1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
spayn [35]
3 years ago
7

Assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. If th

e top 5 percent and bottom 15 percent are excluded for an experiment, what is the bottom cutoff heights to be eligible for this experiment? Round your answers to one decimal place.
Mathematics
1 answer:
ioda3 years ago
8 0

Answer:

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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.

Mean of 69.0 inches and a standard deviation of 2.8 inches.

This means that \mu = 69, \sigma = 2.8

What is the bottom cutoff heights to be eligible for this experiment?

The bottom 15% are excluded, so the bottom cutoff is the 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.

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

-1.037 = \frac{X - 69}{2.8}

X - 69 = -1.037*2.8

X = 66.1

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

You might be interested in
To divide 3/8 ÷ 1/4 using a model, which of the following are true? Select all that are correct.
alina1380 [7]

So your answer according to these hints I provided for you, should lead you to your answer, which should in other words be,

The 1st. The 2nd. And I would say...The 4th. The reason why I say not the 3rd one is because the 4 has nothing to do with the 8, the 3 does because it's divided by it.

If it's not useful, feel free to report for mistake in answer. -_-



5 0
3 years ago
Graph the line y=−3x+b if it is known that the graph goes through point: B(5,2)
Nuetrik [128]

Try this solution:

1. In order to built the line required in the condition it need to determine its equation.

Using the coordinates of point B (5;2), if to substitute them into the given equation: 2=-3*5+b, ⇒ b=17. It means, that the equation of the line required in the condition is y= -3x+17.

2. The graph is in the attachment; point (0;17) is the intersection point of Y-axis and the line.

5 0
3 years ago
WILL GIVE BRAINLIEST!!!<br><br> What is the value of x?
MakcuM [25]

Answer:

42.9 m

Step-by-step explanation:

check out the image for proper explanation.

5 0
3 years ago
Can someone help me with this! Ty
rosijanka [135]

Answer:

drag  10 to the

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Figure a is a scale image of figure b. what is the value of x? please answer asap!
emmainna [20.7K]

<em>Greetings from Brasil...</em>

According to the statement, one figure is scaled in relation to another, so we can apply similarity to polygons.....

So

BIG/small = BIG/small

or

small/BIG = small/BIG

12.5/10 = X/16

OR

10/12.5 = 16/X

12.5/10 = X/16

10X = 12.5 · 16

X = 200/10

<h3>X = 20</h3>
8 0
3 years ago
Other questions:
  • The movie theater received $1,245 for tickets they sold on Monday. The theater received $955 for tickets sold on Tuesday. Each t
    8·2 answers
  • Misha spent $37.80 on 5 bunches of flowers. There are a dozen flowers in each bunch. How much does each flower cost?
    15·2 answers
  • Which is not a statistical question?
    7·2 answers
  • If nominal GDP is 2400 and the money supply is 400, what is the velocity?
    6·1 answer
  • How was your day?<br><br> i hope it was good &lt;3
    13·1 answer
  • What is the domain and range for following graph
    11·1 answer
  • Which triangle is a translation
    8·1 answer
  • Please help me please i really need help please
    8·1 answer
  • What are the answers to 1 2 and 3?
    10·1 answer
  • How do you write a linear model?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!