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damaskus [11]
3 years ago
12

A test is made of H subscript 0 colon space mu space equals space 43 space space v e r s u s space space H subscript 1 colon spa

ce mu space greater than space 43. A sample of size n equals 76 is drawn, and the sample mean is 47. The population standard deviation is 25. Compute the value of the test statistic and determine if the H subscript 0 is rejected at the alpha equals 0.05 level.
Mathematics
1 answer:
sweet [91]3 years ago
4 0

Answer:

The calculated value Z = 1.39 <1.96 at 0.05 level of significance

The null hypothesis is accepted

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 43

Given that the mean of the sample = 47

Given that the standard deviation of the Population = 25

Given that the sample size 'n' = 76

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:H₀: μ = 43</em></u>

<u><em>Alternative Hypothesis: H₁: μ ≠ 43</em></u>

Test statistic

           Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

          Z = \frac{47-43 }{\frac{25}{\sqrt{76} } }

          Z = 1.39

Level of significance = 0.05

The critical value = 1.96

<u><em>Final answer:-</em></u>

<em>The calculated value Z = 1.39 <1.96 at 0.05 level of significance</em>

<em>The null hypothesis is accepted </em>

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Help (look at picture)
mote1985 [20]

Answer:

x is greater than or equal to -5 (the second graph)

Step-by-step explanation:

-5c+2<=27

-5x<=25

x>=-5

8 0
3 years ago
What is the Greatest Common Factor of the two monomials?<br> 15a²b, 35ab2
m_a_m_a [10]

Answer:

5ab

Step-by-step explanation:

To find the greatest common factor (GCF), you will need to find the largest value that both of these monomials can be divided by. There are three different parts to these monomials: the number value, variable a, and variable b.

Find the largest number of each element that can be divided by both.

Numbers: the GCF of 15 and 35 is 5 (15/5 = 3, 35/5 = 7, 3 and 7 are prime numbers and therefore, cannot be divided further)

Variable a: the GCF of a² and a is a

Variable b: the GCF of b and b² is b

Therefore, the GCF is 5ab.

8 0
3 years ago
The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 4. Approximately what
harkovskaia [24]

Answer:

78.88%

Step-by-step explanation:

We have been given that

\mu=25,\sigma=4,x_1=20,x_2=30

The z-score formula is given by

z-\text{score}=\frac{x-\mu}{\sigma}

For x_1=20

z_1=\frac{20-25}{4}\\\\z_1=-1.25

For x_2=30

z_2=\frac{30-25}{4}\\\\z_2=1.25

Now, we find the corresponding probability from the standard z score table.

For the z score -1.25, we have the probability 0.1056

For the z score 1.25, we have the probability 0.8944

Therefore, the percent of the trees that are between 20 and 30 years old is given by

0.8944 - 0.1056

= 0.7888

=78.88%

6 0
3 years ago
Read 2 more answers
The drawing plan for an art studio shows a rectangle that is 19.2 inches by 8
vazorg [7]

Answer:

24 ft by 10 ft

240 ft

Step-by-step explanation:

19.2/4 = 4.8

4.8 · 5 = 24

8/4 = 2

2 · 5 = 10

4 0
3 years ago
A contemporary building has a window in the shape of a parallelogram with a base of 90 in and an adjacent side of 40 in. How man
BaLLatris [955]

260 inches of trim are needed to surround the​ window.

<h3 /><h3>What is the surface area?</h3>

The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.

Actually, all we need is a trim that is the same size as our window and equal to the parallelogram's circumference, which is

The sum of the side is;

⇒Length of lower side + Length of the upper side

⇒ 90+90

⇒180 inches

The sum of adjacent sides;

Sum of adjacent sides  =  40+40

Sum of adjacent sides  = 80 inches

The length you should trim is needed to surround the​ window is found as;

⇒ 180 inches + 80 inches

⇒260 inches

Hence,260 inches of trim are needed to surround the​ window.

To learn more about the surface area, refer to the link;

brainly.com/question/2835293

#SPJ1

7 0
2 years ago
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