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
aksik [14]
3 years ago
11

Scores on an IQ test are normally distributed. A sample of 25 IQ scores had standard deviation of 8. The developer of the test c

laims that the population standard deviation of 15. Do these data provide sufficient evidence to significance? Use =0.05α=0.05 . Test by using a confidence interval. Show step1-step3.
Mathematics
1 answer:
Mkey [24]3 years ago
6 0

Answer:

Yes, the data provides sufficient evidence at 0.05 level of significance

Step-by-step explanation:

n = 25

s = 8

σ = 15

χ² = (n - 1)s² / σ²

χ² = (25 - 1)*8² / 15²

χ² = (24 * 64) / 225

χ² = 6.827

The critical value at 0.05 ; df = 25 - 1 = 24

12.4012 and 39.3641

Reject H0 if χ² < 12.4012 or if χ² > 39.3641

Since,

χ² < 12.4012 ; We reject H0 ;

You might be interested in
What is the result of isolating y2 in the equation below? 9x2 + 7y2 = 42
ElenaW [278]
First, move 9x^2 to the right:

7y^2 = 42 - 9x^2

Then, divide 7 on both sides:

y^2 = 6 - 9/7 * x^2
8 0
3 years ago
Rewrite in Polar Form....<br> x^(2)+y^(2)-6y-8=0
skad [1K]
\bf x^2+y^2-6y-8=0\qquad &#10;\begin{cases}&#10;x^2+y^2=r^2\\\\&#10;y=rsin(\theta)&#10;\end{cases}\implies r^2-6rsin(\theta)=8&#10;\\\\\\&#10;\textit{now, we do some grouping}\implies [r^2-6rsin(\theta)]=8&#10;\\\\\\\&#10;[r^2-6rsin(\theta)+\boxed{?}^2]=8\impliedby &#10;\begin{array}{llll}&#10;\textit{so we need a value there to make}\\&#10;\textit{a perfect square trinomial}&#10;\end{array}

\bf 6rsin(\theta)\iff 2\cdot r\cdot  \boxed{3\cdot sin(\theta)}\impliedby \textit{so there}&#10;\\\\\\&#10;\textit{now, bear in mind we're just borrowing from zero, 0}&#10;\\\\&#10;\textit{so if we add, \underline{whatever}, we also have to subtract \underline{whatever}}

\bf [r^2-6rsin(\theta)\underline{+[3sin(\theta)]^2}]\quad \underline{-[3sin(\theta)]^2}=8\\\\&#10;\left. \qquad  \right.\uparrow \\&#10;\textit{so-called "completing the square"}&#10;\\\\\\\&#10;[r-3sin(\theta)]^2=8+[3sin(\theta)]^2\implies [r-3sin(\theta)]^2=8+9sin^2(\theta)&#10;\\\\\\&#10;r-3sin(\theta)=\sqrt{8+9sin^2(\theta)}\implies r=\sqrt{8+9sin^2(\theta)}+3sin(\theta)
3 0
3 years ago
The growth of a strain of bacteria can be modeled by the function graphed, where the x-values are the time in seconds and the y-
Andrew [12]

There are (A) 2.7 bacterias initially.

<h3>What is a function?</h3>
  • A function is an expression that establishes the relationship between the dependent and independent variables.
  • A function from a set X to a set Y allocates exactly one element of Y to each element of X.
  • The set X is known as the function's domain, while the set Y is known as the function's codomain.
  • Originally, functions were the idealization of how a variable quantity depends on another quantity.

To find the number of bacteria:

  • The graph shows that the function follows an exponential curve, and the starting point is at ( 0,2.7 ).
  • The starting number of bacteria is then 2.7.

Therefore, there are (A) 2.7 bacterias initially.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

The correct question is given below:
The growth of a strain of bacteria can be modeled by

the function graphed, where the x-values are the time

in seconds and the y-values are the number of

bacteria. How many bacteria are there initially?

(A) 2.7

(B) 2.8

(C) 4

3 0
2 years ago
Can someone help me with this question? Will give brainliest :) (valid answers only or you’ll be reported)
Pani-rosa [81]

Answer:

...

Step-by-step explanation:

7 0
3 years ago
57000 x45 pls helppppppp​
Varvara68 [4.7K]

Answer:

2565000

Step-by-step explanation:

Easy, multiply them in a table.

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the square root of 999?
    9·2 answers
  • What is the area of a rectangle with vertices at (2, 3), (7, 3), (7, 10), and (2, 10)?
    6·2 answers
  • X^3-x^2-4x<br> factor completely
    14·2 answers
  • *PLEASE ANSWER!! ILL GIVE BRAINLIEST*
    6·2 answers
  • X + 3( x + 2) + 2 in the simplest form
    6·2 answers
  • The domain of y=log(9-x^2),xER, is
    12·1 answer
  • List 5 fractions that are between 1/3 and 4/5
    15·1 answer
  • motlokoa bought a packet of sweets.In the packet there are 32 sweets, 6 of the sweets are blue.write the number of blue sweets i
    9·2 answers
  • Which inequality represents all the solutions of<br> 9(4x-8) &lt; 4(6x + 9)?
    5·1 answer
  • Which values are part of the solution set? Check all that apply. x = 3 x = –5 x = negative one-half x = –4.5 x = –4
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!