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
Eva8 [605]
3 years ago
15

A random sample of 49 measurements from a population with population standard deviation σ1 = 4 had a sample mean of x1 = 11. An

independent random sample of 64 measurements from a second population with population standard deviation σ2 = 5 had a sample mean of x2 = 14. Test the claim that the population means are different. Use level of significance 0.01. What distribution does the sample test statistic follow? Explain.
Mathematics
1 answer:
azamat3 years ago
6 0

Answer:

Reject H0 and conclude that population means are different.

Step-by-step explanation:

H0: μ1 = μ2

H1: μ1 ≠ μ2

x1 = 11 ; σ1 = 4 ; n1 = 49

x2 = 14 ; σ2 = 5 ; n2 = 64

The test statistic :

(x1 - x2) / sqrt[(σ1²/n1 + σ2²/n2)]

Test statistic :

(11 - 14) / sqrt[(4²/49 + 5²/64)]

Test statistic :

-3 / √0.7171556

Test statistic = - 3.542

Using α = 0.01

The critical value Zα/2 ; Z0.01/2 = 2.58

Decison region :

Reject H0 : if Test statistic < Zcritical

Reject H0 : - 3.542 < - 2.58

You might be interested in
Tangent line i think please help me find x
Alex

Answer:

x= 6.5 cm

Step-by-step explanation:

When a tangent line touches the circle, it forms a right angle triangle at that point

Apply the Pythagorean relationship in this case

Given that the height is = 20.2 cm = b

The hypotenuse is = c= x+14.7 cm

General formulae is;

a² +b² =c²

x² + 20.2² =( x+ 14.7)²

x² + 408.04= x² +14.7x+14.7x+216.09

x² + 408.04= x² + 29.4 x +216.09.........................collect like terms

x²-x² + 408.04-216.09= 29.4x

191.95= 29.4x-------------------------------divide by 29.4 t0 get x

191.95/29.4 =x

x=6.5 cm

6 0
3 years ago
6=1-b<br><br> b=?<br> D: <br><br> help please
pishuonlain [190]

Hey there! :)

6 = 1 - b

Like I mentioned in my previous answer, we must isolate our variable. In this case, our variable is b.

So, our first step is to subtract 1 from both sides.

6 - 1 = 1 - b - 1

Simplify.

5 = b

Therefore, b = 5

~hope I helped~

4 0
3 years ago
Read 2 more answers
PLZ, HELP WILL GIVE 20 MORE POINTS FOR FREE!!!!!!
GrogVix [38]

Answer:

16x+12

Step-by-step explanation:

4 sides

2*(5x-2 )

10x-4

2(3x+8)

6x+16

10x-4+6x+16=16x+12

7 0
3 years ago
Read 2 more answers
One step equations word problems. I ONLY NEED 3-8!!!!
viva [34]
3: 18
4: 17
5: 561
6: 17
7: 23
:)
5 0
3 years ago
Please help me create a function<br> Correct answer gets brainiest :)
slega [8]
Let y be Justin base pay, w% be commission,
y + w%*600=350-----(1)
y+w%*900= 425-----(2)
From equation (1),
y = 350- w%*600 = 350-6w-------(3)
Substitute equation (3) into (2),
350-6w+9w=425
3w = 425-350= 75
w= 25
y = 350-6w= 350-6(25)= 200
so the function is base pay +25%of merchandise
Final answer is $ (200 + 0.25x)
4 0
3 years ago
Other questions:
  • If 9 is subtracted by a number,and the result is multiplied by 19, the product is 171. Find the number
    13·1 answer
  • Write an explicit formula for the sequence and find the 18th term.<br> 12, 3, 3/4....
    5·2 answers
  • The sun is about 93 million miles from the earth. Express this distance in scientific notation.
    11·1 answer
  • If there are 35 total votes and 5% of people voted for one thing, how many people would be that 5%?
    12·2 answers
  • PLEASE HELP
    14·2 answers
  • Find an expression that is equivalent to this expression:
    11·1 answer
  • Find arc length. (Ignore the pencil mark, NEED ASAP)
    14·1 answer
  • A tennis racquet costing $11.39. If Logan received $5.63 in change, how much money did he give to the cashier? $ Submit Continue
    10·1 answer
  • What is the quotient if 2305÷294
    10·1 answer
  • It costs twelve dollars to get in to the fair. Tickets for rides cost extra and are d dollars each,
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!