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:
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Answer:
A
Step-by-step explanation:
Please help with my math thank you for all that helped!---------------NO LINKS AT ALL
Answer:
1a) 9+9+9+9=36
b) 9×9=81. Hope this helped
3
Lucas and Zoe visit their mother on April 7th. From then on, Lucas visits his mother every
fifth day and Zoe visits every eighth day. On what date will Lucas and Zoe both next visit their
mother at the same time?
Answer:
Lucas and Zoe will both next visit their mother on 7th of May at the same time.Step-by-step explanation:
First, find the first multiple that can be divisible by 5 and 8:
40 is divisible by 5 and 8.
Second, find the days in April and subtract 7 from the days:
April=30 days.
30-7= 23 days.
Finally, subtract 23 from 40 and find it in the next month, which is May:
40-23=17
Therefore, they will both next visit their mother on the 7th of May.
Need help with this plss
Answer:
LN is a radius
Step-by-step explanation:
a segment drawn from the centre of a circle to a point on the circle is a radius.
Answer:
Radius
Step-by-step explanation:
The radius of a circle is a line segment whose endpoints are the center point of the circle and a point on the circumference of the circle.
The work shows the long division of 647 ÷ 3.
Find the values of a and b in the long division problem.
a =
b =
So, 647 3 = 215 +
I'm assuming ratio of a to b is the remainder of the long division.
can you help me? please
Answer:
The answer is B. 600
Step-by-step explanation:
Hope that helps!
Answer:
B. $600.00
Step-by-step explanation:
every 10hrs worked you are getting $120.00 so just add $120.00 every 10 hrs
Is this a function someone pls tell me
Answer:
that is not a function
Step-by-step explanation:
What is the radius of a circle (rounded to the nearest tenth) that has an area of 48?
Answer:
3.9
Step-by-step explanation:
Use the formula A = πr^2 (area of a circle = Pi times radius squared)
Plug in what we know:
48 = πr^2 (first, divide 48 by Pi = that would equal 15.27887 continued, round it to the nearest tenth and you would get 15.3)
15.3 = r^2 (now, we find the square root of 15.3, 3.9115 continued, round it to the nearest tenth, and it will be 3.9)
3.9 = radius
The radius of the circle (rounded to the nearest tenth) is 3.1.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
The formula for the area of a circle is A = πr², where A is the area and r is the radius.
We can use this formula to solve for the radius of the circle with an area of 48:
A = πr²
48 = πr²
Dividing both sides by π gives:
r² = 48/π
Taking the square root of both sides gives:
r = √(48/π)
r ≈ 3.1
Therefore, r ≈ 3.1.
To learn more about the circle;
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A dessert cart in a restaurant has 12 possible dessert options. In how many ways could your family of 4 select their desserts?
Using the combination formula, it is found that your family could choose the desserts in 495 ways.
The order in which the desserts are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 4 desserts are chosen from a set of 12, hence:
[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]
Your family could choose the desserts in 495 ways.
More can be learned about the combination formula at https://brainly.com/question/25821700
Can someone help with number 28 and explain how todo it
Base on tangent and secant rule for intersection,
The length of WZ is 12.
The angle of the arc XZ is 39 degrees.
What is tangent of a circleThe tangent to a circle is defined as a straight line that touches the circle at a single point.
Therefore,
WX × WY = WZ²
8 × (10 + 8) = WZ²
8 × 18 = WZ²
WZ² = 144
WZ = √144
WZ = 12
74° = 1 / 2(187 - arc XZ)
74 = 93.5 - arcXZ / 2
-19.5 = - arcXZ / 2
-39 = - arcXZ
-arcXZ = 39°
learn more on tangent here: https://brainly.com/question/12655272
Please help me with word problems
Answer:
Step-by-step explanation:
.16x + 22.92 = 25.00
.16x = 2.08
x = 13 yards of ribbon
Andy, Brenda, Carla, and Diego put their names in a hat and pull out two names.
If A represents Andy, B represents Brenda, C represents Carla, and D represents
Diego, what are all the different pairs of names they can pull out?
Answer:
A and B
A and C
A and D
B and C
B and D
C and D
help. list all possible answers
A sweater that originally cost $40 is on sale for 10 percent off. What is the amount of the discount?
$2
$4
$30
$36
Question 5
0.2 pts
A pizza shop that sells pízza by the slice will let you buy the left overs of each pizza. Lily
selects 5 pizzas that are 2/3 of a whole pizza.
How many WHOLE pizzas does Lily end up having? Explain the strategy you used to get
your solution
Edit View Insert Format Tools Table
12ptParagraph
В І САУ руту
:
Answer:3 1/3 pizza in total but 3 whole pizzas
Step-by-step explanation:
if you add 2/3+2/3+2/3+2/3+2/3 you get 3 1/3 but its asking how many whole pizzas their are so 3.
image below ill give branliest 20 points question
Answer:
I can't see image
Step-by-step explanation:
why I not see image
HELP PLS I BEGGING :=))))))))
Answer:
28 inches
Step-by-step explanation:
[tex]P = 2(l+w)[/tex]
[tex]P=2(9+5)[/tex]
[tex]P=2(14)[/tex]
[tex]P=28[/tex]
Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
mm
4
M
3
mm
|*
mm
3
mm
Last one for today thank youu
Hope this helps Youuuuuuuu
Please help me, this is do any day now. Tysm! Brainliest to best answer! Find m <1.
(Attachment of the Figure is Displayed Below)
O 57 degrees
O 63 degrees
O 117 degrees
O 123 degrees
Answer:
1 = 123 degrees
Step-by-step explanation:
A Triangle = 180 degrees
A flat line = 180 degrees
To solve this, we need to figure out the triangle first :)
60 + 63 + t = 180
123 + t = 180
180 - 123 = 57
Now that we know the triangle, we can figure out x :)
180 - 57 = 123
1 = 123
Have an amazing day!!
Please rate and mark brainliest!!
8/4 x 3/4. I know it is 1.5 but can someone show step by step? I am having trouble.
[tex]\dfrac 84 \times \dfrac 34\\\\\\=2 \times \dfrac 34\\\\\\=\dfrac 32\\\\\\=1.5[/tex]
Step-by-step explanation:
First divide 8 by 4 and 3 by 4
it will be 2×0.75=1.5
please solve the system of equations below thank you
explain if u can
In this triangle, a = 10 cm, b = 24 cm, and c = 26 cm.
What is the area of this triangle?
312 cm²
240 cm²
130 cm²
120 cm²
120 cm^3
The equation for a triangle: 1/2bh.
1/2(a)(b)
1/2(10)(24)
1/2(240)
120 cm^3
BRAINLIEST For the fastest answer
Hello I need help on this math question
Answer:
23
Step-by-step explanation:
The company warehouse contains 100 pallets of office paper, 25 pallets of photo paper, and 50 pallets of card stock. Each pallet of office paper is valued at $96, each pallet of photo paper is valued at $180, and each pallet of card stock is valued at $110.
Your partner is calculating the inventory value of these papers but thinks there is an error. Where in the calculations below is the error?
Step Description Result
1 Multiply 100 by $96 $ 9,600
2 Multiply 25 by $180 $ 4,500
3 Add $13,100
4 Multiply 50 by $110 $ 5,500
5 Add $18,600
A. Step 1
B. Step 2
C. Step 3
D. Step 4
E. Step 5
Answer:
c.
Step-by-step explanation:
Katrina is going to paint the front door of her house. What is the area of the door? Use 3.14 for pi.
f(x) = x2. What is g(x)?
Answer:
D
Step-by-step explanation:
1/2 * x^2 , x =2
1/2 * 4 = 2
(2,2) is a point confirmed
1x4-9-5/9+100-0+0x67x0 brianlest first answer
Is (2, 8) a solution to the equation y = 6x?
Is (2, 8) a solution to the equation y = 6x?
Answer:
No.
Step-by-step explanation:
Substitute 2 for x and 8 for y in y=6x
8 = 6(2) -> 8 = 12
This is false, so (2,8) is not a solution for y=6x
Find the length of a picture frame whose width is 3 inches and whose proportions
are the same as a 9-inch wide by 12-inch long picture frame.
6 inches
Answer:
correct answer is 9 inches
Step-by-step explanation:
A river 3 m deep and 40 km wide is flowing at the rate of 2 km/h. How much water will fell into the sea in a minute?
Please answer
Answer:
The answer is 4000 m³
Step-by-step explanation:
Given;Depth of river (h) = 3mWidth of river (b) = 40mRate of water flow = 2 km/hour To Find;We have to find out how much water will fall into the sea in a minute.Now,
Rate of water flow = 2 km/hour
= 2000m/60min
= 100 m per min
Now, Volume of water flowed in 1 min,
= (100/3) × 40 × 3 = 4000m³
Thus, 4000 m³ of water will fall into the sea in a minute.
Brainliest for the correct answer (If you say anything completely wrong like 98 you're getting reported): What is the area of the figure?
Answer: 578
Step-by-step explanation:
12 x 7 = 84
13 + 8 + 4 + 10 = 25
25 x 14 = 350
4 x 10 = 40
8 x 13 = 104
84 + 350 + 40 + 104 = 578