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
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>

You might be interested in
The cost of renting a jumping castle includes a fixed charge of $325 for setup and delivery, and a variable charge of $175 for e
allochka39001 [22]

Answer:

the range is 5-8 hours

Step-by-step explanation:

325+175t=1200

175t=875

875/175

t=5

325+175t=1725

175t=1400

1400/175

t=8

8 0
3 years ago
He mathematics department of a college has 6 male​ professors, 8 female​ professors, 14 male teaching​ assistants, and 7 female
irinina [24]
Total number of people in the department = 6 + 8 + 14 + 7 = 35
Total males = 6 + 14 = 20
Total female professor = 8
Total males or professor = 20 + 8 = 28

P(\text {male or professor}) =  \dfrac{28}{35} =  \dfrac{4}{5}

\boxed {\boxed {\text {Answer: P(male or professor) = }\dfrac{4}{5} }}
3 0
3 years ago
At the kennel, the ratio of cats to dogs is 4:5. There are 27 animals in all.
SpyIntel [72]

Answer:

I don't know how to answer the first question

There are 15 dogs in the kennel

There are 12 cats in the kennel

Explanation:

If there is a 4 to 5 ratio then

12 cats to 15 dogs is linear

3 0
3 years ago
Find the absolute value of 16
myrzilka [38]

Answer:

16

Step-by-step explanation:

Absolute value always means positive i.e to remove any negative signs in front of a number.

Since 16 is a simple digit with the  as the positive sign is  invincible.

So, the absolute value of 16 is 16.

5 0
2 years ago
Read 2 more answers
What number best completes both equations
VikaD [51]
15/7 or 2 1/7 (same number but the first one is an improper fraction and the other is a mixed fraction) 
5 0
3 years ago
Other questions:
  • All 3,000 seats in a theater are being replaced so far 5 sections of 136 seats and a sixth section containing 348 seats have bee
    6·1 answer
  • What is the solution to this
    7·1 answer
  • the volume of a rectangular prism can be computed using the formula V=lwh what is the width of a prism that has a volume of 240
    15·1 answer
  • the governor of state a A earns $ 53,390 more than the governor of the state B. if the total of their salaries is $298,980.find
    7·1 answer
  • The height of a triangle is 7 m less than its base. The area of the triangle is 30 m².
    12·2 answers
  • Awnser this please.
    11·2 answers
  • The consumer price index is
    11·1 answer
  • NUMBER 41 FIND THE VALUE OF X
    8·1 answer
  • I need answer not links ​
    14·1 answer
  • Find the total surface area of the cylinder Leave the answer in terms of π. radius 3.5 height 6
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!