Statistics Chapter 6: Normal Distributions

<p>1 (A)</p> Signup and view all the answers

<p>Text Editor (C)</p> Signup and view all the answers

<p>One page for negative z scores and one for positive z scores (A)</p> Signup and view all the answers

<p>NORMDIST (C)</p> Signup and view all the answers

<p>To provide cumulative areas for standard normal distribution (B)</p> Signup and view all the answers

<p>Every point on the curve must have a vertical height that is 0 or greater. (B)</p> Signup and view all the answers

<p>Its graph is bell-shaped. (C)</p> Signup and view all the answers

<p>The total probability, which must equal 1. (C)</p> Signup and view all the answers

<p>µ = 0, σ = 1 (B)</p> Signup and view all the answers

<p>The relative frequency distribution. (D)</p> Signup and view all the answers

<p>It represents a range of values over an interval. (A)</p> Signup and view all the answers

<p>It is bell-shaped. (B)</p> Signup and view all the answers

<p>The frequency of each class. (B)</p> Signup and view all the answers

<p>Distance along the horizontal scale of the distribution (A)</p> Signup and view all the answers

<p>The area (probability) under the curve (A)</p> Signup and view all the answers

<p>0.8980 (C)</p> Signup and view all the answers

<p>P(z &gt; -1.23) equals 0.8907 (C)</p> Signup and view all the answers

<p>Z scores standardize data to a common scale. (A)</p> Signup and view all the answers

<p>=NORM.S.DIST(1.27, TRUE) (B)</p> Signup and view all the answers

<p>-0.2 (A)</p> Signup and view all the answers

<p>They show the relative position of a test result in a normal distribution. (D)</p> Signup and view all the answers

<p>Bell-shaped (D)</p> Signup and view all the answers

<p>µ = 0 and σ = 1 (D)</p> Signup and view all the answers

<p>Values are spread evenly. (D)</p> Signup and view all the answers

<p>Probability, which is equal to 1 (A)</p> Signup and view all the answers

<p>0.8907 (A)</p> Signup and view all the answers

<p>25% of values are above the voltage level (C)</p> Signup and view all the answers

<p>Voltage levels greater than a specific value (A)</p> Signup and view all the answers

<p>0.9104 (B)</p> Signup and view all the answers

<p>$ f(x) = rac{1}{σ imes ext{sqrt}(2 ext{π})} e^{-rac{1}{2}(rac{x-µ}{σ})^2} $ (D)</p> Signup and view all the answers

<p>The probability that the z score is less than a. (A)</p> Signup and view all the answers

<p>Has a finite range of values (C)</p> Signup and view all the answers

<p>0.0594 (C)</p> Signup and view all the answers

<p>0.0594 (C)</p> Signup and view all the answers

<p>P(z &lt; 1.56) − P(z &lt; −0.85) (D)</p> Signup and view all the answers

<p>0.1056 (C)</p> Signup and view all the answers

<p>0.8023 (D)</p> Signup and view all the answers

A continuous random variable is a variable that can take on any value within a given range.

A density curve is the graph of a continuous probability distribution. It's a smooth, unbroken curve that describes the probability of a variable taking on any given value.

The total area under the density curve must equal 1. This represents the fact that the probability of the variable taking on any value within its range is 1.

The standard normal distribution is a specific type of normal distribution with a mean of 0 and a standard deviation of 1.

The graph of a standard normal distribution is bell-shaped, symmetrical around its mean of 0.

The mean of a standard normal distribution is always 0, meaning the average value of the data is centered at 0.

The standard deviation of a standard normal distribution is always 1, indicating the spread of the data points around the mean.

The standard normal distribution is used extensively in statistics because many real-world phenomena are approximately normally distributed.

A continuous distribution where the probability of each value is equal.

The graph of a uniform distribution looks like a rectangle.

A continuous distribution with a bell-shaped, symmetrical graph. It's described by a specific mathematical formula.

The area under the curve of a probability distribution equals 1, representing the total probability.

The shaded area under a probability distribution graph represents the probability of a given event.

The correspondence between area and probability allows us to calculate probabilities by calculating the area under the density curve.

A table that lists the area under the standard normal curve to the left of a given z-score.

The distance along the horizontal axis of the standard normal distribution. It represents the number of standard deviations a value is away from the mean.

The area under the curve of a standard normal distribution. It represents the probability of a value being less than or equal to a given z-score.

The probability of a z-score being less than a given value.

The probability of a z-score being greater than a given value.

The probability of a z-score being between two given values.

A statistical test used to identify osteoporosis, a condition causing bone fragility.

A method used to convert a value from a normal distribution with any mean and standard deviation to a standard normal distribution with a mean of 0 and a standard deviation of 1 by subtracting the mean and dividing by the standard deviation.

The process of finding probabilities using the standard normal distribution.

The area under the standard normal curve to the left of a specific z-score. It represents the probability of observing a z-score less than or equal to the specified value.

To find the probability associated with a specific z-score, locate the z-score in the Z-table and read the corresponding area. This area is the probability of observing a z-score less than or equal to the given value.

The probability that a z-score falls between two specified values.

The probability that a z-score is greater than a given value.

The probability that a z-score is less than a given value.

The probability that a z-score is greater than -1.23.

The probability that a z-score falls between -2.00 and 1.50.

The probability that a z-score is less than -2.00.

The probability that a z-score is less than 1.50.

The probability of randomly selecting a thermometer with a reading above -1.23 degrees.