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# for a standard normal distribution, a negative value of z indicates _____.

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## A negative value of Z indicates that: a. the number of standard deviations of an observation is to the right of the mean. b. the number of standard deviations of an observation is to the left of the mean. c. a mistake has been made in computations since Z

Answer to: A negative value of Z indicates that: a. the number of standard deviations of an observation is to the right of the mean. b. the number of...

Normal distribution

## A negative value of Z indicates that: a. the number of standard deviations of an observation is...

A negative value of Z indicates that: a. the number of standard deviations of an observation is... Question:

1. A negative value of Z indicates that:

A. the number of standard deviations of an observation is to the right of the mean.

B. the number of standard deviations of an observation is to the left of the mean.

C. a mistake has been made in computations since Z cannot be negative.

D. the data has a negative mean.

## Z-scores:

The value of a variable has information to give a researcher, especially in statistical matters. For example, the z score, coming from the standard normal distribution, tells us specific information including its sign.

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1. A negative value of Z indicates that

<

x μ x<μ

Hence, the correct option is the second one: B. the number of standard deviations of...

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Create an account Normal Distribution of Data: Examples, Definition & Characteristics

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Explore normal distribution. Learn the definition of a normal distribution and understand its different characteristics. Discover normal distribution examples.

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## Chapter 6 Flashcards

Study with Quizlet and memorize flashcards terms like A negative value of z indicates that:, The random variable x is known to be uniformly distributed between 2 and 12. Compute P(x > 6)., For the standard normal probability distribution, the area to the left of the mean is: and more.

## Chapter 6

A negative value of z indicates that:

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the number of standard deviations of an observation is below the mean.

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The random variable x is known to be uniformly distributed between 2 and 12. Compute P(x > 6).

Click card to see definition 👆

.60

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1/18 Created by Silupe

### Terms in this set (18)

A negative value of z indicates that:

the number of standard deviations of an observation is below the mean.

The random variable x is known to be uniformly distributed between 2 and 12. Compute P(x > 6).

.60

For the standard normal probability distribution, the area to the left of the mean is:

.50

For a uniform probability density function, the height of the function:

is the same for each value of x.

A health conscious student faithfully wears a device that tracks his steps. Suppose that the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1500 steps. One day he took 15,000 steps. What was his percentage of steps that day?

99.96%

The random variable x is known to be uniformly distributed between 2 and 12. Compute P(x = 6).

0

Which of the following is not a characteristic of the normal probability distribution?

The standard deviation must be one.

The random variable x is known to be uniformly distributed between 2 and 12. Compute P(x ≥ 6).

.60

A normal distribution with a mean of zero and a standard deviation of one is called:

a standard normal probability distribution.

A health conscious student faithfully wears a device that tracks his steps. Suppose that the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1500 steps. What percent of the time will he exceed 13,000 steps?

2.28%

The newest model of smart car is supposed to get excellent gas mileage. A thorough study showed that gas mileage (measured in miles per gallon) is normally distributed with a mean of 75 miles per gallon and a standard deviation of 10 miles per gallon. What value represents the 50th percentile of this distribution?

75

The center of a normal curve is:

the mean of the distribution.

In a standard normal distribution, what z-score corresponds to the 75th percentile?

z = .67 z=.67

The random variable x is known to be uniformly distributed between 2 and 12. Compute the standard deviation of x.

2.887

If z is a standard normal random variable, then compute P(-1.5 < z < 1.5).

.87

The random variable x is known to be uniformly distributed between 2 and 12. Compute E(x).

7

The height of the probability density function for a uniform distribution ranging between 2 and 6 is:

.25

A health conscious student faithfully wears a device that tracks his steps. Suppose that the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1500 steps. How many steps would he have to take to make the cut for the top 5% for his distribution?

8078

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Quiz on Ch 1 & 2 15 terms Silupe Test 1 60 terms Silupe Test 4 60 terms Silupe Chapter 14 17 terms Silupe

### Verified questions

STATISTICS

The American Council of Education reported that 47% of college freshmen earn a degree and graduate within five years (Associated Press, May 6, 2002). Assume that graduation records show women make up 50% of the students who graduated within five years, but only 45% of the students who did not graduate within five years. The students who had not graduated within five years either dropped out or were still working on their degrees.

a. Let A _ { 1 } = A 1 ​

= the student graduated within five years

A _ { 2 } = A 2 ​

= the student did not graduate within five years

W =

W= the student is a female student Using the given information, what are the values for

P \left( A _ { 1 } \right) , P \left( A _ { 2 } \right) , P ( W | A _ { 1 } ) ,

P(A 1 ​ ),P(A 2 ​ ),P(W∣A 1 ​ ), and

P ( W | A _ { 2 } ) ?

P(W∣A 2 ​ )?

b. What is the probability that a female student will graduate within five years? c. What is the probability that a male student will graduate within five years? d. Given the preceding results, what are the percentage of women and the percentage of men in the entering freshman class?

Of 45 people who purchase a phone at an electronics store, 40 purchased a smartphone. Determine the empirical probability that the next person who purchases a phone from that store purchases a smartphone.