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Which one of the following would be a correct interpretation if you have a z-score of +2.0on 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 +2.0on 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

AP2.22. A health worker is interested in determining if omega-3fish oil can help reduce cholesterol in adults. She obtains permission to examine the health records of200 people in a large medical clinic and classifies them
according to whether or not they take omega-3fish oil. She also obtains their latest cholesterol readings and finds that the mean cholesterol reading for those who are taking omega-3fish oil is 18points lower than the mean for the group not taking omega-3 fish oil.
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Sale of eggs that are contaminated with salmonella can cause food poisoning in consumers. A large egg producer takes an SRS of 200eggs from all the eggs shipped in one day. The laboratory reports that9of these eggs had salmonella contamination. Unknown to the producer, 0.1%(one-tenth of 1%) of all eggs shipped had salmonella. Identify the population, the parameter, the sample, and the statistic.

The student newspaper at a large university asks an SRS of 250undergraduates, 鈥淒o you favor eliminating the carnival from the term-end celebration?鈥 All in all, 150of the 250are 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=250from this population, the sampling distribution of the sample proportion Pwould be

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A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the mean amount poured into the bottles is 16.05ounces with a standard deviation of 0.1ounces. Assume that the machine is working properly. If four bottles are randomly selected each hour and the number of ounces in each bottle is measured, then 95%of the observations should occur in which interval?

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What does the CLT say? Asked what the central limit theorem says, a student replies, "As you take larger and larger samples from a population, the histogram of the sample values looks mote and more Normal." ls the student right? Explain your answer.

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