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Anna11 [10]
3 years ago
5

The area beneath the normal density curve is separated into three regions by the values

Mathematics
1 answer:
Levart [38]3 years ago
8 0

The value of the area to the right of X > 6.7 calculated from the normal distribution principle is 0.334

<u>Given the Parameters</u> :

  • Mean, μ = 6.4
  • Standard deviation, σ = 0.7
  • X = 6.7

Using the Zscore formula for a normal distribution :

  • Zscore = (X - mean) / standard deviation

The Zscore, when X = 6.7

  • Zscore = (6.7 - 6.4) / 0.7 = 0.4286

<u>The area to the right of the distribution</u> :

  • P(Z > 0.4286) = 1 - P(Z < 0.4286)

Using a normal distribution table or calculator :

  • P(Z > 0.4286) = 1 - 0.66589 = 0.334

Therefore, the probability value of P(X < 6.7) is

  • P(Z > 0.4286) = 0.334

Learn more :brainly.com/question/8165716

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Answer:

3

Step-by-step explanation:

I think you misses attaching the photo, so please have a look at my photo for your better understanding.

We know the formula for rate of change of the  parabola line:

\frac{f(b)- f(a)}{b-a}

Given here:

a= 2 => f(a) = 2

b=6 => f(b) = 2

Substitute all the values into the function, we have:

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7 0
4 years ago
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Write an expression for "7 divided by <br> c."
Harman [31]
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8 0
3 years ago
What sign of a null hypothesis must always include?
IrinaVladis [17]

Answer:

Option d - Equality

Step-by-step explanation:

To find : What sign of a null hypothesis must always include?

Solution :

The Null hypothesis is defined as a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt.

The Null hypothesis represent by H_o

H_o always has a symbol with an equal in it.

Therefore, Option d is correct.

Equality sign of a null hypothesis must always include.

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3 years ago
If the sin 30° = , then the cos 60° = _____. 0, because the angles are complementary , because the angles are complementary , be
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Step-by-step explanation:

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The heights (in inches) and pulse rates (in beats per minute) for a sample of 40 women were measured. Using technology with the
Viktor [21]

Answer:

There is not sufficient evidence  to support the claim that there is a linear correlation between the heights and pulse rates of women

Step-by-step explanation:

The correlation coefficient between the variables h(height in inches) and pulse rates (in beats per minute) is 0.202

Sample size n=40

Level of significane alpha = 0.01

Create null and alternate hypothesis as:

H0: r=0

Ha: r not equal 0

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Sample r = 0.202

r difference = 0.202

test statistic t = \frac{r\sqrt{n-2} }{\sqrt{1-r^2} } \\=\frac{0.202(\sqrt{38} )}{\sqrt{0.9592} } \\=\frac{1.25}{0.9794} \\=1.271

df =n-2 =38

t critical value for 0.01 and df =38 is 2.704

Since our test statistic lies below 2.704, we accept null hypothesis

There is not sufficient evidence  to support the claim that there is a linear correlation between the heights and pulse rates of women

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