. To test H0: m = 105 versus H1: m ≠ 105, a simple random sample of size n = 35 is obtained. (a) Does the population have to be normally distributed to test this hypothesis by using the methods presented in this section? Why? (b) If x = 101.9 and s = 5.9, compute the test statistic. (c) Draw a t-distribution with the area that represents the P-value shaded. (d) Approximate and interpret the P-value. (e) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, will the researcher reject the null hypothesis? Why?
Answer:
A.) No
B.) test statistic = - 3.108
Check explanation
Step-by-step explanation:
H0: m = 105 versus H1: m ≠ 105
Sample size, n = 35, since we have a large sample size, greater than 30.
B.)
xbar = 101.9 ; s = 5.9
Test statistic :
T = (xbar - μ) ÷ (s/√n)
T = (101.9 - 105) / (5.9/√35)
T = - 3.1 / 0.9972820
Test statistic = - 3.11
Pvalue from Tstatistic, df = 34
Pvalue = 0.003772( Pvalue calculator)
Pvalue is the probability of obtaining a value more extreme or exactly that of the test statistic.
At α = 0.01
Pvalue < α ; We fail to reject the Null
Write impossible, unlikely, as likely as not, likely, or certain. Then, tell whether the probability is 0,close to 0, 1/2, close to 1, or 1 Picking a red marble from 4 white marbles and 7 green marbles
Answer:
Step-by-step explanation:
After multiplying both the numerators and the denominators, it's time to simplify or
reduce your product.
Example: 2/5x3/4 = 6/20.
The greatest common factor of 6 and 20 is 2. We divide the top and bottom by 2, which
simplifies to 3/10.
What is the reduced product of 2/3 x 5/8?
A
10/24
B
5/12
С
1/2
D
10/12
Answer: The answer is B, 5/12.
hope this helped :)
Answer:
B. 5/12
Step-by-step explanation:
2/3 x 5/8 = 10/24
The greatest common factor of 10 and 24 is 2.
Since the GCF is 2,
We divide the numerator and denominator by 2 and get 5/12.
Therefore, the simplified fraction of 10/24 is 5/12.
determine whether the given ordered pair is a solution to the system of equations. 6x-2y=24 -3x+3y=24 and (10,18) yes, it is a solution no, it is not a solution
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What is the formula of the surface area solved for r?
Answer:
Option CStep-by-step explanation:
It is the correct answer I explained in your next question
50 POINTS PLEASE HELP!!! Use the formula Circumference = 2nr, where r is the radius and a is 3. 14, to answer the question.
3.0 cm
What is the approximate circumference of the circle?
A 6.00 cm
B. 9.42 cm
C 18.84 cm
D 37.68 cm
Answer:
This one is easy I did this one before its A
Answer:
the answer is c
you times the radius with the 2 and the pi
Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee at local fast food restaurants. Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg. If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result
Answer:
We would have to take a sample of 62 to achieve this result.
Step-by-step explanation:
Confidence level of 95%.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.
This means that [tex]\sigma = 2[/tex]
If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?
We would need a sample of n.
n is found when [tex]M = 0.5[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.5 = 1.96\frac{2}{\sqrt{n}}[/tex]
[tex]0.5\sqrt{n} = 2*1.96[/tex]
Dividing both sides by 0.5
[tex]\sqrt{n} = 4*1.96[/tex]
[tex](\sqrt{n})^2 = (4*1.96)^2[/tex]
[tex]n = 61.5[/tex]
Rounding up
We would have to take a sample of 62 to achieve this result.
What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 17 meters, and a length of 13 meters?
Answer: 3084
Step-by-step explanation: 14•17=238 238•13=3084
Answer:
3094
Step-by-step explanation:
l=13 w=17 h=14
v = L W H
V= ( 13 ) ( 17 ) ( 14 )
V= 3094 meters 3
Your Solution:
V= 3094
PLEASE HELP !! ILL GIVE BRAINLIEST !!
"Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line."
YXZ and TUS
There are
13
students in a class of
30
who play rugby.
Write this proportion as a percentage.
Give your answer correct to 1 decimal place.
PLSSS SOMEONE HELP
Answer:
i think it might be 0.43
Step-by-step explanation:
Just divide 13/30 and it should you you that proportion as a percentage I think! Sorry if I might've given you the wrong answer but just trynna help!
have a nice day
Answer:
43.3% of the students play rugby.
Step-by-step explanation:
13/30 = 0.43333
0.43333*100 = 43.33%
Have a nice day!
and can I maybe have brainliest? Thanks!
Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate not a real number.
Answer:
Hi how are you doing today Jasmine
Laurie is working on a carpentry project. She has n feet of wood. While working, she realized that she needs 1/4
more wood than she currently has. Which expressions represent the total amount of wood she needs for her project? Select all that apply.)
A.n+1/4
B.5/4n
C.1/4n
D.5/4+n
E.n+1/4n
Answer:
E because if she needs 1/4 more than what she already has then you have to multiply 1/4 of the wood she already has and add the wood that she already has
Which of the following is not equivalent to 10 divided by 80
10/80
80/10
80 divided by 10
8
A cone has a height of 10.3 inches and a radius of
3 inches.
What is the volume in terms of it?
20. 6n in
30.91 in
64. 6841 in
0 97.0261 in
someone answer this please
Answer:
b = 33m is the answer
Step-by-step explanation:
a = 44m
b = ?
c = 55m
According to the Pythagoras theorem,
a² + b² = c²
44² + b² = 55²
1936 + b² = 3025
b² = 3025 - 1936
b² = 1089
b = 33m
∴ b = 33m is the length of the missing leg.
A kangaroo hops 2 kilometers in 3 minutes. At this rate, the kangaroo will travel kilometers in 15 minutes.
Answer:
the kangaroo will travel 10 kilometers
Step-by-step explanation:
15/3=5
5×2=10
Answer:
10
Step-by-step explanation:
We can use the ratio:
3:2
15:?
15/3 is 5
2*5 is 10.
What is the value of (5)3?
Answer:
15
Step-by-step explanation:
This is simply just 5 x 3 = 15
Two dice are tossed. Find the probability of getting the sum of the
dice equal to 4. (Hint: Draw a tree diagram of the possibilities of
two tosses of a die, and then find the sum of the numbers on
each branch.)
Answer:
3/36 -> 1/12 or 2/36 -> 1/18
Step-by-step explanation:
1+3, 2+2, 3+1 or 1+3, 2+2, no tree diagram needed
n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The experimental group takes a vitamin C tablet daily, while the control group takes a placebo. At the end of the experiment, the researchers calculate the difference between the percentage of subjects in the two groups who were free of colds. This difference is statistically significant (P=0.03) in favor of the vitamin C group.
Answer:
Step-by-step explanation:
The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.
Null hypothesis: Vitamin C has no effect on preventing colds.
Alternative hypothesis: Vitamin C has a strong effect on preventing colds.
Assuming, significance level = 0.05
Since the p-value for the difference is 0.03 which is less than 0.05.
Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).
As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.
This recipe makes 6 portions of fajitas.
Carly has 900 g of chicken, 1200 g of peppers, 150 g of onion, 60 g of spice mix and 30 tortillas.
How much more of each ingredient will she need to make 18 portions by following this recipe?
Recipe: Serves 6
500 g chicken
600 g peppers
90 g onion
25 g spice mix
12 tortillas
Answer:
She needs:
600 g chicken
600 g peppers
120 g onion
15 g spice mix
6 tortillas
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
Here are some points. What is 2/5 out of twenty?
Answer:
8
Step-by-step explanation:
You just need to multiply 20 by 2/5
Or, multiply 20 by 2, then divide by 5.
20 x 2/5
40/5
8
2/5 of 20 = 40/5 or simply, 8.
Have a great day!
The radius of a circle is 2.9 in. Find the circumference to the nearest tenth.
Answer:
[tex] \bf \large 20 \: inches [/tex]
Step-by-step explanation:
Given that :The radius of a circle is 2.9 in.to find :Find the circumference to the nearest tenth.formulas used :circumference = 2 × π × rwhere,
π = 22/7r = 2•9 inches explanation :⟼ c = 2πr
⟼ c = 2 × 22/7 × 2•9 inches
⟼ c = 2 × 3•14 × 2•9 inches
⟼ c = 6•28 × 2•9 inches
⟼ c = 18•21 inches.
Round to the nearest tenth :⟼ c = 18•21 inches
⟼ c = 20 inches
∴ circle circumference is 20 inches .
Brainliest for correct answer asap
Answer:
its the first one. Times the bigger numbers and add the indices. so it 16^7
Answer: A 16(7)
Step-by-step explanation:
First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.
Kate asked her friend what her favorite class at school is  how could she changed her questioning so that she can collect statistical data
Answer:
If Kate is trying to ask multiple people, Making a bar graph would be smart in order to know how much people liked what.
Step-by-step explanation:
Kate could ask all of the sixth grade students what their favorite class is.
What is a Statistical Data?Statistical data is defined as the data which are collected and interpreted in statistics.
These data are the information about something.
Given that,
Kate asked her friend what her favorite class at school is.
In order for her to collect statistical data, there must be more data related to the same question.
Then she can interpret the data with a conclusion.
So, she has to ask more people the same question that she asked with her friend.
So she could ask all of the sixth grade students what their favorite class is.
Hence the question can be changed as Kate could ask all of the sixth grade students what their favorite class is.
Learn more about Statistical Data here :
https://brainly.com/question/15376794
#SPJ2
Sophie needs to determine the amount of water that will fit into her new vase, shown below.
Which combination of geometric shapes can she use to best estimate the vase's volume?
A cone and a hemisphere
A cylinder and a sphere
A truncated cone and a sphere
A truncated pyramid and a hemisphere
Answer:A truncated cone and a sphere
Step-by-step explanation:
I just did it.
The combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.
Sophie needs to determine the amount of water that will fit into her new vase, as shown below.
What is the volume?
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
We have to determine the combination of geometric shapes can she use to best estimate the vase's volume.
Therefore the combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.
To learn more about the volume visit:
https://brainly.com/question/1972490
#SPJ2
Points R, S, T, and U lie on circle O.
R
S
o
U
© 2016 StrongMind Created using GeoGebra.
In circle 0. ZROSTOU, RS = 12x + 4 and TU=112 + 15.
What is the length of TU?
Answer:
136
Step-by-step explanation:
12x + 4 = 11x + 15 {Subtract 11x from both sides.}
(12x - 11x) + 4 = 15
x + 4 = 15 {Subtract 4 from both sides.}
x = 15 - 4
x = 11
Now, SUBSTITUTE 11 for x in 11x + 15.
11(11) + 15
121 + 15
136 units
The length of line TU is 136 units.
find the expression as the cosine of an angle
cos pi/4 cos pi/9 - sin pi/4 sin pi/9
Answer: cos(13pi/36)
Step-by-step explanation: just did the assignment
A circular grade has a circumference of 38 yards .Lars is digging a straight line along the diameter of the garden at a rate of 3 yards.How many hours will it take to dig acceso the garden?
Answer:
It will take 4 hours to dig access to the garden.
Step-by-step explanation:
Given that a circular grade has a circumference of 38 yards, and Lars is digging a straight line along the diameter of the garden at a rate of 3 yards, to determine how many hours it will take to dig access to the garden, the following calculation, knowing that the diameter of a circle is equal to the circumference divided by π:
38 / π = X
38 / 3.14 = X
12.09 = X
12.09 / 3 = 4.03
Therefore, it will take 4 hours to dig access to the garden.
help me with all these questions please
usa a caucula ciêntifica
Solve the equation. 2cos2(x+30°)=1 for 0°≤x≤360°
2*[tex]cos(x+30)^{2}[/tex]=1
x = 15