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]
3 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]3 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
How do I solve this? PLEASE HELP TIME LIMIT
katrin [286]

im not sure how to explain it, but i know its b

6 0
3 years ago
I am half way between two consecutive numbers. The product of the two numbers is 650. what number am I ?
elena-14-01-66 [18.8K]

Answer: 325

650/2=325

6 0
3 years ago
PLEASE HELP ILL GIVE BRAINLIEST
gogolik [260]

Answer:

3/4 i believe

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How many times can 2 go into 26
Luba_88 [7]
The answer is 13. 13 times
6 0
3 years ago
Read 2 more answers
Find the quotient.<br><br> n7 divided by n3
bogdanovich [222]
The answer is n^4. This is calculated by just subtracting the exponents. Hope this was what you were asking.
8 0
3 years ago
Other questions:
  • Select all the pairs that are alternate interior angles​
    15·1 answer
  • A flying cannonball’s height is described by formula y=−16t^2+300t. Find the highest point of its trajectory. In how many second
    12·1 answer
  • Which inequality can be used to represent this problem? A company spent $15,000 developing a new graffiti repelling paint. The c
    13·1 answer
  • A​ person's blood pressure is monitored by taking 3 readings daily. The probability distribution of his reading had a mean of 13
    8·1 answer
  • 10. In rolling 3 dice, are the events A: Sum divisible by 3 and B: Sum divisible by 5 mutually exclusive?
    6·1 answer
  • A painting crew bought 30 gal of paint for a job. The crew members used 3 gal of paint per hour until they used all the paint.
    8·1 answer
  • Please help me on this ​
    11·2 answers
  • A rectangle measures 12cm by 4cm.<br> What is its area?
    14·1 answer
  • A fashion designer wants to know how many new dresses women buy each year. A sample of 683 women was taken to study their purcha
    8·1 answer
  • Ernest's grandma bought a package of socks for christmas that 40% of regular price. the amount of the discount was $6. What was
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!