The factory building manager at Delectable Delights, Jason Short, is concerned that the new contractor he hired is taking too long to replace defective lights in the factory workspace. He would like to perform a hypothesis test to determine if the replacement time for the lights under the new contractor is in fact longer than the replacement time under the previous contractor, which was 3.2 days on average. He selects a random sample of 12 service calls to replace defective lights and obtains the following times to replacement (in days). Use a significance level of
0.05. 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
1. Define μ in the context of the problem and state the appropriate hypotheses. (5 pts)
2. Regardless of your results in Part B, calculate the appropriate test statistic by hand. Write out all your steps.
3. What is your decision regarding the null hypothesis? (In other words, do you reject or fail to reject and why?)
4. Write a final concluding statement to Jason giving the results of the hypothesis test. (In other words, write the final summary statement.)
Answer:
H0 : μ = 3.2
H1 : μ > 3.2
1.982
We fail to reject the Null ;
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
Step-by-step explanation:
μ = average time taken by the previous contractor. ; μ = 3.2
H0 : μ = 3.2
H1 : μ > 3.2
Sample size, n = 12 ;
X = 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
xbar = Σx / n = 53.2 / 12 = 4.43
Standard deviation, s ; using a calculator :
s = 2.15
B.)
The test statistic :
(xbar - μ) ÷ (s / sqrt(n))
(4.43 - 3.2) ÷ (2.15 / sqrt(12))
1.23 ÷ 0.62065
= 1.982
C.)
Decision Region :
If Pvalue < α ; Reject the null
α = 0.05
Pvalue :
P(x < 1.982) = 0.9762
0.9762 > 0.05 ; Hence, we fail to reject the Null
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
PLEASE HELP! 20 POINTS!!
Answer:
15
Step-by-step explanation:
In this problem we need to use the numbers given. So in the problem it states that k = 20 and v = 10. We can replace the letters in the equation for the numbers that it equals so the equation can make sense so 25 - 20 + 10 because k is 20 and v is 10 I simply just replaced the letters with the numbers given in the problem. Then we can just subtract 25 - 20 which is 5 and add 10 which leaves you at a final answer of 15. Hope this helped!
How do I solve this???
Answer:
Step-by-step explanation:
Which number has a greater value than |-2.6|?
A. -2.9
B. -|7|
C. -2.6
D. |-6|
Answer:
B (7)
Step-by-step explanation:
If you put a number in absolute value bars,
BC
Round your answer to the nearest hundredth.
А
50°
?
3
B
Use the sine function.
sine = opposite side of triangle divided by the hypotenuse.
Here is the set up:
sin(50°) = BC/3
sin(50°)/3 = BC
Use your calculator to simply left side.
Take it from here.
In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Binomial approximation to normal.
The binomial probability distribution has parameters n, p and q.
If
[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.
1. n = 24, p = 0.85, q = 0.15
[tex]np = 24*0.85 = 20.4 > 5[/tex]
[tex]nq = 24*0.15 = 3.6 < 5[/tex]
So no.
2. n = 15, p = 0.70, q = 0.30
[tex]np = 15*0.7 = 10.5 > 5[/tex]
[tex]nq = 15*0.3 = 4.5 < 5[/tex]
So no.
3. n = 18, p = 0.90, q = 0.10
[tex]np = 18*0.9 = 16.2 > 5[/tex]
[tex]nq = 18*0.1 = 1.8 < 5[/tex]
No
4. n = 20, p = 0.65, q = 0.35
[tex]np = 20*0.65 = 13 > 5[/tex]
[tex]nq = 20*0.35 = 7 > 5[/tex]
Yes
Solve equation by using the quadratic formula.
2x? + 13x = 0
Answer:
c
Step-by-step explanation:
What is the answer for 82-(72+1)
Answer:
The answer should be 9.
Step-by-step explanation:
I need help with math asap
um where’s the question?
evaluate the expression x-9=3 (solve)
Answer:
x = 12
Step-by-step explanation:
[tex]x - 9 = 3 \\ x = 3 + 9 \\ [/tex]
[tex]\boxed{Answer:{\boxed{\green{x = 12}}}}[/tex]
Marcie baked several pies. She used 4 cups of flour for the dough. How many pints of flour did she use?
I have to turn this is Immediately please
Answer:
well if several means 3 then she used 12 pints.
Step-by-step explanation:
3X4=12
4X4=16
5X4=20 and so on.
The distance that an object falls when it is dropped is directly proportional to the
square of the amount of time since it was dropped. An object falls 288 feet in 3
seconds. Find the distance the object falls in 4 seconds
Answer:
After 4 seconds, the object will have fallen 512 feet.
Step-by-step explanation:
Given that the distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped, to determine, if an object falls 288 feet in 3
seconds, the distance the object falls in 4 seconds, the following calculation must be performed:
288/3 ^ 2 = X
288/9 = X
32 = X
X / 4 ^ 2 = 32
X / 16 = 32
X = 32 x 16
X = 512
Thus, after 4 seconds, the object will have fallen 512 feet.
jennifer got a box of chocolates the box is a rectangular prism the measurments are 3in x 4in x 5in what is the surface area of the box of chocolates
Answer:
90
Step-by-step explanation:
fine the Value of t in the equation
Answer:
14.4
Step-by-step explanation:
6 x (t1/3 + t1/2) = 12(6)
2t + 3t = 72
5t = 72 /5
t= 14.4
Which number describes the median of the data given in the table?
Answer:
how can i answer?
Step-by-step explanation:
A representative sample of 50 students from a high school is surveyed. Each student is asked what science class he or she
is taking
This table shows the responses.
Science Class
Physics
Chemistry
Blology
Earth Science
Health Science
Number of
Students
6
10
18
4
12
Select all of the statements that are valid based on the survey results..
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
Option A, B, and C are correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
About 20% of the students are taking chemistry:
To calculate the percentage of students taking chemistry, we divide the number of students taking chemistry by the total number of students surveyed and multiply by 100:
10/50 x 100% = 20%
Therefore, the statement "About 20% of the students are taking chemistry" is valid based on the survey results.
About twice as many students are taking health science than are taking physics:
The number of students taking health science is 12, and the number of students taking physics is 6. To see if twice as many students are taking health science than physics, we can compare the ratios:
Health science : Physics = 12 : 6 = 2 : 1
Since the ratio is 2:1, we can conclude that the statement "About twice as many students are taking health science than are taking physics" is valid based on the survey results.
For every 150 students, we could predict that at least 18 of the students are taking physics:
To make this prediction, we need to calculate the proportion of students taking physics based on the survey results:
6/50 = 0.12
To predict how many students are taking physics in a larger population, we can multiply the proportion by the size of the population:
0.12 x 150 = 18
Therefore, the statement "For every 150 students we could predict that at least 18 of the students are taking physics" is valid based on the survey results.
For every 25 students, we could predict that at least 4 of the students are taking Earth Science:
To make this prediction, we need to calculate the proportion of students taking Earth Science based on the survey results:
4/50 = 0.08
To predict how many students are taking Earth Science in a larger population, we can multiply the proportion by the size of the population:
0.08 x 25 = 2
Therefore, the statement "For every 25 students we could predict that at least 4 of the students are taking Earth Science" is not valid based on the survey results, as we would predict that at least 2 students are taking Earth Science, not 4.
Therefore,
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
uld observe for the entire population represented by the volunteers if all members of this population tasted, respectively, the yogurt with and without the added calcium. If we had used the more accurate software approximation for the degrees of freedom, how would the 90% confidence interval compare to the one constructed with the more conservative value for degrees of freedom
Answer:
hello your question is incomplete attached below is the complete question
answer : It would be narrower ( C )
Step-by-step explanation:
When The 90% confidence interval is compared to the one constructed ( i.e. one with a more conservative value for degrees of freedom ) it would be narrower and this is simply because the conservative df does not put into consideration the fractional part .
can u tell me is this test important or not
Answer:
Yes, indeed it is one of the most important examinations.
A merchant sells goods which cost $240 for $299. What percentage is his profit of the cost price?
Answer:
24.58%
Step-by-step explanation:
Given that,
Initial cost = $240
Final cost = $299
We need to find the percentage in his profit of the cost price.
Profit = Final cost - Initial cost
= $299 - $240
= $59
Percentage,
[tex]\%=\dfrac{59}{240}\times100\\\\=24.58\%[/tex]
So, the required percentage is equal to 24.58%.
Will give brainliest and 50 points to who ever gives me the answer and not a link
Find the surface area of the
triangular prism.
10 ft.
3 ft.
ft.
3 ft.
[?] sq ft.
Can anyone help me please i already did one but I am begging for help
Answer:
#5)
Figure 1: 4
Figure 2: 9
Total: 13
#6)
Figure 1: 10
Figure 2: 30
Total: 40
#7)
Figure 1: 36
Figure 2: 36
Total: 72
#8)
Figure 1: 12
Figure 2: 28
Total: 40
(The numbers in the image are incorrect)
the area of one face of a cube is 36 square feet. what is the volume of a cube that has edges twice as long?
a. 144 feet cubed
b. 216 ft cubed
c. 1,728 ft cubed
d. 5832 ft cubed
If square ABCD is similar to square WXYZ and AB = 35 , AD = 30 , and WX = 42 , find WZ
Answer:
35.5
Step-by-step explanation:
What is the product of -8 and -7
Answer:56
Step-by-step explanation: -8x-7=56
Answer: -15
Step-by-step explanation: it will just give you a higher negative number it is literally the opposite from positive equations if u have to negative numbers u add them if there is a negative AND a positive then you substract them :)
What is y in this equation
Answer:
y = 88
Step-by-step explanation:
y + 53 + 39 = 180
y + 92 = 180
y = 88
Cory is saving for his son's college education. If the savings account earns 2.8% interest
compounded monthly, and he wants to have $25,000 in 18 years, what must the principal
be? Round your answer to the nearest dollar.
Answer:
principal is $15112
Step-by-step explanation:
25000=P(1+ 0.028/12)^(12times18)
The principal amount of the savings is $15111.6
How to determine the principal amount?The given parameters are:
Interest rate, r = 2.8%Amount, A = $25,000Time, t = 18 yearsNumber of times compounded, n = 12 i.e. monthlyAmount is calculated using:
A = P(1 + r/n)^nt
So, we have:
25000 = P(1 + 2.8%/12)^(12 * 18)
Make P the subject
P = 25000/(1 + 2.8%/12)^(12 * 18)
Evaluate the expression
P = 15111.6
Hence, the principal amount is $15111.6
Read more about compound interest at:
https://brainly.com/question/2455673
#SPJ9
PLEASE ANSWER ASAP FOR BRAINELST!!!!!!!!!!!!!!!!!!!!! :D
please show work if you can. thank you in advance! (NO LINKS OR YOU WILL BE REPORTED!!!!)
Answer:
True
True
False
False
Step-by-step explanation:
Not absolutely positive, but I believe this is correct.
Alex finds a remnant of landscaping fabric at a garden store . The fabric is the standard width , with length 9.7 m . Alex needs twelve 0.85 - m pieces for a garden patio . a ) Will Alex have more fabric than she needs ? If so , how much more ? b ) Will Alex need more fabric ? If so , how much more ?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Length of remnant fabric = 9.7m
Number of 0.85m length needed for patio = 12
Total length needed = (0.85 * 12) = 10.2m
The length of fabric needed is more than the length of remnant fabric found ;
10.2 m - 9.7m = 0.5m
Hence, Alex will need 0.5m more fabric
PLEASE ANSWER ASAP GIVING 15 POINTS AND PLEASE NO LINK FILE AND PLEASE ANSWER WHAT I'AM SUPPOSE TO DO WITH THIS ANSWER FOR PART B! I'M ALMOST OUT OF TIME
If the length of a rectangle is 12 times the width and the area is 48 square feet, what are the
dimensions?
Answer:
dimensions are 2 ft, 24ft
Step-by-step explanation:
width = w
length = 12w
Area of rectangle = 48 square feet
length * width = 48
12w * w = 48
12w² = 48 {Divide both side by 12}
w² = 48/12
w² = 4 =2²
w =2 ft
l = 12*2 = 24ft
Answer:
Solution :-Let the width be w and Length will be 12w
So,
Area = lw
48 = 12w × w
48/12 = w²
4 = w²
√4 = √w²
2 = 2
Length = 12(2) = 24 cm
Breadth = 2 cm
[tex] \\ [/tex]