The valid conclusions for the manager based on the considered test is given by: Option
When do we perform one sample z-test?One sample z-test is performed if the sample size is large enough (n > 30) and we want to know if the sample comes from the specific population.
For this case, we're specified that:
Population mean = [tex]\mu[/tex] = $150Population standard deviation = [tex]\sigma[/tex] = $30.20Sample mean = [tex]\overline{x}[/tex] = $160Sample size = n = 40 > 30Level of significance = [tex]\alpha[/tex] = 2.5% = 0.025We want to determine if the average customer spends more in his store than the national average.Forming hypotheses:
Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: [tex]H_0: \mu_0 \leq \mu = 150[/tex]Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically [tex]H_1: \mu_0 > \mu = 150[/tex]where [tex]\mu_0[/tex] is the hypothesized population mean of the money his customer spends in his store.
The z-test statistic we get is:
[tex]z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094[/tex]
The test is single tailed, (right tailed).
The critical value of z at level of significance 0.025 is 1.96
Since we've got 2.904 > 1.96, so we reject the null hypothesis.
(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).
Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.
Learn more about one-sample z-test here:
https://brainly.com/question/21477856
Answer:
A
Step-by-step explanation:
A design for a garden is composed of a triangle and 2 rectangles. Some side lengths of the garden design are shown. 7.5 ft 12.5 ft 7.5 ft 12.5 ft What is the area of the garden in square feet?
Answer:
215.625 square feet.
Step-by-step explanation:
The best way to approach this is by finding the area of each shape and then adding them together.
The area of a rectangle is Length · Width. Both rectangles have a length of 12.5 feet and a width of 7.5 feet. 12.5 · 7.5 = 93.75. And since both rectangles have the same dimensions, we can just multiply 93.75 by two to get 187.5 square feet for the rectangles.
The area of a triangle is Base · Height / 2. Since the sides of the triangle are the same as the sides of rectangles, the dimensions of the triangle are 7.5 feet and 7.5 feet.
7.5 · 7.5 / 2 = 28.125 square feet.
187.5 + 28.125 = 215.625 square feet.
Hope this helps! :)
Question 1
The purpose of the sales director's study is to determine whether attending the training program caused an increase in sales
for representatives from the two regions. So the sales director collected sales data from both groups (those receiving training
and those receiving no training) for three months after the one-month program and compared the number of orders secured
by those who attended the training program with the number of orders secured by those who didn't attend.
Part A
? Question
Select the correct answer from each drop-down menu.
because a treatment
applied to the sales
The sales director conducted
representatives
This is the best statistical study for this situation because the sales director is trying to establish
Based on the above scenario, the sales director conducted an experiment.
Because a treatment was applied to the sales representatives.The the best statistical study for this situation because the sales director is trying to establish correlation.What is an experiment?An experiment is known to be a method that is et up with the aim to test a given hypothesis as a component of a scientific method.
In an experiment, there are the two key variables which are the independent and dependent variables. The independent variable is known to be a controlled or it is tested against the dependent variable.
See full question
Part A.
The sales director conducted a.) an experiment b.) a survey c.)an observational study because a treatment a.) was not b.)was applied to the sales representatives.
This is the best statistical study for this situation because the sales director is trying to establish a.) causality b.) correlation.
Learn more about experiment from
https://brainly.com/question/17274244
PLS HELP I UAVE SCHOOL TMR TRY TO EXPLAIN IT IF YOU CAN OR TELL ME THE ANSWER THX
Answer:
c=0.12m
Step-by-step explanation:
Okay, so to find the relation between minutes and cost is by dividing them, specifically cost over minutes. Cost = x amount of dollars per minute (m). This can be written with any of the given amounts. 60 = x(500) then 60/500 = x = 0.12
Kalel says that 24 divided by 5 equals 36 divided by 8 because both are "4R4". Show his mistake using decimal division.
Answer: 24/5=4.8 36/8=4.5
Step-by-step explanation: First, let's start off by dividing 24 by 5. We can turn this into 24.0 divided by 5 to make it a bit simpler. We know that 240 by 5 = 48, then since there is a decimal 1 digit to the left in 24.0, we apply that decimal 1 digit to the left in 48, making it 4.8! Now let's do 36 by 8. We can do what we did for problem 1 and turn 36 into 36.0, 360 by 8 = 45 and applying the same logic we used before, 360 turns into 36.0, and 45 turns into 4.5! Therefore, Kalel is wrong, and the two equation is not equal.
P.S. Using long division, Kalel is technically kind of right, but there's still that unaccounted for '4' that we still need to divide.
BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?
A pizza with 24 inch diameter cut into 16 pieces whats the area of each slice
Answer:
About 28.27 inches² per slice
Step-by-step explanation:
First, we will find the area of the pizza. Since it is a pizza, we will assume it is a circle and will use the formula for area of a circle.
24-inch diameter / 2 = 12-inch radius
A=πr²
A=π(12)²
A ≈ 452.39 inches²
Now, since the pizza is cut into 16 slices, we will divide the total area by 16.
452.39 inches² / 16 ≈ 28.27 inches² per slice
Why is math super hard??
Just number 1 please and explain
tanS = 5/12
tanR = 12/5
ur welcome norissa
Leila received 5/7 of 49 votes for the class president. How many votes did she receive?
Answer:
71.428571%
Step-by-step explanation:
You divide 5 by 7
FIND THE VOLUME OF EACH SNOWBALL)
Joshua and Isabella are having a snowball fight. Joshua has a snowball, shaped as a sphere, with a radius of 6 cm. Isabella also has a spherical snowball that is 6cm across the center of the sphere find the volume of each snowball use 3.14 for pi
Answer:
Step-by-step explanation:
HeLp
What is the first step in solving the equation n/-2. 25=15. 6 ?
multiply both sides of the equation by n/-2. 25
multiply both sides of the equation by 15. 6
divide both sides of the equation by -2. 25
divide both sides of the equation by 15. 6
Answer:
Multiply both sides of the equation by n/-2.25
Step-by-step explanation:
[tex]\frac{n}{-225}=15.6[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}-2.25[/tex]
[tex]\frac{n\left(-2.25\right)}{-2.25}=15.6\left(-2.25\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]n=-35.1[/tex]
~lenvy~
Answer:
The answer is A. (multiply both sides of the equation by n/-2.25).The final answer is n=-35.1.Step-by-step explanation:
To solve this problem, first, you have to isolate the term of n from one side of the equation.
[tex]\sf{\dfrac{n}{-2.25}=15.6 }[/tex]
The only way to solve this is to multiply both sides by -2.25.
[tex]\sf{\dfrac{n(-2.25)}{-2.25}=15.6(-2.25) }[/tex]
After that, you solve.
Multiply the numbers from left to right.
[tex]\sf{15.6(-2.25)=\boxed{\sf{-35.1}}[/tex]
n=-35.1Don't forget to use a variable for your final answer.
Therefore, the correct answer is n=-35.1 and A. multiply both sides of the equation by n/-2.25.I hope this helps you! Let me know if my answer is wrong or not.
What is the sum product pattern? Correct answer gets BRAINLY!!!!!!!!!!!!!!!!!!!! Pls hurry!!!!!!!!!!!
The sum-product pattern
If the polynomial is of the form x 2 + b x + c x^2+bx+c x2+bx+cx, squared, plus, b, x, plus, c and there are factors of c that add up to b.
I am not sure what you meant but hopefully you meant this
Answer:
If the polynomial is of the form x2 + bx + cx²+bx+cx2+bx+cx, squared, plus, b, x, plus, c and there are factors of c that add up to b.
Step-by-step explanation:
Do mark BRAINLIEST
Can someone please help me out with this question?
Answer:
Step-by-step explanation:
Both data sets have a median of 3 and gave similar means, 3.19 and 2.57, so the answer should be B.
HELP ASAP GIVING BRAINLIEST LETS GO! In a dark hallway, you have a hard time finding your way to the bathroom. To find the bathroom, you try the following:
Shouting for help
Feeling your way down the hall
Turning on a lamp
Crawling along the floor
----------------------------------------------------------------------------------------------------------------------------
.All four are successful, but only one of these options uses two forms of energy. Identify the two forms of energy for that option.(2 points)
A.Electrical and light
B.Heat and sound
C.Mechanical and light
D.Sound and heat
The variables y and x have a proportional relationship, and y = 5 when x = 4.
What is the value of x when y = 8?
Answer:
[tex]\boxed{a = 6.4}[/tex]
Step-by-step explanation:
Given:
[tex]x:y = (4):(5)[/tex]
Let the value of "x" be known as "a".
[tex]x:y = a:8[/tex]
Setting up the proportion:
[tex]\rightarrow 4:5 = a :8[/tex]
Multiplying the middles and the extremes:
[tex]\rightarrow 5a = 4 \times 8[/tex]
Simplifying the RHS:
[tex]\rightarrow a = \dfrac{4 \times 8}{5}[/tex]
[tex]\rightarrow \boxed{a = 6.4}[/tex]
Thus, the value of x is 6.4 when y is 8.
Answer:
[tex]\sf x=\dfrac{32}{5}[/tex]
(or x = 6.4 if you want it in decimal form)
Step-by-step explanation:
If y and x have a proportional relationship, then:
y = kx (for some constant k)Given:
x = 4y = 5Substitute the given values into the equation to find k:
⇒ 5 = k(4)
⇒ k = 5/4
Therefore, [tex]\sf y=\dfrac54x[/tex]
When y = 8, substitute y = 8 into the equation and solve for x:
[tex]\sf \implies \dfrac54x=8[/tex]
[tex]\sf \implies x=8 \cdot \dfrac45[/tex]
[tex]\sf \implies x=\dfrac{32}{5}[/tex]
What is an equation of the line that passes through the point
(-2,-8) and has a slope of 3?
Answer:
y = 3x - 2
Step-by-step explanation:
Use the point-slope equation since we are given a point that the line passes through and its slope:
y - y1 = m(x - x1)
(-2, -8), m = 3
Substitute these values into the equation.
y - (-8) = 3(x - (-2)) y + 8 = 3(x + 2)y + 8 = 3x + 6y = 3x - 2The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.
please help with this math problem
Step-by-step explanation:
please mark me as brainlest
Answer:
10 mm
Step-by-step explanation:
You can find the missing dimension using the triangle area formula with the dimensions you know.
A = 1/2bh
40 mm² = 1/2(b)(8 mm)
b = 40 mm²/(4 mm) = 10 mm . . . . . . . divide by the coefficient of b
The triangle's base is b = 10 mm.
Which point on this number line has a coordinate of 7.47?
Number line from 7.0 to 8.0 with tick marks every 1 one hundredth unit. Tick marks are numbered every tenth unit. Point A is 3 tick marks to the right of 7.3. Point B is 3 tick marks to the right of 7.4. Point C is 7 tick marks to the right of 7.4. Point D is 4 tick marks to the right of 7.7.
Point A
Point B
Point C
Point D
Answer:
I think it is point D
Step-by-step explanation:
hope this helps if it is wrong please let me now
solve pls brainliest
Answer:
decreased by 7
Step-by-step explanation:
Based off of the table after each day, the money left on the card decreases by 7 after each day
eg. On Monday there is $40 on the card. On Tuesday there is $33 on the card. The money on the card decreases by 7 from Monday to Tuesday. It continues to decrease by this constant amount as the days pass.
Answer:
With each day additional day, the amount left on the card decreased by $7
Step-by-step explanation:
After each day you could see that the amount of money was lower and if you subtracted Monday by Tuesday, Tuesday by Wednesday, Wednesday by Thursday, and Thursday by Friday, you could see that it fell $7 each time.
PLEASE HELP!!!!!! Giving Brainliest really hard!
Answer:
x = 71
Step-by-step explanation:
The horizontal lines are parallel, right?
So that means the degrees shown are complimentary angles(they add up to 180 degrees, a straight line)
so that means the algebraic equation is 109 + x = 180
x = 180-109
x = 71
Hope this helps. Mark brainliest if best., if not, hope it helps anyway.
The area of the triangle below is 17.39 square inches. What is the length of the base?
Height 3.7
Choose the value of (n) that makes the sentence true.
32/n > 2
a. n=8
b.n=32
c.n=16
d.n=64
help me plss
Ratio of boys to girls
Answer:
→Boys=6
→Girls=14
Step-by-step explanation:
[tex]Solution,\\\\Ratio\:of\:boys\:to\:girls=3:7\\\\Total\:students=20\\\\Let,\\\\\hookrightarrow Boys=3x\\\\\hookrightarrow Girls=7x\\\\Now\:we\: have,\\\\\hookrightarrow 3x+7x=20\\\\\hookrightarrow 10x=20\\\\\hookrightarrow x=20/10=2\\\\Again,\\\\\hookrightarrow Boys=3x=3\times2=6\\\\\hookrightarrow Girls=7x=7\times2=14[/tex]
Help pleaseee asaappp
What is the equation of the line below?
Answer:
y = -x+5
Step-by-step explanation:
m = -1, so y = -x+5
Use the image below to find the missing side lengths.
Answer:
Step-by-step explanation:
Please help! this assignment locks at 12 and i will give brainlest!
Answer:
where is the assignment?
expand and simplify (x+3)(x+5)
Answer:
(x+3)(x+5)
x( x + 5) +3 ( x + 5)
x² + 5x + 3x + 15
x² + 8x + 15
What is the volume of the cylinder below?
Answer:
[tex]\sf 36\pi \ units^3[/tex]
explanation:
[tex]\sf \pi r^2 h[/tex]
[tex]\sf \pi (3)^2 (4)[/tex]
[tex]\sf 36\pi \ units^3[/tex]
note: the height should be perpendicular from the cylinder's radius.
Answer:
[tex]36\pi {unit}^{3} [/tex]
# Jerry Don is here #
PLEASE GUYS I REALLY NEED TO GET A C OR A B IN MATH PLEASE I NEED AT LEAST ONE PERSON TO HELP ME WITH MY SI
The prism below is made of cubes which measure of an inch on one side. What is the volume?
Note: Figure is not drawn to scale.
A.
B.
C.
D.
Answer:
35
Step-by-step explanation:
V=Bh
V = 6(5)
V= 35
Answer: the answer is A. 10/9 cubic in.
Step-by-step explanation:
Plisss help with this oneeee
Answer:
y = 1/2 x - 5
Step-by-step explanation:
use the equation y=mx+b where m= the slope of the line and b=the slope-intercept (the point where the line crosses the y axis)
the slope is 1/2 and the slope-intercept is -5
Answer:
y=1/2x-5
Step-by-step explanation:
grad=change in y/change in x
=(-4--5)
----------
(2-0)
=1/2
G=0.5
0.5=y--5
------
x-0
0.5 (x-0)=y+5
0.5x=y+5
-y= -0.5x+5
y=1/2x-5