MATHEMATICS MIDDLE SCHOOL

Rory suspects that teachers in his school district have less than 5 yearſ of experience on average. Hedecided to test Ha :u= 5 versus H : u < 5 using a sample of 25 teachers. His sample mean was 4
years and his sample standard deviation was 2 years.

Answers

Answer 1
Answer:

The statement is true that the teacher in Rory school have less than five years of experience on average.

Statistics

According to the question,

Sample mean, \bar x = 4

Standard deviation, s = 2

Sample number of teachers, n = 25

Test:

H_a : μ = 5

H_0 : μ < 5

We know the formula,

→ t = (x- \mu)/((s)/(√(n) ) )

By substituting the values,

    = (4- 5)/((2)/(√(25) ) )

    = -2.5

Now, the degree of freedom be:

= n - 1

= 25 - 1

= 24

By using t-table,

t_{df,(\alpha)/(2) } = t_{24,(0.05)/(2) }

       = 2.064

We can say that t_(critical) > t_(calculated)

Thus the response above is correct.

Find out more information about standard deviation here:

brainly.com/question/19243813
Answer 2
Answer:

Answer:

Teachers in his school district have less than 5 yearſ of experience on average is true.

Step-by-step explanation:

Sample mean = \bar{x}=4

Sample standard deviation = s = 2

We are supposed to to test Ha :u= 5 versus H : u < 5 using a sample of 25 teachers

H_a:\mu=5\nH_0:\mu < 5

n = 25

Since n<30 and population standard deviation is unknown

So, we will use t test

Formula : t=(x-\mu)/((s)/(√(n)))

t=(4-5)/((2)/(√(25)))

t=-2.5

\alpha = 0.05

Degree of freedom = n-1 = 25-1 = 24

Refer the t table

t_{df,(\alpha)/(2)}=t_{24,(0.05)/(2)}=2.064

t critical > t calculated

So, We are failed to reject null hypothesis

So,  teachers in his school district have less than 5 yearſ of experience on average is true.

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Answers

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Answers

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How can a mixed number be written as a sum ? ·ω·

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Answers

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The number two in the expression 5 + 2x is called the coefficient of x how does changing the coefficient to 6 change the meaning of the expression

Answers

Changing the coefficient of x to 6 changes the meaning of expression as 5 is added to 6 times x

Solution:

Given that number 2 in the expression 5 + 2x is called the coefficient of x

We are asked to find what happens when changing the coefficient to 6 change the meaning of the expression

In the expression,

5 + 2x

This means 5 is added to 2 times x or 5 is added to twice of x

Number 2 is called coefficient of x

When we change this coefficient to 6, the expression becomes,

5 + 6x

So now the meaning of expression becomes,

5 is added to 6 times x

So changing the coefficient of x changes the meaning of expression

Answer:

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