Q6: Women's heights have a mean of 63.6 inches and a standard deviationof 2.5 inches. What is the z-score corresponding to a woman with a height
of 70 inches? Is this usual or unusual?
A. Z-score is 2.56 and is usual. B. Z-score is 2.56 and is unusual
C. Z-score is -2.56 and is usual D. Z-score is -2.56 and is unusual

Answers

Answer 1

Answer:

The corresponding z-score for a height of 70 inches is 2.56, which is considered unusual based on the standard threshold.

Use the concept of statistics defined as:

Statistics is a discipline of mathematics that deals with all aspects of data. Statistical knowledge aids in the selection of the appropriate technique of data collection and the use of those samples in the appropriate analysis process in order to effectively create the results. In short, statistics is an important procedure that assists in making data-driven decisions.

Given that,

The mean height of women: 63.6 inches

The standard deviation of women's heights: 2.5 inches

Height in question: 70 inches

Z-score formula: Z = (X - μ) / σ

The Z-score calculation for a height of 70 inches: Z = 2.56

Z-score interpretation: Unusual (greater than 2)

To find the z-score,

Use the formula:

Z = (X - μ) / σ

Where,

X is the value (in this case, 70 inches),

μ is the mean (63.6 inches),

σ is the standarddeviation (2.5 inches).

Calculating the z-score for a height of 70 inches:

Z = (70 - 63.6) / 2.5

Z = 6.4 / 2.5

Z = 2.56

So, the z-score corresponding to a woman with a height of 70 inches is 2.56.

Now, to determine if this z-score is usual or unusual,

Use the standard z-score table.

Usually, z-scores greater than 2 or less than -2 are considered unusual.

In this case,

The z-score is 2.56, which is greater than 2.

Hence,

The correct answer is B. The z-score is 2.56 which is unusual.

To learn more about statistics visit:

brainly.com/question/30765535

#SPJ3

Answer 2

Answer:

Answer:

Step-by-step explanation:

Hopefully this helps

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Answers

No, this is not a proportional graph because the line isn’t hitting the origin

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is larger than ∠B2.) a = 31, c = 42, ∠A = 39° ∠B1 = ° ∠B2 = ° ∠C1 = ° ∠C2 = ° b1 = b2 =

Answers

Answer:

Step-by-step explanation:

In triangle ABC we have $a = 31, c = 42, ∠A = 39°$

To find other sides and angles.

Use sine formula for triangles

$(a)/(sin A) =(b)/(sin B) =(c)/(sinC) \n(31)/(sin39) =(b)/(sinB) =(42)/(sinc)$

Cross multiply to get

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Remmi wrote the equation of the line y=1/3(x+2) He solved for x and got x=3y-2 Which of the following is an equivalent equation for x?a. x=y-11/3
b. x=y+7/3
c. x=3(y-2/3)
d. x=3(y+2/3)

Answers

Answer:

Option c is correct

$x = 3(x - (2)/(3))$

Step-by-step explanation:

Remmi wrote the equation of the line :

$y = (1)/(3)(x+2)$

Multiply both sides by 3 we have;

$3y = x+2$

Subtract 2 from both sides we have;

$3y-2 = x$

x = 3y-2

We can write this as:

$x = 3(x - (2)/(3))$

Therefore, the following is an equivalent equation for x is, $x = 3(x - (2)/(3))$

Just took the quiz.

The answer is x=3(y-2/3)

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Answers

Plato answer is 13863

You have left a LOT out of your question. However I'll attempt to post an answer.

The half-life of carbon 14 is 5,700 years.

If there is 25% of the original carbon 14 remaining that means the time it has undergone has been 2 half lives.

2 half-lives of carbon14 = 2 * 5,700 = 11,400 years.

What is 20 percent of 70 plants