answer.
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
pantera1 [17]
2 years ago
15

Determine the margin of error, m , of a 99% confidence interval for the mean IQ score of all students with the disorder. Assume

that the standard deviation IQ score among the population of all students with the disorder is the same as the standard deviation of IQ score for the general population, σ = 15 points.
Mathematics
1 answer:
madreJ [45]2 years ago
7 0

Answer:

E= 6.45

standard deviation is σ = 15,

The critical value is z(α/2) = 2.58.

Step-by-step explanation:

Margin error is the value that is lie above and below the sample.It gives percentage of numbers.Its is the product of critical value standard deviation and standard error of statistic.

General formula for the margin of error is

Margin of error = critical value  ×   standard error of statistic

                        = z \alpha /2  ×   σ √n

z-value from two tailed is listed below:

From the table of standard normal distribution, probability value of 0.10.

row and column values gives the area to the two tail of z.

The positive z value is 2.58.

standard deviation is σ = 15,

The critical value is z(α/2) = 2.58.

after putting these vales we obtain the margin of error value that is

E= 6.45

You might be interested in
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production
Whitepunk [10]

Answer:

32% probability of a defect.

The expected number of defects for a 1000-unit production run is 320.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 10

Standard deviation = 0.15.

Probability of a defect

Weights less than 9.85 oz or greater than 10.15 oz will be classified as defects.

9.85 = 10 - 0.15

10.15 = 10 + 0.15

By the Empirical Rule, 68% of weights are between 9.85 and 10.15, that is, within the limits. 32% are not within the limits.

So there is a 32% probability of a defect.

Expected number of defects for a 1000-unit production run.

E(X) = 0.32*1000 = 320

The expected number of defects for a 1000-unit production run is 320.

5 0
2 years ago
What is a symbol for a line segment, line, point, and ray
Hoochie [10]
Line segment symbol:AB with a line over it. 
Line: ↔
         AB 
Point: A black dot. ·
Ray: A point then a line from that point with a arrow at the end. 

Hope this helps. 
https://www.mathsisfun.com/geometry/symbols.html
8 0
2 years ago
Sammy and Pippa's teacher gives them a homework question to solve. She tells them to plot the points A(5, -1), B(9, 4), C(15, 1)
kvv77 [185]

Answer:

Pippa

Step-by-step explanation:

A square has

  • parallel opposite sides
  • perpendicular adjacent sides
  • perpendicular diagonals

A rhombus has  

  • parallel opposite sides
  • non-perpendicular adjacent sides
  • perpendicular diagonals

Thus, we can identify the shape by comparing the slopes of the adjacent sides.

1. Draw the shape

See the graph below

2. Calculate the slope of AB

m = (y₂ - y₁)/(x₂ - x₁) = (4 - (-1))/(9 - 5) = (4 + 1)/4 = 5/4

3. Calculate the slope of BC

If BC⟂AP, its slope should be -4/5 .

m = (y₂ - y₁)/(x₂ - x₁) = (1 - 4)/(15 - 9) =-3/6 = -1/2

½ ≠ -⅘

The two lines are not perpendicular.

Pippa is right. The shape is a rhombus.

 

5 0
2 years ago
LMN is a straight angle. Find m LMP and m NMP​
viva [34]

Answer:

(-16x + 13)° + (-20x + 23)° = 180° ( St. angle)

-16x° + 13° - 20x° + 23° = 180°

-4x° + 36° = 180°

-4x° = 180°-36°

-4x° = 144°

-x° = 144°/4

-x° = -36°

x° = 36°

<u>Minus</u><u> </u><u>Minus</u><u> </u><u>cut</u>

<u>I</u><u> </u><u>hope</u><u> </u><u>you</u><u> </u><u>can</u><u> </u><u>know</u><u> </u><u>this</u><u> </u><u>answer</u>

3 0
2 years ago
For the sequence an = 2n + 1, identify the values of a0 = _____, a1 = _____, a2 = _____, and a3 = _____.
Tresset [83]

Answer:

Option A -  a_0= 2,a_1= 3,a_2= 5,a_3= 9

Step-by-step explanation:

Given : For the sequence a_n= 2^n + 1

To find : Identify the values of following?

Solution :

The nth term of the sequence is a_n= 2^n + 1

Substitute n=0,1,2 and 3

When n=0,

a_0= 2^0+ 1

a_0= 1+1

a_0=2

When n=1,

a_1= 2^1+ 1

a_1= 2+1

a_1=3

When n=2,

a_2= 2^2+ 1

a_2=4+1

a_2=5

When n=3,

a_3= 2^3+ 1

a_3= 8+ 1

a_3= 9

Therefore, The value is a_0= 2,a_1= 3,a_2= 5,a_3= 9

So, Option A is correct.

4 0
2 years ago
Other questions:
  • A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a
    14·2 answers
  • A gift bag shaped like a rectangular prism has a volume of 1152 cubic inches. The dimensions of the gift bag in terms of its wid
    7·1 answer
  • Two race cars are speeding around the racetrack at different speeds. One goes around the track in 2 minutes; the other goes arou
    8·2 answers
  • The dance floor is 20 meters long. using this information to help you follow the directions below. 1.) write an equation using v
    13·2 answers
  • A simple random sample (SRS) of 100 of a certain popular car in 1997 found that 20 had a certain minor defect in the brakes. An
    13·1 answer
  • A statistics professor randomly selects 31 students from their morning class and asks ``How much sleep did youget the night befo
    14·2 answers
  • When Ryan was born, he weighed 7 pounds.At 6 months, he weighed 11.2 pounds. Amanda weighed 6 pounds when she was born, and 12.9
    6·2 answers
  • What integer represents a rise in temperature of 19°?
    11·1 answer
  • Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the lib
    8·2 answers
  • What is the sum of 9.8 and 573.54
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!