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antiseptic1488 [7]
3 years ago
6

To find the area under the standard normal distribution curve between two z values, one first finds the difference between the t

wo z values, then locates the value corresponding to that difference in the standard normal distribution table.
a.true

b.false
Mathematics
1 answer:
Tasya [4]3 years ago
8 0
Z-score is a statistical tool that is used to determine the probability of finding a number or a value under a normal distribution plot. A normal distribution assumes that the mean is equal to zero and that the standard deviation is equal to 1. Using the z-score table, we can find the probability either on the right side or the left side.

The statement above is false as the z-scores depend on their locations in the distribution and differs in every way. This would result to erroneous computations. So the correct way to determine the difference of probabilities is to get the individual probabilities and get the difference thereafter. 
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On a recent Summative Assessment, the mean score for the Algebra 1 class was 72 and the standard deviation was 7. See the normal
Flura [38]
<h3>Answer:  20 </h3>

=====================================================

Reasoning:

The empirical rule says that about 68% of the population is within 1 standard deviation of the mean. This applies to the normal distribution.

The mean in this case is 72 and the standard deviation is 7.

One standard deviation below the mean is 72-7 = 65, while one standard deviation above the center point is 72+7 = 79. This is visually shown as the closest tickmarks to the center 72. Each tickmark represents a unit of standard deviation (eg: 85 is two standard deviations above the mean, since it's 2 tickmarks above 72).

Saying "within 7 points of the mean" therefore is the same as saying "the score is between 65 and 79, inclusive of both endpoints".

So you're teacher is asking how many students got between 65 and 79. As mentioned at the very top, roughly 68% of the population fits this description.

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68% of 30 = 0.68*30 = 20.4 = 20 students got a quiz score within seven points of the mean.

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