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 space 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.

Answers

Answer 1

Answer:

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

The null hypothesis is accepted

Step-by-step explanation:

Step(i):-

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

Step(ii):-

Null hypothesis:H₀: μ = 43

Alternative Hypothesis: H₁: μ ≠ 43

Test statistic

           [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

          [tex]Z = \frac{47-43 }{\frac{25}{\sqrt{76} } }[/tex]

          Z = 1.39

Level of significance = 0.05

The critical value = 1.96

Final answer:-

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

The null hypothesis is accepted


Related Questions

Six gallons of a salt solution consists of 35% salt. It is the result of mixing a 40% solution with a 30% solution. How many gallons of each of the solutions was used? Let x= the number of gallons of the 40% solution and y= the number of gallons of the 30% solution. The corresponding modeling system is {x+y=60.4x+0.3y=0.35(6). Solve the system by using the method of substitution.

Answers

look her at getmathhelp . com

50 POIINTS!!!
A coin is flipped 20 times. The results are 12 heads and 8 tails. Determine the theoretical probability of getting heads.

60%
40%
20%
50%

SOMEONE PLEASE PUT STEPS TO SOLUTION.

Answers

Answer:

What we have here is experimental probability:   12 heads out of 20 tosses. The fraction 12/20 reduces to  6/10, or 0.60, which corresponds to 60%.

Find the product of

Answers

Look at the file/photo they put!! Very helpful!!

Find the area of the figure

Answers

Answer:

  89 m²

Step-by-step explanation:

It should be no surprise that the area can be found as the difference between the area of the enclosing rectangle and the area of the triangular cutout.

The rectangle area is given by ...

  A = LW

  A = (13 m)(8 m) = 104 m²

The base width of the triangular cutout is 13 m - 4 m - 4 m = 5 m. The area of that cutout is given by ...

  A = 1/2bh

  A = 1/2(5 m)(6 m) = 15 m²

Then the area of the shaded figure is ...

  104 m² -15 m² = 89 m²

Convert Standard Form to Factored Form (SHOW
ALL WORK) (LT 5.6)
j(x)=x²+7X-18

Answers

Answer:

j(x)=a(x+9)(x-2)

j(x)=1(x+9)(x-2) < final answer

Katie make $63.70 babysitting for 6.5 hours how much money does she make per hour

Answers

Answer:$9.8

Step-by-step explanation:

I divided 63.70 by 6.5 and got 9.8 I checked my workers by multiplying 9.8 and 6.5 to get me with 63.70

If you have 8 marbles in the bag (5 blue and 3 green) and you draw 2 with replacement, what is the theoretical probability that both marbles will be green?
a.
14%
c.
23%
b.
20%
d.
39%

Answers

Answer:

d.39%

Step-by-step explanation:

Loki told me

But really, 39% should be correct

4. A rectangular prism has a length of 5 inches and a width of 3 inches. If
the volume of the rectangular prism is 45 cubic inches, what is the height
of the prism?​

Answers

Answer:

height 3 inches

Step-by-step explanation:

h = V/LW = 45/3x5 = 3 inches

What is the area, in square feet, of the deck?

Answers

Answer:

42 square feet.

Step-by-step explanation:

Anyone know the answer to this question?

Answers

Answer:

[tex]c \: is \: correct \\ {( x - 7)}^{2} + {(y + 1) }^{2} = 41[/tex]

PEMDAS Which one in the equation goes first?

Answers

Answer:

A

Step-by-step explanation:

A because the first letter in PEMDAS is P, which is parenthesis.

Answer:

The Parenthesis

Step-by-step explanation:

these (    )

Can u help me on this(no links)

Answers

Answer:

B. 61 1/2

Step-by-step explanation:

plss markk me blainliest

Convert the fraction 6/10 to a decimal.

Answers

Answer:

0.60

Step-by-step explanation:

Answer:

.60

Step-by-step explanation:

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

Step-by-step explanation:

Let a=x+2 and b=x+6

The area of a rectangle is given by

A=a*b

So

[tex](x + 2) \times (x + 6) = {x}^{2} + 8x + 12[/tex]

Answer:

A = x² + 8x + 12

Step-by-step explanation:

Area of a rectangle:

A = bh

A = (x + 6)(x + 2)

A = x² + 2x + 6x + 12

A = x² + 8x + 12

Name the number that is 4 units
to the left of the number 1 on the number line. ​

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3 (negative three)

Step-by-step explanation:

when you move to the left you SUBTRACT

when you move to the right you ADD

So for this...

4-1

answer:

-3

PLEASE HURRYLO
giving brainliest
Rachel ran 5 miles every day last week. Her running time was as follows: 39min, 42 min, 41 min, 38 min, 39 min, 39min, 42min. What was her mean running time for 7 miles?

Answers

Answer:

mean = 39+ 42+41+38+39+39+42/7= 244

please help this is Due!!

Answers

Answer:

c=6d

Step-by-step explanation:

Hi good morning just need help this is just a warmup not a test or anything like that.​

Answers

Answer:

75.2in = 191.008cm

Answer:

191.008cm

Step-by-step explanation:

75.2 inches =191.008cm

What is the area of the trapezoid below?

Answers

Answer:

Area 684 m squared

Step-by-step explanation:

26 + 46 = 72

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36 x 19 = 684

Hope this helps!

Evaluate 2x – 5y for x = 3 and y = –9.

Answers

Answer:

-2 or 2 i cant find the hole thing

Step-by-step explanation:

What is the formula for circumference of a circle given the radius?

Answers

Answer:

formula for circumference of circle is 2πr

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Step-by-step explanation:

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16​

Answers

Answer:

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Step-by-step explanation:

12/16

divide both by 4

if thats even what what you needed

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A. Photography

B. Mood

C. color

D. Perspective


Please help me answer this

Answers

Answer:

A. Photography. I couldn't say this is in mathematics but okay :)

Given the following table of values for f(x), find f(2).

x −1 0 1 2 3 9
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Answers

The value of the function at x = 2 will be 5.

What is a function?

A function is a statement, tenet, or rule that establishes a connection between two variables. Mathematics is replete with functions, which are necessary for the construction of intricate relationships.

The result of the calculation that the mathematical model depicts is the expression's result when the necessary parameters and natural laws are given values.

The table represents a function.

x     f(x)

-1     5

0     10

2     8

9     14

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More about the function link is given below.

brainly.com/question/5245372

#SPJ2

To reach her summer reading goal, Elisa has to read at least 30 books. The inequality b ≥ 30 represents the number of books she needs to read. Which of the following is the solution to this inequality?

Answers

Answer:

hii

have a good day for you!

Which number is irrational

Answers

Answer:

the answer is ((((B))))

hope it helps❤

Answer:

B

Step-by-step explanation:

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Please please help me out

Answers

Answer:

a) A = p(1 + r)^t

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Suppose 12% of students surveyed said they have tried riding a zip line.

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Answers

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Answers

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Step-by-step explanation:

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Answers

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10 units.

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