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
lina2011 [118]
2 years ago
8

a) The mean age of graduate students at a University is at most 31 y ears with a standard deviation of two years. A random sampl

e of 15 graduate students is taken. The sample mean is 32 years and the sample standard deviation is three years. Are the data significant at the 1% level? The p-value is 0.0264. State the null and alternative hypotheses and interpret the p-value. Write information given with correct symbols. Hypothesis interpret the p-value. b) A bottle of water is labeled as containing 16 fluid ounces of water. You believe it is less than that. What type of test would you use? c) Assume the null hypothesis states that the mean is at most 12. Is this a left-tailed, right-tailed, or two-tailed test? d) What should you do if α = p-value?
Mathematics
1 answer:
kari74 [83]2 years ago
3 0

Answer:

A.)

H0: μ ≤ 31

H1: μ > 31

B.)

H0: μ ≥ 16

H1: μ < 16

C.)

Right tailed test

D.)

If Pvalue is less than or equal to α ; we reject the Null

Step-by-step explanation:

The significance level , α = 0.01

The Pvalue = 0.0264

The decision region :

Reject the null if :

Pvalue < α

0.0264 > 0.01

Since Pvalue is greater than α ; then, we fail to reject the Null ;

Then there is no significant evidence that the mean graduate age is more Than 31.

B.)

H0: μ ≥ 16

H1: μ < 16

Null Fluid contains 16

Alternative hypothesis, fluid contains less than 16

One sample t - test

C.)

Null hypothesis :

H0 : μ ≤ 12

. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.

Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12

d.)

If Pvalue is less than or equal to α ; we reject the Null.

You might be interested in
What is the solution to the system of liner equations shown on the graph?
Valentin [98]

Answer:

C The system has no solution

Step-by-step explanation:

They are parallel lines so there is no solution :).

5 0
3 years ago
Sydney drew segment AC and segment BC to help her use the Pythagorean theorem
kenny6666 [7]

Answer: B

Step-by-step explanation:

The question is asking for you to use the Pythagorean Theorem in order to find the length or line AB.

a^2+b^2=c^2

Since AB is what we are trying to find in this situation it is c. The graphic shown tells us that the length of line CA= (y2-y1) and CB= (x2-x1), these numbers represent a and b in the expression shown above. From here you should implement the information into the equation.

(x^2-x^1)^2+(y2-y1)^2= AB

The next step in finding the product would be to square both sides of the equation. In this case we only need to square the side with the calculation because the variable AB already represents the answer you would calculate. Which leaves us with the answer shown in the image below.

4 0
3 years ago
Solve 5x(x-6)(4x+9)=0
xxTIMURxx [149]
Greetings and Happy Holidays!

Solve 
for x.
5x(x-6)(4x+9)=0<span>

Distribute the parenthesis:
</span>5x(x-6)(4x+9)=0

(5x^2-30x)(4x+9)=0

(20x^3-120x^2)+(45x^2-270x)=0

Combine like terms:
20x^3-75x^2-270x=0

Factor out GCF (5x):
5x(4x^2-15x-54)=0

Factor the Complex Trinomial:
5x(4x^2+9x-24x-54)=0

5x(x(4x+9)-6(4x-9))=0

5x((4x+9)(x-6))=0

Set Factors to Equal 0:
5x=0

x=0

or

4x+9=0

4x=-9

x=\frac{-9}{4}

or

x-6=0

x=6

The Answers Are:
\boxed{x=0} \\ \boxed{x= \frac{-9}{4}} \\ \boxed{x=6}

I hope this helped!
-Benjamin

8 0
2 years ago
Henry runs 7 miles in 60 minutes. at the same rate, how many miles would he run in 24 minutes?​
victus00 [196]

Answer:

2.8 miles

Step-by-step explanation:

Divide 7 miles by 60=0.11666666666

Multiply it by 24

You would get 2.8

Hope this helped

:)

8 0
3 years ago
Twice the sum of a number and 3 is 20.
tamaranim1 [39]

Answer:

true

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which property makes a rectangle a special type of parallelogram?
    12·2 answers
  • In this geometric sequence, what is the common ratio?
    8·1 answer
  • What is the fraction 15/20 in its simplest form
    13·1 answer
  • Please answer CORRECT ANSWERS ONLY for a brainliest
    14·1 answer
  • Name all of the obtuse angles that share a side with ZVON.
    9·1 answer
  • X divided by 6 is 4. What is Z?
    12·1 answer
  • What is the next number in the pattern <br> 2,4,8,16,32....
    8·2 answers
  • A bicycle wheel has a diameter of 62cm. The wheel makes 80 complete
    7·1 answer
  • Please help!!!!!!!!!​
    15·1 answer
  • GIVING BRAINIEST IF CORRECT!!<br><br> Find rad 45 + rad 18
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!