Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01.
(a) x = 54 and s = 5.3 Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
State your conclusion.
(b) x = 53 and s = 4.6
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
(c) x = 56 and s = 5.0
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Answer:
Step-by-step explanation:
Given that:
[tex]H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55[/tex]
(a) For x = 54 and s = 5.3
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{-1}{\dfrac{5.3}{6} }[/tex]
Z = -1.132
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(-1.132,35,1) = 0.1326
Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]
[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]
b
For x = 53 and s = 4.6
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{-2}{\dfrac{4.6}{6} }[/tex]
Z = -2.6087
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(-2.6087,35,1) =0.0066
Decision: p-value is < significance level; we reject the null hypothesis.
[tex]Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that[/tex] [tex]\mu < 55[/tex]
c)
For x = 56 and s = 5.0
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]
Z = 1.2
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(1.2,35,1) = 0.88009
Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]
[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]
A call center requires every employee to make 280 calls each week. Employees work 5 days a week.
How many calls should an employee make each day to meet the requirement if they make the same number of calls each day?
40
56
60
1,400
1,500
40 people can sit in four cabs. How many people can sit in 19 such cabs? *
Answer:
Step-by-step explanation:
190 ppl
40 ppl per 4 cab
10 ppl per cab
10 times 19 cabs = total of ppl
Kevin wrote the inequality shown below, but his teacher marked it incorrect. What can Kevin change to make the inequality true?
Answer:
10
Step-by-step explanation:
I NEED HELP!!! Due tonight! I need the answer and how to solve it!
Answer:
a) m<BAC=37°
b) AC=44
Step-by-step explanation:
A) m<BAC=180-71-45-27=37°
B) 2(2x+2)=5x-3
4x+4=5x-3
7=x
AE=2(4x-6)
8x-12
8(7)-12
56-12
44
The longer l watch the television, the higher the electric consumption I have. Which
variable is independent?
A Time spent watching TV
B Electric consumption
C. Brand of TV
D. Family members
Answer:
it will be A
Step-by-step explanation:
I am sure search ok thank u
If v = 1, find
answer pls
Answer:
0
Step-by-step explanation:
substitute 1 for v
2(1)^3 - 1^2 + 3(1) - 4
2 - 1 + 3 - 4
1 + -1
0
Answer:
0
Step-by-step explanation:
Substitute (1) for every time (V) appears.
2(1)^3 - (1)^2 + 3(1) - 4 = 2 - 1 + 3 - 4
2 - 1 + 3 - 4 = 0
A triangle with side lengths of 15, 18, and 25 is a right triangle. True or False
Mary took a test and
answerd 12 questions
in 30 minutes. At this
rate, how many
questions can she
expect to answer in
150 minutes?
Answer: Mary can expect to answer 60 questions in a 150 minutes
Step-by-step explanation:
150 divided by 30 = 5
5 x 12 = 60
what's the opposite of (-8h+2)
Answer:
2-8h
Hope this helped.
solve for x, will give brainliest
Length of time for a shower and the amount of water used
A. Positive association
B. Negative association
C. No association
Answer:
A. Positive association
Step-by-step explanation:
Positive association means as one factor increases, the other does as well.
The more time you shower, the more water you use.
The points (28,36) and (29, 31) fall on a particular line. What is its equation in slope-intercept form?
Answer:
y=-5x+176
Step-by-step explanation:
Write an algebraic equation showing that the two points equal each other and then evaluate it.
16 is 4670 of what number ?
Helppp
Answer:
16
Step-by-step explanation:
Hope this helps sorry if I'm wrong
Answer:
291.875
Step-by-step explanation:
16 x 291.875= 4670
solving the systems of linear equations by substitution.
x+2y=6
5x+2y=18
What are the dimensions of the original rectangle?
O 5 feet by 1 foot.
O 5 feet by 6 feet.
O 25 feet by 1 foot.
O 180 feet by 36 feet.
PLZ HELP FAST
Answer:
5 feet by 1 foot
took the unit test on edge
Answer:
5 by 1
Step-by-step explanation:
you have approximately 1/4 of tank of gas.your tank holds 20 gallons.how much gas do you have left? if you plan to fill the tank,how many gallons will you purchase? if gas cost $21/2 per gallon,how much will it cost you to fill up
Step-by-step explanation:
if you have a quarter tank then what is empty is 15 gallons because 20*3/4=15
you now need to fill up the 15 gallons, if each gallon is 21/2 dollars then 15*21/2 should give us a price. 21/2=10.5
15 gallons*10.5 dollars=$157.5 for the final price
Please help me for brainliest.
Simplify the expression. Write the answer in scientific notation.
(0.2 x 104) (4x10-8)
!pls pls pls!
Answer: 83.2
x
11
−
166.4
x
Step-by-step explanation: Multiply
104
by
0.2
.
20.8
x
(
4
x
10
−
8
)
Apply the distributive property.
20.8
x
(
4
x
10
)
+
20.8
x
⋅
−
8
Simplify the expression.
Jordan mixed together 9 gal. of Brand A fruit drink and 8 gal. of Brand B fruit drink which contains 48% fruit juice. Find the juice in Brand A If the mixture contained 30% fruit juice.
Answer:
Step-by-step explanation:
You do this by figuring out the amounts of pure fruit juice in all.
Explanation:
Mixture:
17 gal 30% contains:
17
⋅
30
100
=
5.10
gal pure juice
From Brand B:
8 gal 48% contains:
8
⋅
48
100
=
3.84
gal pure juice
So
5.10
−
3.84
=
1.26
gal came from 9 gal of brand A
So the percentage of A is:
1.26
9
⋅
100
=
14
%
pure juice.
Mark brainliest if this answer is correct please
(IF CORRECT I WILL MARK YOU BRAINLYIEST The stem and leaf plot below shows the prices of cars and vans at a dealership, in thousands of dollars. What is the difference between the range of the van prices and the range of the car prices?
A.) $6,000
B.) $7,000
C.) $4,000
D.) $5,000
Answer:
The answer is C.) $4,000
A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x <10 represent the situation.
Which best explains the number of possible solutions to the inequality?
There is one solution because 9 is the only number between 8 and 10.
There are a three solutions because 8, 9, and 10 are possible solutions.
There are a few solutions because there are some fractions and decimals between 8 and 10.
There are infinite solutions because there is always another number between any two numbers.
Answer:
There are infinite solutions because there is always another number between any two numbers.
Step-by-step explanation:
Help pls thank you very much thank veryyy much
Answer:
I think it is A
whats a reason why the emperors of rome didnt like jesus?
Answer: because they didn't believe that he really could perform miracles
Step-by-step explanation: I'm a christian
PLEASE answer this question
Answer:
85°
Step-by-step explanation:
Just subtract 50 from 135.
135 - 50 = 85
giving alot of points
Answer:
x < -50
Step-by-step explanation:
Answer:
x < -50
Step-by-step explanation:
What is the quotient of 33.288 and 7.6?
Answer:
219/50 or 4.38
Step-by-step explanation:
divide
Which phrase describes the variable expression z+ 8?
A. The product of 8 and z
B. z decreased by 8
C. The quotient of 8 and z
D. z increased by 8
Answer:
D
Step-by-step explanation:
In math increased means that you are adding.
Have a good day and a good rest of your week!
que multiplicacion me da 11
Answer: 11 times 1
Step-by-step explanation:
Answer: 11 por 1
Step-by-step explanation:
Solve the system of equations by the substitution method.
x = 3y -4
5x - 2y = 19
Answer:
g
Step-by-step explanation: