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
vlada-n [284]
3 years ago
5

A population is known to be normally distributed with a standard deviation of 2.8. (a) Compute the 95% confidence interval on th

e mean based on the following sample of nine: 8, 9, 10, 13, 14, 16, 17, 20, 21. (b) Now compute the 99% confidence interval using the same data.
Mathematics
1 answer:
Ugo [173]3 years ago
3 0

Answer:

Step-by-step explanation:

Mean = sum of terms/number of terms

The mean of the given sample is

(8 + 9 + 10 + 13 + 14 + 16 + 17 + 20 + 21)/9 = 14.2

a)

For a confidence level of 95%, the corresponding z value is 1.96.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

Where

n represents the number of samples

It becomes

14.2 ± 1.96 × 2.8/√9

= 14.2 ± 1.96 × 0.933

= 14.2 ± 1.83

The lower end of the confidence interval is 12.37

The upper end of the confidence interval is 16.03

b)

For a confidence level of 99%, the corresponding z value is 2.58

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

Where

n represents the number of samples

It becomes

14.2 ± 2.58 × 2.8/√9

= 14.2 ± 2.58 × 0.933

= 14.2 ± 2.4

The lower end of the confidence interval is 11.8

The upper end of the confidence interval is 16.6

You might be interested in
HELPP!! Whats -8/9 divided by 2/3
galina1969 [7]

Answer:

-4/3

Step-by-step explanation:

You can also use mathpapa it's a calculator that gives you the answer and solves it for you step by step.

please mark me brainliest :)

5 0
2 years ago
Someone please help me find y.
WITCHER [35]
Here's y

y=<span>‌<span><span><span>−<span>8x</span></span>+29
       </span><span><span>−x</span>+<span>3

Hope this helps:)
</span></span></span></span>
7 0
3 years ago
The figure below is made up of two rectangles.
Dmitry [639]

Answer:

Total area of figure = [3x² + 7x + 6] feet²

Step-by-step explanation:

By dividing both rectangle by vertical line;

Given:

Length of big rectangle = (x + 3) feet

Width of big rectangle = (x + 2) feet

Length of small rectangle = 2x feet

Width of small rectangle = (x + 1) feet

Find:

Total area of figure

Computation:

Area of rectangle = Length x width

Total area of figure = Area of big rectangle + Area of small rectangle

Total area of figure = [(x + 3)(x + 2)] + [(2x)(x + 1)]

Total area of figure = [x²+ 2x + 3x + 6] + [2x² + 2x]

Total area of figure = [3x² + 7x + 6] feet²

7 0
3 years ago
What is 121 divided by 11
gizmo_the_mogwai [7]
11 is your answer because 11* 11 is 121
4 0
3 years ago
Read 2 more answers
Identify the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector &lt;−6, 3&gt;.
jarptica [38.1K]

Answer:

P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)

Step-by-step explanation:

The translation vector, ⟨−6,3⟩, can be used to derive a rule for the translation of the coordinates: (x,y)→(x−6,y+3).

Apply the rule to translate each of the three preimage vertices to the image vertices.

P(−4,−5)→P'(−10,−2)

L(1,−7)→L'(−5,−4)

K(−9,8)→K'(−15,11)

Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.

4 0
2 years ago
Read 2 more answers
Other questions:
  • The vertex form of the equation of
    11·1 answer
  • What is the surface area of the figure shown above
    9·1 answer
  • A ladder is leaning against a building and makes 28° angle with the ground. The top of the ladder reaches 35 feet up on the buil
    15·2 answers
  • Which boxes do I select?
    9·1 answer
  • What is the output value for the following function if the input value is 1?
    8·1 answer
  • the equation for a dog weight in pound (y) based on the number of burgers ir eats (x) seen in the equation below y=0.5x × 12
    9·1 answer
  • Anyone can help me with all of these answers 1-10 ( 18 Points ) ?
    9·1 answer
  • The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additi
    7·1 answer
  • Find x. Assume that segments that appear tangent are tangent.
    12·2 answers
  • 2. If (300) (30,000) = 9 x 10m, then m =
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!