An
Step-by-step explanation:
It is desired to compare the hourly rate of an entry-level job in two fast-food chains. Eight locations for each chain are randomly selected throughout the country, the selections for each chain being independent. The following hourly rates are recorded:
Chain A 4.25 4.75 3.80 4.50 3.90 5.00 4.00 3.80
Chain B 4.60 4.65 3.85 4.00 4.80 4.00 4.50 3.65
Under the assumption of normality and equal variances, can it be concluded at the 5% significance level that chain A pays more than chain B for the job under consideration?
Answer:
It can be concluded that at 5% significance level that there is no difference in the amount paid by chain A and chain B for the job under consideration
Step by Step Solution:
The given data are;
Chain A 4.25, 4.75, 3.80, 4.50, 3.90, 5.00, 4.00, 3.80
Chain B 4.60, 4.65, 3.85, 4.00, 4.80, 4.00, 4.50, 3.65
Using the functions of Microsoft Excel, we get;
The mean hourly rate for fast-food Chain A, [tex]\overline x_1[/tex] = 4.25
The standard deviation hourly rate for fast-food Chain A, s₁ = 0.457478
The mean hourly rate for fast-food Chain B, [tex]\overline x_2[/tex] = 4.25625
The standard deviation hourly rate for fast-food Chain B, s₂ = 0.429649
The significance level, α = 5%
The null hypothesis, H₀: [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ: [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
The pooled variance, [tex]S_p^2[/tex], is given as follows;
[tex]S_p^2 = \dfrac{s_1^2 \cdot (n_1 - 1) + s_2^2\cdot (n_2-1)}{(n_1 - 1)+ (n_2 -1)}[/tex]
Therefore, we have;
[tex]S_p^2 = \dfrac{0.457478^2 \cdot (8 - 1) + 0.429649^2\cdot (8-1)}{(8 - 1)+ (8 -1)} \approx 0.19682[/tex]
The test statistic is given as follows;
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{S_{p}^{2} \cdot \left(\dfrac{1 }{n_{1}}+\dfrac{1}{n_{2}}\right)}}[/tex]
Therefore, we have;
[tex]t=\dfrac{(4.25-4.25625)}{\sqrt{0.19682 \times \left(\dfrac{1 }{8}+\dfrac{1}{8}\right)}} \approx -0.028176[/tex]
The degrees of freedom, df = n₁ + n₂ - 2 = 8 + 8 - 2 = 14
At 5% significance level, the critical t = 2.145
Therefore, given that the absolute value of the test statistic is less than the critical 't', we fail to reject the null hypothesis and it can be concluded that at 5% significance level that chain A pays the same as chain B for the job under consideration
what is x +4z-5-3x, when x=2 and z=3x?
Answer:
15
Step-by-step explanation:
x=2,z=6
2+6(4)-5-3(2)
2+24-5-6
26-11
15
x = 2 & z = 3x
Solution : - ⇒x + 4z - 5 - 3x⇒(2) + 4(6) - 5 - 3(2)⇒2 + 24 - 5 - 6⇒26 - 11⇒15A bus left Lagos on Monday at 6.30a.m. and arrived Kaduna on Tuesday at 3.00p.m. How long did the journey take?
Answer:
8 hours and 30 minutes
Step-by-step explanation:
well 6:30am monday to 6:30am tuesday would be 24 hours
plus 9 hours until 3:30pm
then subtract 30 minutes to have 3:00
so 8 1/2 hours
(a)(-5a)
I have to find the product and simplify the answer. Can anyone please help me?
Answer:
-5a*a^2
Step-by-step explanation:
(a)(-5*a)
-5a*a^2?
The coordinate plane shows a line traveling through two points.
The coordinates that represent another point on the line are
a (3,5)
b (3,2)
c (5,3)
d (6,7)
Work out (5 x 10^3) (9 x 10^7)
Give your answer in standard form.
Answer:
(5 x 10^3) (9 x 10^7) = 5 × 9 × 10^3 × 10^7 = 45 × 10^10
What are the x-intercepts of the graph of y = x + 7x + 10?
O A. (5,0) and (2.0)
O B. (-7,0) and (-10,0)
O c. (7,0) and (10,0)
O D. (-5,0) and (-2, 0)
Answer:
D
Step-by-step explanation:
I hope this helps a bit.
Matteo has &400 in his saving account. on average he spends $10 per week on buying apps. Luca has $200 in his savings account. he is saving $15 a week in order to buy a new Playstation. When will matteo and luca have the same amount of money?
Answer:
8 weeks
Step-by-step explanation:
Given data
Matteo
Amount= $400
Spending per week= $10
Hence his balance after x weeks is given as
y=400-10x-------------1
Luca
Amount= $200
Spending per week= $15
Hence his balance after x weeks is given as
y=200+15x-------------2
Equate 1 and 2
400-10x=200+15x
collect like terms
400-200=15x+10x
200=25x
x= 200/25
x= 8 weeks
Hence it will take 8 weeks
Calculate the approximate distance point A (5,3, -2) and point B (2, -4, 8) are from the origin. Round to the
nearest tenth.
How much farther from the origin is point B than point A?
3.0 units
3.7 units
4.7 units
O 5.7 units
Answer:
3.0 units
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Origin:
The origin is given by point (0,0,0).
Distance of point B to the origin:
Since the origin is all 0, just put the points into the square root.
[tex]D = \sqrt{2^2 + 4^2 + 8^2} = \sqrt{84} = 9.2[/tex]
9.2 units.
Distance of point A to the origin:
[tex]D = \sqrt{5^2 + 3^2 + 2^2} = \sqrt{37} = 6.1[/tex]
How much farther from the origin is point B than point A?
9.2 - 6.1 = 3.1 units
So approximately 3 units.
Answer:
a
Step-by-step explanation:
It costs $6 per hour for a park to water the grass. How much will it cost to water the grass for
7/3
hours?
Answer:
I think the answer is $14 hope this helps!
Step-by-step explanation:
What is the solution to the following system? Type answer in (x,y) format, do not use spaces,
(Graphing)
(Worth 10 points)
Answer:
The solution is: (4,-7)
Step-by-step explanation:
Given
The attached graph
Required
Determine the solution
The solution is the point where both lines meet.
From the attached graph, the two lines meet at:
[tex]x =4\\y = -7[/tex]
Hence, the solution is: [tex](4,-7)[/tex]
MovieMania, an online movie rental website charges a one-time fee of $6.85 and $2.99 Per movie rental. Let m represent the number of movies you watch and let C represent the total cost to watch the movies. write an equation that relates the total cost to the numbers of movies you watch from MovieMania
Answer:
C=6.85+2.99m, where:
C is the total cost to watch the movies
m is the number of movies you watch
Step-by-step explanation:
From the information provided, you can say that the total cost to watch the movies would be equal to the one-time fee plus the result of multiplying the price per movie for the number of movies you watch, which can be expressed as:
C=6.85+2.99m, where:
C is the total cost to watch the movies
m is the number of movies you watch
Assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. If the top 5 percent and bottom 15 percent are excluded for an experiment, what is the bottom cutoff heights to be eligible for this experiment? Round your answers to one decimal place.
Answer:
The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 69.0 inches and a standard deviation of 2.8 inches.
This means that [tex]\mu = 69, \sigma = 2.8[/tex]
What is the bottom cutoff heights to be eligible for this experiment?
The bottom 15% are excluded, so the bottom cutoff is the 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.037 = \frac{X - 69}{2.8}[/tex]
[tex]X - 69 = -1.037*2.8[/tex]
[tex]X = 66.1[/tex]
The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
Find the area of the polygon 2cm 2cm 3cm in square centimeters
Answer:
12sq cm
Step-by-step explanation:
For Area, we do lenth x width x height. Here, the lenth and the width is 2, so we do 2x2 which is 4. Next the height is 3 so we do 4x3 which is 12. There is your answer. Hope it helps!
need help with this ‼️
HELP I WILL GIVE BRAINLEIST OR WHATEVER 50 POINTS
answer:
a. scarf costs today = $6
b. scarf costs 3 days from now = $3
step-by-step explanation:
1/2 off means you would multiply the amount by 1/2 then subtracta. original price of scarf: $12
12 X 1/2 = 6
12 - 6 = 6
— scarf costs today = $6
do the same thing but this time it is a different numberb. 12 X 3/4 = 9
12 - 9 = 3
— scarf costs 3 days from now = $3
List two solutions for the equation: y = 4.5x + 9
Answer:
say 5 and 6
Step-by-step explanation
you just multiply it
An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $30,000. If the economy grows at a moderate pace, the investment will result in a profit of $10,000. However, if the economy goes into recession, the investment will result in a loss of $30,000. You contact an economist who believes there is a 20% probability the economy will remain strong, a 60% probability the economy will grow at a moderate pace, and a 20% probability the economy will slip into recession. What is the expected profit from this investment?
A private beach is 6/7 mile in length and 1/4 mile in width. What is the area of the private beach? (Don't forget to simplify)Immersive Reader
(20 Points)
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
Answer:
two hundred and forty inches
Answer:40
Step-by-step explanation:Parallelogram
Solve for area
A=40
Solution
A=bh=8·5=40
formula A=base*height
Two small space probes have been slowed to 10 m/s as they approach the Moon from the same direction. Probe 1 has a mass of 86 kg, and probe 2 has a mass of 100 kg. What is their total momentum? A. 8600 kg O B. 1000 kg-m/s O C. 860 kg-m/s O D. 1860 kg-m/s SUBMIT
The total momentum of the two probes with given mass and velocity is equal to option D. 1860 kg m/s.
velocity of probe = 10m/s
mass of probe 1 = 86kg
mass of probe 2 = 100kg
The momentum of an object is given by the product of its mass and velocity.
So, to calculate the total momentum of the two probes,
Find the momentum of each probe, and then add them together.
The momentum of probe 1 is equal to,
p₁ = m₁ × v
Substitute the value we have,
⇒ p₁ = 86 kg × 10 m/s
⇒ p₁ = 860 kg m/s
The momentum of probe 2 is equal to,
p₂ = m₂ × v
⇒ p₂ = 100 kg × 10 m/s
⇒ p₂ = 1000 kg m/s
The total momentum of the two probes is the sum of their individual momenta is equal to
p = p₁ + p₂
⇒ p = 860 kg m/s + 1000 kg m/s
⇒ p = 1860 kg m/s
Therefore, the total momentum of the two probes is option D.1860 kg m/s.
Learn more about momentum here
brainly.com/question/13473688
#SPJ1
find the area of the right triangle.
Answer:
16 units²
Step-by-step explanation:
1/2x4x8=16
PLEASE HELP!!!!! WILL GIVE BRAINLIEST
.....................help
9514 1404 393
Answer:
-0004.00
Step-by-step explanation:
The segment has a "rise" of -4 units for the "run" of 1 unit between x=2 and x=3. Then the slope is ...
slope = rise/run = -4/1 = -4
I’m stuck on this one. Can any one help me?
3, and apparently its "too short of an answer on this website"
Find the indicated limit, if it exists.
Answer:
2
Step-by-step explanation:
[tex]Lim_{x\to 8} f(x), \: f(x) \begin{cases} x + 10 \: \: \: \: x < 8 \\ \\ 10 - x \: \: \: \: x \geqslant 8\end{cases}[/tex]
[tex] Lim_{x\to 8} f(x) = Lim_{x\to 8} 10 - x \\ \\ = 10 - 8 \\ \\ = 2[/tex]
megan has a rope 14.35 and she cut it in 7 pieces how long is each piece ?
Here's link to the answer:
tinyurl.com/wpazsebu
Answer:
2.05
Step-by-step explanation:
14.35 ÷ 7 = 2.05The Arc Electronic Company had an income of 59 million dollars last year. Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars. If incomes for this industry are distributed normally, what is the probability that a randomly selected firm will earn more than Arc did last year
Answer:
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars
This means that [tex]\mu = 45, \sigma = 7[/tex]
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{59 - 45}{7}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
What is her average?
Answer:
95
Step-by-step explanation:
88 + 95 + 97 + 100 = 380
380 ÷ 4 = 95
To find the average you add all the numbers together and then divide that answer depending on how many numbers there are for example there were 4 numbers in this problem so I divided by 4.
Hoped this helped you!! If you have any other questions about what I said you can ask me :) Have a great day!
WILL MARK BRAINLIST
Which set of side lengths below will NOT form a right triangle?
A. 3 ft, 4 ft, 5 ft
B. 8 m, 15 m, 17 m
C. 1 in, 2 in, 3 in
D. All sets of side lengths above will form a right triangle.
Answer:
C. 1 in, 2 in, 3 in
if you think about it- the 3inch side will be as long as the other 2 sides put together. it wouldn't form a triangle at all- just one line on top of the other 2.