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The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset Vaia Explanations$ Math

4th Edition · 809 pages

ISBN: 9781319113339

Chapter 7: Q. 17 (page 463)

Which one of the following would be a correct interpretation if you have a z-score of $+ 2.0$ on an exam?
(a) It means that you missed two questions on the exam.
(b) It means that you got twice as many questions correct as the average student.
(c) It means that your grade was two points higher than the mean grade on this exam.
(d) It means that your grade was in the upper $2 %$ of all grades on this exam.
(e) It means that your grade is two standard deviations above the mean for this exam.

Short Answer

Expert verified

The correct answer is option(e)It means that your grade is two standard deviations above the mean for this exam.

Step by step solution

01

Given information

The z- score is $+ 2.0$ on an exam.

02

Explanation

Given: z-score is $+ 2.0$ .
The z-score denotes the number of standard deviations a value drops out from the mean. And, thez-score of two illustrates the grade as two standard deviations, and the mean for the given exam.
Hence, the correct option is (e)

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Most popular questions from this chapter

(a) Sketch a possible graph of the distribution of sample data for an SRS of size $5$ with a range of $1000$ grams.

(b) Explain why the dotplot of sample ranges above is not the actual sampling distribution of the sample range.

A newspaper poll reported that $73 %$ of respondents liked business tycoon Donald Trump. The number $73 %$ is

(a) a population.

(b) a parameter.

(c) a sample.

(d) a statistic.

(e) an unbiased estimator.

The student newspaper at a large university asks an SRS of $250$ undergraduates, “Do you favor eliminating the carnival from the term-end celebration?” All in all, $150$ of the $250$ are in favor. Suppose that (unknown to you) $55 %$ of all undergraduates favor eliminating the carnival. If you took a very large number of SRSs of size $n = 250$ from this population, the sampling distribution of the sample proportion $\overset{\land}{P}$ would be

(a) exactly Normal with mean $0.55$ and standard deviation of $0.03$

(b) approximately Normal with mean $0.55$ and standard deviation $0.03$ .

(c) exactly Normal with mean $0.60$ and standard deviation $0.03$ .

(d) approximately Normal with mean $0.60$ and standard deviation $0.03$ .

(e) heavily skewed with mean $0.55$ and standard deviation $0.03$ .

T7.11. Below are histograms of the values taken by three sample statistics in several hundred samples from the same population. The true value of the population parameter is marked with an arrow on each histogram

Which statistic would provide the best estimate of the parameter? Justify your answer

Bottling cola A hattling compamy uses a fillimg maichine to fill plastic botles with cola. The bottles are supposed to contain $300$ milliliters (ml) . In fact, the contents vary according to a Normal distribution with mean $μ = 298$ ml and standard deviation $σ = 3 m l$

(a) What is the probability that in individual bottle contains less than $295 m l$ ? Show you work.

(b) What is the probability that the mean contents of six randomly selected bottles is less than $295 m l$ ? Show your work.

See all solutions

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