Answer:
At 10 percent significance level, there is not enough statistical evidence to suggest that there is a difference between mean
a. The decision rule for 5% level of confidence is;
For test statistic is less than 2.306 we fail to reject the null hypothesis
For a test statistic larger than 2.306 we reject the null hypothesis
b. The test statistic is approximately -1.2008
Step-by-step explanation:
The given data are;
No; 1, 2, 3, 4, 5
East Side Shop; 548, 493, 609, 567, 432
West Side Shop; 523, 721, 695, 510, 532
Therefore, we have;
The mean for the East Side Shop, [tex]\overline x_1[/tex] = 529.8
The standard deviation for the East Side Shop, s₁ = 68.751
The mean for the West Side Shop, [tex]\overline x_2[/tex] = 596.2
The standard deviation for the West Side Shop, s₂ = 102.7701
[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]
Therefore, we have;
The null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0
[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]
At degrees of freedom, df = n₁ + n₂ - 2 = 8, we have the critical-t = 1.895
Given that the critical-t is more than test statistic, we do not reject the null hypothesis, therefore, there is not enough statistical evidence to suggest that there is a difference between mean
Required;
a. At 5% level, we have critical-t = 2.306
Therefore, the decision rule for 5% level of confidence is that we fail to reject the null hypothesis when the magnitude of the test statistic is less than 2.306 and we reject the null hypothesis for a test statistic larger than 2.306
b. The test statistic is given as follows;
[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]
[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]
Write an equation of the line below.
Answer (assuming it can be in slope-intercept form):
[tex]y = \frac{4}{5} x[/tex]
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula [tex]m = \frac{y_2-y_1 }{x_2-x_1}[/tex] and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:
[tex]m = \frac{4-0}{5-0} \\m = \frac{4}{5}[/tex]
So, the slope is [tex]\frac{4}{5}[/tex].
2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.
3) Now, write the equation of the line in slope-intercept form using the [tex]y = mx + b[/tex] format. The number in place of [tex]m[/tex] represents the slope, so substitute [tex]\frac{4}{5}[/tex] in its place. The number in place of [tex]b[/tex] represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation:
[tex]y =\frac{4}{5} x+0\\y = \frac{4}{5} x[/tex]
Answer:
y=4/5x
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
In this problem, the slope is 4/5 because m=rise/run.
A book has been discounted by 30%. It is on sale for $22.40. Find the original price.
Use slopes and y-intercepts to determine if the lines −4x+4y=−1 and 4x+4y=−1 are parallel.
Answer:
Nope they are not parallel.
Step-by-step explanation:
first find the slope of each equation.
-4x+4y= -1
4y= 4x -1
y= (4x-1)/4
y=x - 1/4
the other equation
4x +4y = -1
4y= -4x -1
y= (-4x-1)/4
y= -x -1/4
the slope is the number in front of the x so for the first equation, it is 1 and the second equation it is -1. Since they are not the same, they are not parallel but instead is perpendicular. TBH, just stop here as this is more than enough.
How many degrees and in what direction was the figure rotated?
90 degrees counterclockwise
180 degrees
90 degrees clockwise
Answer: 90 degrees clockwise
Step-by-step explanation:
Consider the line y=7x+4.
Find the equation of the line that is parallel to this line and passes through the point ( -3, 5)
Find the equation of the line that is perpendicular to this line and passes through the point ( -3, 5)
Answer:
parallel y=7x+26
perpendicular y=1/7x+32/7
Step-by-step explanation:
parallel line have the same slope
y-5=7(x-(-3))
y-5=7(x+3)
y-5=7x+21
y=7x+21+5
y=7x+26
perpendicular slope is the opposite of the original slope of 7
y-5=-1/7(x-(-3))
y-5=-1/7(x+3)
y-5=-1/7x-3/7
y=-1/7x-3/7+5
y=-1/7x+32/7
How many half-cubes are needed to fill in the gap of the box shown? O 4 half-cubes O 8 half-cubes O 12 half-cubes O 16 half-cubes 2 units 4 units 23 units
Answer:
8 half cubes
Step-by-step explanation:
8 half cubes
Answer:
b! 8 half-cubes!
Step-by-step explanation:
Please help me answer this. I’ll give a reward. To who every answers it correctly.
Answer:
66
Step-by-step explanation:
55+59 =114
180-114=66
pls help me with this asap!!
Answer: 7 square root 2 AKA the bottom one
Step-by-step explanation:
#1: Consider the list of golf scores: 71, 68, 72, 79, 80, 77, 84, 70, 92. What is
the mode of this data set? *
80
75
0
none
Answer:none
Step-by-step explanation:
. Dinah bought 3 packages of ground beef. The packages weigh 3 3/4 pounds, 1 1/8 pounds, and 2 1/2 pounds. How many pounds of ground beef did Dinah buy
Answer:
[tex]7\frac{3}{8}[/tex] pounds
Step-by-step explanation:
First, convert the fractions into improper fractions, and make them have the same denominator.
First package: [tex]3\frac{3}{4} =\frac{15}{4}=\frac{30}{8}[/tex]
Second package: [tex]1\frac{1}{8} =\frac{9}{8}[/tex]
Third package: [tex]2\frac{1}{2}=\frac{5}{2}=\frac{20}{8}[/tex]
Notice that all the fractions have the same denominator, making it easy to add up. Now we add up the fractions.
[tex]\frac{30}{8}+\frac{9}{8}+\frac{20}{8}=\frac{59}{8} =7\frac{3}{8}[/tex]
The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.
a) What are the mean and standard deviation of the number of universal donors among the 6 people?
b) What is the probability that there are exactly three universal donors?
Using the binomial distribution, it is found that:
a) The mean is of 0.36 and the standard deviation is of 0.58.
b) There is a 0.0036 = 0.36% probability that there are exactly three universal donors.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The expected value of the binomial distribution is:
E(X) = np
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
The values of the parameters are given as follows:
n = 6, p = 0.06.
Item a:
E(X) = np = 6 x 0.06 = 0.36.[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6 \times 0.06 \times 0.94} = 0.58[/tex]The mean is of 0.36 and the standard deviation is of 0.58.
Item b:
The probability is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{6,3}.(0.06)^{3}.(0.94)^{3} = 0.0036[/tex]
There is a 0.0036 = 0.36% probability that there are exactly three universal donors.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ1
May someone pls explain how to do this?
Question: In the image below, the measure of angle 2 is 75°. Find the measures of angles 1, 3, 4, 5, 6, 7, and 8.
Answer:
1=105
3=105
4=75
5=105
6=75
7=105
8=75
Step-by-step explanation:
angles 1 and 2 are supplementary, this means that the sum of the two angles equals 180(they make a straight line).
This means that the cross of the two lines(p and m) will cause angles 1 and 3 to be the same (2 and 4 will also be the same).
lines m and n are parallel, which means that angles 1,2,3, and 4 will be that same as their corresponding angle in angles 5,6,7, and 8.
I hope that made sense.
4(3√x-2)+1=9. what is the solution to this equation
Answer:
x=22/9
Step-by-step explanation:
4(3√(x-2))+1=9
4(3√(x-2))=8
3√(x-2)=2
√(x-2)=2/3
x-2=4/9
x=4/9+2
x=4/9+18/9
x=22/9
Therefore, the solution is x=22/9
help pls pls pls シ
And thanks!
Answer:
the answer the 10.25 u move both decimals over and move it up to the top and divide like normal
You apply for a job and have to take a drug test. You are curious about the error rate for the test so you do some research. You find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative). The company that produces the drug test claims that less than 14% of the test results are wrong. Test if this seems accurate.
Answer:
Test statistic Z = -1.0
|Z| = |-1.0| < 1.96 at 0.05 level of significance.
The null hypothesis is accepted
The company that produces the drug test claims that less than 14% of the test results are wrong
Step-by-step explanation:
Step(i):-
Given that the population proportion P = 14% =0.14
Given that the sample size 'n' = 382 tests
Given that find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative).
Sample proportion
[tex]p = \frac{x}{n} = \frac{47}{382} = 0.1230[/tex]
Null hypothesis: H₀ : P = 0.14
Alternative Hypothesis:H₁ : P≠ 0.14
Step(ii):-
Test statistic
[tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]
[tex]Z = \frac{0.1230-0.14}{\sqrt{\frac{0.14 X0.86}{382} } }[/tex]
Z = - 1.0
|Z| = |-1.0| < 1.96 at 0.05 level of significance.
Final answer:-
The null hypothesis is accepted
The company that produces the drug test claims that less than 14% of the test results are wrong
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
y = 8x + 86
Step-by-step explanation:
Answer:
choice 2) y = 8x + 86
Step-by-step explanation:
After their hike, Joe and Mike took a taxi back to the trailhead. The taxi cost $26 plus
$0.35 per mile. Which type of function could model the cost of the taxi ride?
A) Linear
B) Can't be determined
C) Exponential
D) Quadratic
Answer:
Linear
Step-by-step explanation:
[tex]y=.35x+26[/tex]
[tex]y=\frac{7}{20}x+26[/tex] .35 = 7/20
The form [tex]y=mx+b[/tex] represents a linear equation. Our equation fits that form, with [tex]m=\frac{7}{20}, b=26[/tex].
Answer:
Linear
Step-by-step explanation:
Which value for x makes the sentence true?
10x - 5 = - 55
A. - 50
B. - 6
C. - 10
D. - 5
Answer:
D) -5
Step-by-step explanation:
10x-5=-55
10x=-55+5
10x=-50
x=-50/10
x=-5
Just answer the top answer please and thank you
Answer:
C. 75
Step-by-step explanation:
Ethan has a piece of string that is 6 meters long. He cuts the string into 3 pieces of equal length. How many centimeters long is each piece of string?
9514 1404 393
Answer:
200 cm
Step-by-step explanation:
1 meter is 100 cm, so 6 meters is 600 cm. Each piece is 1/3 of that, so is ...
(600 cm)/3 = 200 cm . . . length of each piece
Find the upper quartile of the given data: 31 , 47 , 88 , 92 , 92
Answer:
92 is the answer
Step-by-step explanation:
As a CFO of a company, you are asked by the company's board to make quarterly payments of $400 for 7 years to a computer firm for computer maintenance. How much money do you need to deposit into an interest bearing account paying 7.1% compounded quarterly so that you can make all the $400 payments over this 7 year period?
Answer:
the present value is $16,203.80
Step-by-step explanation:
The computation of the amount that need to deposit is given below:
Given that
PMT = $400
FV = $0
NPER = 7 × 7 = 49
RATE = 7.1% ÷ 4 = 0.7889%
The formula is shown below:
= -PV(RATE;NPER;PMT;FV;TYPE)
After applying the above formula, the amount that need to be deposit is $16,203.80
Hence, the present value is $16,203.80
i need help please it's due today
Answer:
Step-by-step explanation:
Can anybody help me on this question?
Answer:
60
Step-by-step explanation:
i did the math yeah
I tried finding this one earlier and it didn’t work , so please help again !
Answer:
C. 62
Step-by-step explanation:
All angles in a triangle are equivalent to 180. First find angle C. Which is 64. then subtract that by 180, which is 116. after that we combine like terms then solve for X. Combine like terms: 5x-9=116 X=25 We plug X into angle's A equation. And you get 62. hope this helps :)
What is 26% of 50?
plz help
Answer:
13
Step-by-step explanation:
50 multiplied by .26
Hi please help me out I am one the edge of failing math class and might have to do summer school, but I don't want to talk about that, anyways please help me!
A company has three sales departments (local, regional, and national) at each of several locations across the United States. Each local sales department has 120 employees. The company wants to survey its employees to determine the most effective sales method.
Which sample should the company use to arrive at the most reliable conclusion?
Group of answer choices
24 employees from one sales department at one location
24 employees from one sales department at each location
24 employees from each sales department at one location
24 employees from each sales department at each location
Step-by-step explanation:
24 employees from each sales department at each location
Answer: D. 24 employees from each sales department at each location
Step-by-step explanation: took the test I got it right
The length of a bridge is 130m. The length of each of roberts paces is 70cm what is the minimum number of the full paces that it would take Robert to walk the full length of the bridge
q is a degree 5 polynomial that passes through the origin, has zeros i and 3 - i, and q( - 2) = - 520. Find
the equation for g.
User for your input. Simplify your answer so that it has only real numbers as coefficients.
please someone help me with this ASAP especially with the workout!!
Answer:
71 degrees
Step-by-step explanation:
please someone help me with this ASAP especially with the workout!!
From the triangle shown;
YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z
28² = 25² + 23² - 2(25)(23) cos Z
784 = 625 + 529- 1150 cos Z
784 - 1154 = -1150cos Z
-370 = -1150cos Z
cos Z = 370/1150
cos Z = 37/115
cos Z = 0.3217
Z = arccos 0.3217
Z = 71.23
hence the measure of <Z is 71 degrees