Answer:
The answer is below
Step-by-step explanation:
When computing quartile and decile, the data must be arranged in ascending order.
Given the data points:
13 13 13 20 26 26 29 31 34 34 35 35 36 37 38 41 41 41 42 43 46 47 48 49 53 55 56 62 67 82
The numbers are arranged in ascending order. The total number of terms is 30.
a)
[tex]First \ quartile(Q_1)=\frac{1}{4}(n+1)^{th}\ term\\\\where\ n=number\ of\ terms. Hence:\\\\Q_1=\frac{1}{4}(30+1)=7.75^{th}\ term=average\ of\ 7th\ and\ 8th\ term=\frac{29+31}{2} =30\\\\Q_1=30\\\\Third \ quartile(Q_3)=\frac{3}{4}(n+1)^{th}\ term\\\\Q_3=\frac{3}{4}(30+1)=23.25^{th}\ term=average\ of\ 23rd\ and\ 24th\ term=\frac{48+49}{2} =48.5\\\\Q_3=48.5[/tex]
b)
[tex]Second \ decile(D_2)=\frac{2}{10}(n+1)^{th}\ term\\\\where\ n=number\ of\ terms. Hence:\\\\D_2=\frac{2}{10}(30+1)=6.2^{th}\ term=average\ of\ 6th\ and\ 7th\ term=\frac{26+29}{2} =27.5\\\\D_2=27.5\\\\\\Eight \ decile(D_8)=\frac{8}{10}(n+1)^{th}\ term=\frac{8}{10}(30+1)=24.8^{th}\ term\\=average\ of\ 24th\ and\ 25th\ term=\frac{49+53}{2} =51\\\\D_8=51[/tex]
According to the National Institute for Occupational Safety and Health, job stress poses a major threat to the health of workers. A news report claims that 75% of restaurant employees feel that work stress has a negative impact on their personal lives. Managers of a large restaurant chain wonder whether this claim is valid for their employees. A random sample of 100 employees finds that 68 answer “Yes” when asked, “Does work stress have a negative impact on your personal life?”
1. Do these data provide convincing evidence at the α = 0.10 significance level that the proportion of all employees in this chain who would say “Yes” differs from 0.75? 2. A 90% confidence interval for the restaurant worker data was also created and found to be (0.603272, 0.756728). Explain how the confidence interval is consistent with, but gives more information than, the test.
Hypothesis test on the proportion of employees, gives an evidence
based conclusion which is consistent with the confidence interval.
Response:
There is insufficient or no convincing statistical evidence to conclude that the proportion differs from 0.75The confidence interval indicates that the proportion of workers that feel that work stress has a negative impact on their lives is between 0.603272 and 0.756728, a proportion that includes 0.75, which is consistent with the test, and also provides the minimum and maximum expected proportion at 95% confidence level.How can the test of the hypothesis be performed?1. The percentage of workers that the news report claims work stress have a negative impact on their personal lives, p = 75%
Number of employees in the sample, n = 100
Number that answered yes = 68
The null hypothesis is, H₀: p = 0.75The alternative hypothesis is, Hₐ: p ≠ 0.75The proportion of the employees that said yes, [tex]\hat p[/tex] = 68 ÷ 100 = 0.68
The z-test formula is; [tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]
q = 1 - p
Which gives;
[tex]z= \mathbf{\dfrac{0.68-0.75}{\sqrt{\dfrac{0.75 \times (1 - 0.75)}{100}}}} \approx -1.62[/tex]
The p-value ≈ 2 × p(Z < -1.62) = 2 × 0.0526 = 0.1052
The significance level, α = 0.10
Given that the p-value is larger than the significance level, we fail to
reject the null hypothesis, and conclude that as follows;
There is insufficient convincing statistical evidence that the proportion differs from 0.75.2. The 90% confidence interval is (0.603272, 0.756728)
The confidence interval indicates that at 90% confidence level, the true
proportion of employees that feel that work stress has a negative
impact on their personal lives is between 0.603272 and 0.756728.
The report claim of 75% or 0.75 is within the confidence interval, which consistent with the hypothesis testThe information in the confidence interval also indicates that at 90% confidence level, the proportion of the employee that say yes is between (0.603272, 0.756728), thereby giving more informationLearn more about hypothesis testing here:
https://brainly.com/question/23082833
What rule can you come up with if you have to multiply to get a positive number and add to get a negative number?
Answer:
Two signs
When adding positive numbers, count to the right.
When adding negative numbers, count to the left.
When subtracting positive numbers, count to the left.
When subtracting negative numbers, count to the right.
Step-by-step explanation:
it took mr phillips 1.2 hours to run 13.2 miles
Answer:
11 mph
Step-by-step explanation:
13.2 miles in 1.2 hours
13.2miles / 1.2 hrs
13.2/1.2=11
Answer: 11 mph
18.5−1.73 what is this??
f(x) = X/x-1 and g(x) = 1+1/x find (g. f) (x) and (f. G) (x)
Answer:
Given f(x)=(1−x)21 and g(x)=ln(x)
gof(x)
=g(f(x))
=ln(1−x)1/2
=21ln(1−x)
∴ For the composite function to be defined 1−x>0
x<1
∴ Domain is (−∞,1)
50 PTS
Please Make sure its easy to understand
Answer:
1) -95.
2) 15.
3) The conference center is on floor 5.
Step-by-step explanation:
1) Evaluating gives [tex]-52-30-13=-(52+30+13)=-(95)=-95.[/tex]
2) Substituting gives [tex]x+27=(-12)+27=15.[/tex]
3) After going 4 floors down, we are on level -4. After going 9 floors up to the desired room, we are on level -4+9=5. So the conference center is on floor 5.
Answer:
1. -95
2. 15
3. 5th Floor (-4 + 9)
Step-by-step explanation:
1. Circle the figure you would use to make the Escher‐like tessellation given.
Answer:
b ? i have never seen anything like this though so please dont take my word
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What is the y intercept of the line?
4
-1
3
-2
Answer:-2 because the y intercept is when the x axis is zero
Step-by-step explanation:
ASAP PLS MARKING BRAINLIEST PLSSSSS
Find the sum
(3/8-1/6m+5t) + (7/10m+9t+1/4)
Answer:
5/8 +8/15m+ 14t
Step-by-step explanation:
Combine your like terms, and you will get this.
These four numbers are plotted on a number line:
2 5 3 1
3352
Which is the correct ordering on the number line, from left to right?
Answer:
yes
Step-by-step explanation:
10) Jacolby can score 30 goals in 6 minutes. Khamari can score 42 goals in 7 minutes. How many more goals can Khamari make per minute? a) 3 goals b) 2 goals c) 1 goal d) 4 goals
Answer:
c)1 goal
Step-by-step explanation:
Since Jacolby can make 30 goals in 6 minutes, that makes (30/6) 5 goals per minute. Khamari can make 42 goals in 7 minutes, that makes (42/7) 6 goals per minute. So Jalcolby is 5 and Khamari is 6, and the question is asking how many MORE. 6-5 is 1, so Khamari can make 1 more goal per minute than Jacolby.
Hope this helps.
Suppose your friends have the following ice cream flavor preferences: 70% of your friends like chocolate (C). The remaining do not like chocolate. 40% of your friends like sprinkles (S) topping. The remaining do not like sprinkles. 25% of your friends who like Chocolate (C) also like sprinkles (S). Of the friends who like sprinkles, what proportion of this group likes chocolate
Answer:
The proportion of this group that likes chocolate is 0.625.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Likes sprinkles
Event B: Likes chocolate
25% of your friends who like Chocolate (C) also like sprinkles (S).
This means that [tex]P(A \cap B) = 0.25[/tex]
40% of your friends like sprinkles (S) topping.
This means that [tex]P(A) = 0.4[/tex]
Of the friends who like sprinkles, what proportion of this group likes chocolate
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.25}{0.4} = 0.625[/tex]
The proportion of this group that likes chocolate is 0.625.
Which of the hhh-values satisfy the following inequality?
6\geq\dfrac h26≥
2
h
6, is greater than or equal to, start fraction, h, divided by, 2, end fraction
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
h = 12h=12h, equals, 12
(Choice B)
B
h = 14h=14h, equals, 14
(Choice C)
C
h =16h=16
Answer:
H=12
Step-by-step explanation:
Khan said so
y = 8x - 6
2x - 4y = 24
9514 1404 393
Answer:
(x, y) = (0, -6)
Step-by-step explanation:
Substitute for y in the second equation:
2x -4(8x -6) = 24
2x -32x +24 = 24
-30x = 0
x = 0
y = 8·0 -6 = -6
The solution is (x, y) = (0, -6).
what is the symbol of an inverse function
Answer:
f(-1
Step-by-step explanation:
The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse".
In 5 years, Nicole will
be old enough to vote in an election. The minimum age
for voting is at least 18 years. What can you say about
how old she is now? Write and solve an inequality to
show how old Nicole is now. Let a represent Nicole's
age now.
Answer:
Nicole is 13 years old because x + 5 = 18
Step-by-step explanation:
Does the equation represent a function? * (WILL GIVE BRAINLIEST IF RIGHT)
y = x^2 + 36
Yes this is a function because for any input value (x) you will get a unique output value (y).
The product of two numbers is 42.63. If one number is 21. What is the other number
Answer:
21.63 is the other number
Step-by-step explanation:
21 + 21.63 equals 42.63
Answer:
Hi dear. I'm helping you to solve the question and in return you help me with my question.
Step-by-step explanation:
Question : The product of two numbers is 42.63. If one number is 21. What is the other number?
Solution :-
Product of two numbers = 42.63
One of the number = 21
Therefore , the other number = 42.63 ÷ 21 = 2.03
Hope my solution helps you and don't forget to help me with maths questions in return...
ASAP — PLS HELP OUT
WILL MARK BRAINLIEST AND GIVE A LOT OF POINTS
which is greatest and which is the least 7/12 5/8 3/4
Answer:
The most is 3/4 and the least is 7/12
Step-by-step explanation:
Becasue the demonitaor have a facotr of 24 so if we convert them to ?/24 we can get our answer by doing this 7/12 -> 14/24, 5/8 --> 15/24, 3/4 --> 18/24
Explain your answer !!
Have a great day
Will give brainlst
Answer:
Dang this looks hard
Step-by-step explanation:
Wish could help
−6y=4,3x-18y=43x−18y=4 has no solution. Change one constant or coefficient to make a new system with an infinite number of solutions.
Answer: the anwer is =46.76
Step-by-step explanation:
Compare the two sets of data. Who gets more sleep? Why?
Jason, because he gets higher median hours of sleep
Jason, because he has less variability in sleep hours
Mitch, because he gets higher median hours of sleep
Mitch, because his maximum hours of sleep were greater than Jason’s maximum
Answer:
C. Mitch, because he gets higher median hours of sleep
Step-by-step explanation:
can someone help asap!
ANSWERS:
1) ∛216²=36
2) √81= 9
3) √4∧5=32
4)1.55
5)25
6)X
F. Jennifer earns $55,000 a year. About 18% is taken out for taxes. How
much is taken out for taxes?
Answer:
9900
Its taxes
dndjndnd
Answer:
$9,900
Step-by-step explanation:
18% is equal to .18
.18 times $55,000 = $9,900
On a number line, the directed line segment from Q to S has endpoints Q at -14 and S at 2. Point R partitions the
directed line segment from Q to Sin a 3:5 ratio.
Which expression correctly uses the formula [m/m+n](x2-x1)+x1 to find the location of point R?
9514 1404 393
Answer:
A
Step-by-step explanation:
Using m=3, n=5, x2=2, x1=-14, the only match is the first one.
The correct expression for the point on the line is [tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]
Midpoint of a lineThe formula for expressing the midpoint of a line is expressed as:
[tex]M=\frac{m}{m+n} (x_2-x_1)+x_1[/tex]
Given the following parameters
m=3,
n=5,
x2=2,
x1=-14,
Substitute
[tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]
This given the correct expression for the point on the line
Learn more on midpoint here: https://brainly.com/question/18315903
#SPJ6
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.
A rhombus ABCD is shown with diagonal AC equal to 12.6 feet and diagonal BD equal to 10.4 feet.
What is the area of the farm? (1 point)
9514 1404 393
Answer:
65.52 square feet
Step-by-step explanation:
The area of a rhombus is half the product of the diagonals.
A = (1/2)ab
A = (1/2)(12.6 ft)(10.4 ft) = 65.52 ft²
The area of the farm is 65.52 square feet.
How do I turn 42-5=37 into 42=37+5?
Answer:
You move the -5 to the other side.
Answer:
you move the -5 to the other side equation
Which of the following is equivalent to In 4x+5inx-in2xy
