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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

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In a flower garden, there are 4 tulips for every 9 daisies. If there are 24 tulips, how many daisies are there?
Paul [167]

Answer:

54 daisies

Step-by-step explanation:

4 tulips : 9 daisies

24 tulips : ?

(24 × 9) ÷ 4 = 54 daises

3 0
3 years ago
when gail goes on a hike she always packs a ratio of 20 protien bars to 15 water bottles in her backpack . for a short hike ,gai
dimulka [17.4K]

Answer:

  4 bars

Step-by-step explanation:

Gail's ratio of bars to bottles is ...

  20 : 15 = 4 : 3

For 3 bottles, she should pack 4 bars.

8 0
3 years ago
Four girls have 5.00 to share equally. How much money will each girl get. Explain
Dennis_Churaev [7]

Answer:

Each will get $1.25

Step-by-step explanation:

5.00/4

= $1.25

5 0
3 years ago
Jasmine can run 4 5/6 miles in 2/3 of an hour. how many miles can she run in one hour
Jlenok [28]

Jasmine can run in one hour is 7.25 miles.

<h3>What is the formula of unitary method?</h3>

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Given that,

Jasmine can run 4\frac{5}{6} miles in \frac{2}{3} of an hour.

\frac{2}{3} of an hour = 4\frac{5}{6} miles

                     = \frac{29}{6} miles

By using unitary method we will find the value of an hour.

1 hour = \frac{\frac{29}{6} }{\frac{2}{3} }

          =  \frac{29}{6} × \frac{3}{2}

          = \frac{29}{4}

1 hour  = 7.25 miles

Hence, Jasmine can run in one hour is 7.25 miles.

To learn more about unitary method from the given link:

brainly.com/question/10673687

#SPJ4

5 0
1 year ago
The HCF of two numbers is 11, and their L.C.M is 368. If one number is 64, then the other
GaryK [48]
Erm 11 isn’t a factor of 64..?
6 0
3 years ago
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