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In a normal distribution, a z-score of -1.50 corresponds to the left tail. The proportion of the distribution in the tail beyond z = -1.50 can be found using a standard normal distribution table or calculator. Approximately 6.68% of the data lies below this z-score, meaning that about 93.32% of the data is above it. Thus, the proportion in the tail beyond z = -1.50 is roughly 0.9332, or 93.32%.
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What proportion of a normal distribution is located in the tail beyond z-1.00?
In a normal distribution, approximately 15.87% of the data falls beyond a z-score of -1.00 in the left tail. This is because a z-score of -1.00 corresponds to the 15.87th percentile of the distribution. Therefore, the proportion of the distribution located in the tail beyond z = -1.00 is about 15.87%.
Can a standard deviation be greater than its mean?
Yes - but the distribution is not a normal distribution - this can happen with a distribution that has a very long tail.
How many tails in skewed distribution?
A skewed distribution typically has one tail that is longer or fatter than the other. In a right-skewed distribution, the tail on the right side is longer, while in a left-skewed distribution, the left tail is longer. Therefore, a skewed distribution has one dominant tail, but it can be characterized by its direction (right or left).
In a normal distribution how frequently would a score occur that is more than 3 standard deviations above or below the mean?
In a normal distribution, approximately 99.7% of scores fall within three standard deviations of the mean, according to the empirical rule. This means that only about 0.3% of scores lie beyond three standard deviations from the mean—0.15% in each tail. Thus, scores more than three standard deviations above or below the mean are quite rare.
Is it true if a distribution is negatively skewed if the right tail is longer than the left?
No, a distribution is considered negatively skewed if the left tail is longer or fatter than the right tail. In this case, the bulk of the data is concentrated on the right side, with a longer tail extending to the left. A positively skewed distribution, on the other hand, has a longer right tail.
What proportion of a normal distribution is located in the tail beyond z-1.00?
In a normal distribution, approximately 15.87% of the data falls beyond a z-score of -1.00 in the left tail. This is because a z-score of -1.00 corresponds to the 15.87th percentile of the distribution. Therefore, the proportion of the distribution located in the tail beyond z = -1.00 is about 15.87%.
What proportion of a normal distribution is located in the tail beyond a z-score if z equals -1.50?
0.0668 or about 1/15
What is the proportion of a normal distribution is located in the tail beyond a z score of z equals 1.00?
It is 0.158655, approx.
What proportion of a normal distribution is located in the tail beyond a z score of z equals 1.00?
It is 0.158655 or 0.159 approx.is the anwer 0.8413, -0.3413, -0.1587, 0.1587
What percentage of a normal distribution is located in the tail beyond a z-score of z - 1.20?
11.51% of the distribution.
What percentage of a normal distribution is located in the tail beyond z equals 2.00?
2.27%
What percent of a normal distribution is located in the tail beyond z equals 2.00?
2.27
Can a standard deviation be greater than its mean?
Yes - but the distribution is not a normal distribution - this can happen with a distribution that has a very long tail.
Describe the sampling distribution model for the sample proportion by naming the model and telling its mean and standard deviation?
it is the test one tail
Why two tail of normal distribution do not touch the horizontal axis?
The domain of the Normal distribution is the whole of the real line. As a result the horizontal axis is asymptotic to the Normal distribution curve. The curve gets closer and closer to the axis but never, ever reaches it.
How many tails in skewed distribution?
A skewed distribution typically has one tail that is longer or fatter than the other. In a right-skewed distribution, the tail on the right side is longer, while in a left-skewed distribution, the left tail is longer. Therefore, a skewed distribution has one dominant tail, but it can be characterized by its direction (right or left).
What is the proportion of data that is in the tail for a z-score of - 1.17.?
It is .121
