Answer:
It can be concluded that the median number of part-time employees has increased hence we will reject the null hypothesis ( H0 : p = 0.5 )
Step-by-step explanation:
Test using α = 0.5 to determine whether the median number of part-time employees has increased
number of restaurants with more than 18 part-time employees = 7 ( + sign )
number of restaurants with less than 18 part-time employees = 1 ( - sign )
number of restaurants with exactly 18 part-time employees = 1
first step : ( state the null and alternate hypothesis )
Null hypothesis : ( H0) : median ≤ 18
Alternate hypothesis : ( Ha ) : median ≥ 18
The size of the sample ( n ) can be considered to be 8 because
number of restaurants with more than 18 part-time employees = 7 ( + sign )
number of restaurants with less than 18 part-time employees = 1 ( - sign )
Hence the actual hypothesis that should be tested will be :
H0 : p = 0.5
Ha : p ≠ 0.5
Next apply the binomial distribution to determine the number of + signs
= nP = 8 ( 0.5 ) = 4 + signs ( right tailed test i.e. upper tail of the binomial distribution )
determine the P ( ≥ 7 ) + signs in order to obtain the p-value of this right tailed test ( using the binomial probability table )
P ( ≥ 7 )+ signs = p(7) +signs + p(8)+signs
= 0.0313 + 0.0039 = 0.0352
Hence the P-value = 0.0352 is < 0.05 hence we will reject the Null hypothesis ( H0 : p = 0.5 )
hence It can be concluded that the median number of part-time employees has increased
The true statement is that, the median number of part-time employees has increased
The given parameters are:
[tex]\mathbf{n_1 = +7}[/tex] ---- restaurants with more than 18 part-time employees[tex]\mathbf{n_2 = -1}[/tex] ---- restaurants with less than 18 part-time employees [tex]\mathbf{n_3 = 1}[/tex] ---- restaurants with exactly 18 part-time employeesUsing a 0.5 test of significance, the null and the alternate hypotheses are:
Null hypothesis : [tex]\mathbf{H_0 : p= 0.5}[/tex]Alternate hypothesis : [tex]\mathbf{H_a : p \ne 0.5}[/tex]The sample size (n) is calculated using
[tex]\mathbf{n =n_1 -n_3}[/tex]
So, we have:
[tex]\mathbf{n =7 --1}[/tex]
[tex]\mathbf{n =8}[/tex]
The mean of the distribution is:
[tex]\mathbf{\bar x = np}[/tex]
This gives
[tex]\mathbf{\bar x = 8 \times 0.5}[/tex]
[tex]\mathbf{\bar x = 4}[/tex]
Using the right tailed test, we calculate the probability that a restaurant has more than 7 part-time employees.
This is calculated as:
[tex]\mathbf{P(x \ge 7+) = P(x = 7+) + P(x = 8+)}[/tex]
Using the binomial probability table, we have:
[tex]\mathbf{P(x \ge 7+) = 0.0313 + 0.0039 }[/tex]
[tex]\mathbf{P(x \ge 7+) = 0.0352}[/tex]
By comparison,
When the p-value is less than the level of significance, then we will reject the Null hypothesis
Hence, it can be concluded that the median number of part-time employees has increased
Read more about probabilities at:
https://brainly.com/question/6476990
How could I write 3 as a fraction?
Answer:
[tex]3/1[/tex]
Step-by-step explanation:
You can put any number as a fraction by simply placing a one in the denominator spot.
A temperature of F degrees Fahrenheit is the same as 5/9(f-32) degrees Celsius. According to weather records, the highest recorded temperature in the state of Ohio is 113 degrees Fahrenheit. What is the record high temperature in degrees Celsius
Answer:
45 degrees Celsius
Step-by-step explanation:
PLEASE HELP ME im not sure which ones i think its the first one but not sure about the rest
Answer:
It’s the first and the third one
Step-by-step explanation:
Sarah is making a pizza the diameter of the pizza is 8 inches what is the circumference of the pizza using 3.14 rounded to the nearest tenth
Answer:
Step-by-step explanation:
C=2πr
C=2π4
*If the diameter is 8, then the radius is 4.
C=25.1
hope its correct and hope it helps
A square garden has a diagonal of 12m. What is the perimeter of the garden? Express in simplest radical form.
Answer:
24√2
Step-by-step explanation:
Let the side of the square be x
If the diagonal is 12m (hypotenuse), then;
x^2 + x^2 = 12^2
2x^2 = 144
x^2 = 144/2
x^2 = 72
x = √72
x = √36*2
x = 6√2
Perimeter of the square garden = 4x
Perimeter of the square garden = 4(6√2)
Perimeter of the square garden = 24√2
(2x^3-4x^2+7x-3)/(2x^2 +5)
Divide using long division
What was Joy's balance before she withdrew money from the mall ATM?
Account Number 1212343434
Statement period: 6/14/2013 to 7/15/2013
Beginning Balance
Total Deposits
Total Withdrawals
Ending Balance
$1214.50
$148.00
$295.48
$1067.02
Ref #
Date
6/15
6/19
Debits (-) Credits (+)
15.44
40.00
84.39
103.66
148.00
6/27
Description
Electronic Purchase_Comer Market
ATM-Evergreen Mall
Check
Check
Deposit
Electronic Purchase
Barb's Books
558
557
Balance
1199.06
1159.06
1074.67
944.01
1092.01
1067.02
6/28
7/1
7/7
24.99
$ 1199.06
$1159.06
S1074.67
The answer is $1199.06
Maria claims that ABE ~ ACD. Select two of the transformations or series of transformations that supports Maria's claim and maps ABE to ACD
Answer:
All the answers that has the dilation of 3, except the last one.
Which of the following best describes x in the equation y=5x+3?
Find The values of ( d ,f ,e ) angles
Answer:
angle d =35, e=55, f=55.............
Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?
Answer:
Sorry this is so late but for those that need it. The answer is 4.8
Step-by-step explanation:
In order to get this i set up my equation like so.
0.60*(0.5*16)=y
Why I did it like this is because for every 0.5 thats half a mile so 8 miles times 2 to get the half miles was 16.
After figuring out that i started my equation and got
0.60*8=y
Then to finish it and get $4.8 Donated.
Hope this helped
A brainliest is always appreciated.
Determine the simple interest when: principal: $15,850 interest rate: 3.75%, time: 7 year
Step-by-step explanation:
principle (p) = $15,850rate (r) = 3.75%time (t) = 7 yearssimple interest = (p × r × t) ÷ 100 = (15850 × 3.75 × 7) ÷ 100 = 416,062.5 ÷ 100 = 4,160.625MARK ME AS BRAINLISTPLZ FOLLOW MEGeorge spent exactly one dollar for some 5 cent stamps and some
thirteen cent stamps. How many 5 cent stamps did he buy?
Answer:
He bought 3.3 cents
Step-by-step explanation:
I hope I am right
1 Which is the simplified form of the expression (1021495* (104)05) ?? 1 30 O O g30 012 060 O p12,60
Answer:
7
Step-by-step explanation:
The cost of 2 hamburgers, french fries, and a soft drink at a fast food restaurant would
be about
a) $15.
b) $50.
c) $5.
Answer:
a) $15
solving this realistically no fast food place would be above 50 or below 5 (unless is a discount thing)
polynomial for 4c+4d
Answer:
4(c+d)
Step-by-step explanation:
A model rocket consists of a cone on top of a cylinder.
• The cone has a volume of 72 cm3.
• The cylinder has a diameter of 6 cm and a height of 25 cm.
What is the approximate volume of the entire model rocket?
Answer:
779
Step-by-step explanation:
6/2=3 3•3•25•pi
Volume of a cylinder v=pi•r2•h
What fraction or whole number on the number line 1/9 closest to?
Answer:
i dont understand either
Step-by-step explanation:none
Weekly Pay The weekly salary of an employee is
$250 plus a 6% commission on the employee's total
sales. Find the weekly pay for a week in which the
sales are $5500.
Answer: $580
Step-by-step explanation:
Equation for this problem: 250 + 0.06c = p where c = commission and p = pay
If the sales for this employe was $5500, we can fill out the equation:
250 + 0.06 × 5500 = 580
The employee is paid $580.
I am not a professional, simply using prior knowledge.
Note- It would mean the world to me if you could mark me brainliest!
write the place value of the 5 in each number. a) 1 325
Answer:
Place Value of 5 in 1325 is 'Thousands'
Decompose the fraction in two different ways 1 1/4
Answer:
if my decompose, you mean change it, but still mean the same, then 5/4, and 1 2/8
Step-by-step explanation:
The mixed fraction number 1 ¹/₄ into the two different forms will be 5/4 and 1.25.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The mixed fraction number is 1 ¹/₄.
Convert the mixed fraction number into a fraction number. Then we have
1 ¹/₄ = 1 + ¹/₄
1 ¹/₄ = (4 + 1) / 4
1 ¹/₄ = 5 / 4
Convert the fraction number into a decimal form. Then we have
5/4 = 1.25
The mixed fraction number 1 ¹/₄ into the two different forms will be 5/4 and 1.25.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
HELP PLS PLS PLSBPLSBPLS PLS
Answer:
a and c are correct
b and are wrong
bc length=ab length=4 squres
so triangle is isosceles.a is correct
abc angle is right angle.so c is correct
triangle has only one line of symmetry.that will be the line joining b and the mid point of ac
ac side is bigger than other two sides.so d is incorrect
40 points please help me due in 50 minutes!
What is the area of this figure?
Answer:
806.5 in ^2
Step-by-step explanation:
Separate into 3 figures: rectangle, trapezoid, and triangle
Rectangle:
A = 16*9
A = 144
Trapezoid:
A = ((16+31)/2)*15
A = 352.5
Triangle:
A = (31*20)/2
A = 310
TotalArea:
144+352.5+310
A = 806.5 in^2
Which inequality is best represented by this graph?
Answer:
A. x-3y<5
Step-by-step explanation:
x-3y__5
I would plug in 0,0 since it is in the shaded region
0-3(0)<5
0<5
Since it is a dashed line it is just <
In ΔLMN, the measure of ∠N=90°, MN = 5.6 feet, and NL = 1.7 feet. Find the measure of ∠M to the nearest tenth of a degree
Answer:
M= 16.8868 ≈ 16.9
Step-by-step explanation:
what are the coordinates of the endpoints A'B after a reflection of segment AB over the line y = - x?
A' (-6,1)
A' (1,-6)
A'(-1,6)
B'(4,2)
B'(-4,-2)
Answer:
by reflection, if you mean swapped, then the answers are A'(1,-6) and B'(4,2)
i hope these are the answers you are looking for
Step-by-step explanation:
Autumn wants to calculate the area of the regular hexagon below using rectangles and triangles. What is the minimum number of shapes she could use?
Two triangles and one rectangle
Two rectangles and one triangle
Two triangles and two rectangles
no rectangles and 6 triangles
Answer:
A. Two triangles and one rectangle.
Step-by-step explanation:
A regular hexagon has all six sides to be equal in length. The sum of its interior angle can be determined by:
sum of angles = (n - 2) x 180
So that some series of different shapes can be produced from the polygon. In the given hexagon, the minimum number of shapes that can be produce is 3 which are; 2 triangles and a rectangle.
9. A person is sitting on a 30 foot pier overlooking the ocean. His eye level is 3 feet above the
pier. He sees a whole surface in the ocean. If the angle of depression of the whale is 20", how
far is the whale from his eyes?
Answer:
90.67feet
Step-by-step explanation:
Given that α = 20°
Tan α = opp/adj......... 1
Opp = 33feet
Adj = x
Substitute the values into equation 1
Tan 20° = 33feet/adj
0.36397 = 33/adj
0.36397×adj = 33
Adj = 33/0.36397
Adj = 90.666
Recall, adj = x = 90.666feet
x = 90.67feet
Hence, the whale is 90.67feet far from the eyes
205/2 Setup I know the answer is 102