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
Stells [14]
2 years ago
15

The average score of all high school students in math and science is 150 with a standard deviation of 25. A random sample of 125

students in a district shows an average score of 158. At 95%, is the difference significant? Follow the five-step one-sample test and write your conclusion.
Mathematics
1 answer:
Evgesh-ka [11]2 years ago
7 0

Answer:

The difference is significative we reject H₀

Step-by-step explanation:

Normal Distribution

Population mean            X₁    =  150

Population standard deviation       σ  =  25

Sample size        n   =  125

Sample mean     X₂   =  158

1.-CI =  95 %   significance level    α  =  5%    α = 0,05

From z-table α = 0,05    z(c)  =   1,64    ( the test is one-tail test to the right)

2.-Hypothesis Test

Null Hypothesis                                    H₀        X₂  =  X₁

Alternative Hypothesis                        Hₐ        X₂  >  X₁

3.-To compute z(s)

z(s)  =  ( X₂  -  X₁ ) / σ/√n

z(s)  =    8 * 11,14 /25

z(s)  =  89,12/25

z(s)  = 3,56

4.- Comparing  z(s)  and z(c)

z(s)  > z(c)

Then z(s) is in the rejection region we reject H₀

You might be interested in
A pair of shoes usually sells for $57. If the shoes are 20% off, and sales tax is 6%, what is the total price of the shoes, incl
34kurt
I comes out to be C, $48.34
8 0
3 years ago
PLEASE help me and PLEASE show the work PLEASE.
Dafna1 [17]

20(4×-2)

________

(4 - (-2))²

simplified;

20(-8)

_____

(6)²

simplified;

-160

______

36

simplified;

-4 16/36

simplified;

-4 4/9


3 0
2 years ago
Find the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years
sukhopar [10]

The simple interest accrued is = $750

<h3>Calculation of simple interest</h3>

The principal amount of the loan = $7500

The rate at which the interest is paid is = 2.5%

The time that it will take to pay the interest = 4 years

Using the formula for Simple interest;

SI= P×T×R/100

SI = 7500×4 × 2.5/100

SI= 75000/100

SI=$750

Therefore, the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years is = $750

Learn more about simple interest here:

brainly.com/question/20690803

#SPJ1

4 0
1 year ago
Morgan's electronic car has a speed of 35.2 feet per second. How fast can the car travel in miles per hour?
ale4655 [162]

Answer:

2112 minutes OR 126720 Seconds

Step-by-step explanation:

35.2 = 1

? = 3600

I hope this helps

7 0
2 years ago
X-31=46 explain how u got it plz i need help
mrs_skeptik [129]

Answer:

x=77

Step-by-step explanation:

77-31=46

8 0
2 years ago
Read 2 more answers
Other questions:
  • Help please :( !! i don’t understand:/
    12·1 answer
  • Caitlin has a $10 gift certificate to the music store. she has chosen a number of cd's from the $7 bargain bin. if the cost of t
    12·2 answers
  • Write an equation of the line that passes through (2,-4) and (0,-4)
    5·1 answer
  • Oprs]
    7·1 answer
  • What’s the answer to this math problem?v
    11·2 answers
  • In 1997, how many more liters of paint did home paint jobs use than commercial paint jobs? I really did not understand it.
    15·1 answer
  • you are adding two rational numbers with different signs. how can u tell if the sum will be positive,negative,zero
    9·1 answer
  • Help!!! 10 PTS!!
    7·1 answer
  • It rained on exactly 7 of the days during Jane's trip. On each day that it rained, it rained either in the morning or in the aft
    8·1 answer
  • What is the value of x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!