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iVinArrow [24]
3 years ago
9

a) Does the Range Rule of Thumb estimate more often underestimate or overestimate the actual standard deviation?

Mathematics
1 answer:
qwelly [4]3 years ago
8 0
Yes it dose hope this helped :)
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two high school students took equivalent language tests, one in German and one in French. The student taking the German test, fo
dedylja [7]

Answer:

The student who did the German test scored 2 standard deviations above the mean and the student who did the French test scored 1.6 standard deviations above the mean. Relative to their classmates, the student who did the German test scored better due to the higher z-score.

Step-by-step explanation:

Z-score

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

German test

Mean was 66 and the standard deviation was 8, scored an 82.

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{82 - 66}{8}

Z = 2

French test:

Mean was 27 and the standard deviation was 5, scored a 35.

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{35 - 27}{5}

Z = 1.6

The student who did the German test scored 2 standard deviations above the mean and the student who did the French test scored 1.6 standard deviations above the mean. Relative to their classmates, the student who did the German test scored better due to the higher z-score.

5 0
3 years ago
Can someone help with this question?
Bas_tet [7]
Get the app called connects! It’s really good help for math!
5 0
3 years ago
Please help thank you.
MA_775_DIABLO [31]
Question 1:

To start off this question, we can tell that this is a square because it has 4 right angles and 4 congruent sides.

A square has four parallel sides and 4 congruent sides, so a square is a rhombus and parallelogram. 

A square has 4 right angles, so it's also a rectangle.

A square has 4 sides, so it's also a quadrilateral.

The first choice is your answer.

Question 2:

Not all quadrilaterals are rectangles, so A is incorrect.

Not all quadrilaterals are squares, so B is incorrect.

All rectangles are types of quadrilaterals, so C is correct.

Not all quadrilaterals are parallelograms, so D is incorrect.

Thus, C is your answer.

Question 3: 

The first choice will not work because a rhombus will satisfy those conditions, and a rhombus is not always a square.

The second choice will work because only a square will satisfy that condition because only squares have 4 congruent sides along with equal diagonals.

Thus, the second choice is your answer.

Have an awesome day! :)
7 0
3 years ago
The table contains four statements. For which function below are four statements true?
Elena L [17]

I pretty sure the best answer would be f(x)=cbrt(27-x)

cbrt means cube root by the way.

8 0
3 years ago
Read 2 more answers
2 2/3 + 12 6/8 how do I work this
barxatty [35]

Answer:

\large\boxed{2\dfrac{2}{3}+12\dfrac{6}{8}=15\dfrac{5}{12}}

Step-by-step explanation:

2\dfrac{2}{3}+12\dfrac{6}{8}=2\dfrac{2}{3}+12\dfrac{6:2}{8:2}=2\dfrac{2}{3}+12\dfrac{3}{4}\\\\\text{Find}\ LCD:\\\\\text{List of multiples of 3:}\ 0,\ 3,\ 6,\ 9,\ \boxed{12},\ 15,\ ...\\\text{List of multiples of 4:}\ 0,\ 4,\ 8,\ \boxed{12},\ 16,\ ...\\\\12=3\cdot4\\\\\text{therefore}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}\\\\\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\2\dfrac{2}{3}+12\dfrac{3}{4}=2\dfrac{8}{12}+12\dfrac{9}{12}=(2+12)+\dfrac{8+9}{12}=14+\dfrac{17}{12}\\\\=14+1\dfrac{5}{12}=15\dfrac{5}{12}

3 0
3 years ago
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