviations to the left of the mean.

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A: GivenN=16standard deviation(SD)=2

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A: The summary of the statistics is, The type of test is right tailed test

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A: Given info: Suppose you are interested in testing whether the mean earning of men is representative…

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A: Chebyshev’s rule: The Chebyshev’s rule states that, for any quantitative data set and any real…

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A:

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A: Given X=9,

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Q: What is the z-score of x=9, if it's 1.5 standard deviations to the left of the mean

A: We have to find z value from given data

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A: If the x = 75 is 2.8 standard deviations to the left of mean. Z value tells the distance from the…

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A: Formula of z score : z = x - μσ

Q: What is the z score of x = 9, if it is 1.5 standard deviations to the right of the mean?

A: Given X = 9 also  X = μ + 1.5 (σ) --1

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.