Sales commissions: A company studied two programs for compensating its sales staff. Nine salespeople participated in the study. In program , salespeople were paid a higher salary, plus a small commission for each item they sold. In program , they were paid a lower salary with a larger commission. Following are the amounts sold, in thousands of dollars, for each salesperson on each program
Salesperson
Program 1 2 3 4 5 6 7 8 9
A 55 22 34 22 25 61 55 36 68
B 53 24 36 28 31 61 58 38 72
Required:
Can you conclude that the mean sales differ between the two programs? Use the α = 0.05 level of significance
Using the t-distribution, it is found that since the absolute value of the test statistic is less than the critical value for the two-tailed test, you cannot conclude that the mean sales differ between the two programs.
At the null hypothesis, it is tested if the mean sales do not differ between the two programs, that is, the subtraction of the means is 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypothesis, it is tested if they differ, that is:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
The mean and the standard errors for each sample are:
[tex]\mu_1 = 42, s_1 = 5.9675[/tex]
[tex]\mu_2 = 44.56, s_2 = 5.6177[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_2 - \mu_1 = 44.56 - 42 = 2.56[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{5.9675^2 + 5.6177^2} = 8.1957[/tex]
The test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Then:
[tex]t = \frac{2.56 - 0}{8.1957}[/tex]
[tex]t = 0.31[/tex]
The critical value for a two-tailed test, as we are testing if the mean is different of a value, with 9 + 9 - 2 = 16 df and a significance level of 0.05 is [tex]|t^{\ast}| = 2.12[/tex]
Since the absolute value of the test statistic is less than the critical value for the two-tailed test, you cannot conclude that the mean sales differ between the two programs.
A similar problem is given at https://brainly.com/question/13873630
toby used 4 inches of tape to wrap a gift how much tape will he need to wrap 5 more of the same gift?
Answer:
20
Step-by-step explanation:
4*5 = 20%
What is the average number of 20 14 28 18
Step-by-step explanation:
Avg = 20 + 14 + 28 + 18 /4
Avg = 80/4 = 20
Consider the inequality. Which value of x is a solution to the inequality?
Answer:
12-4
6+3
Step-by-step explanation:
4 time 3 equals 12
3 times 2 equals 6
I need help on my algebra test. I’m reaching out because I’m really stuck and have no teachers available. Can you help me solve for y?
where is the question?
Beth drops a bouncy ball, which bounces back up again. The graph 'below shows the
beginning path of the ball.
Answer:
Step-by-step explanation: its a
10.
Use the quadratic function to predict y if x equals 6.
y = 2x2 − 2x − 2
A. y = 60
B. y = 58
C. y = −60
D. y = −58
Answer:
B. y = 58
Step-by-step explanation:
b) y=58 you follow the instructions
...............................................................................................................................................
The given quadratic function is
y= 2x^2 - 2x - 2
We have to find the value of the function y at x=6.
Substitute x=6 in the given function.
y= 2(6)^2 - 2(6) - 2
y= 2(36) - 12 - 2
y= 72 - 14
y= 58
The value of the function is 58 at x=6 is 58.
Therefore the correct option is B.
whats the answer can someone answer please
Answer:
17. 4
18. 4w + 34
19. 39t + 54
Step-by-step explanation:
Answer:
answer of QN 17 is 3 ,answer of QN 18 is 4w + 34 and answer of QN 19 is 39t + 54
40 points! Help (Vectors)
Answer:
distance, speed, time, temperature , work, energy, charge, voltage are all scalar quantities. Displacement, velocity, acceleration, force, electromagnetic field are all vector quantities.
Step-by-step explanation:
Displacement and velocity.
Nia solved the equation -1.98 = 5.2 v + 13.1. Her answer was v = -2.9. She is fairly confident about her answer, but wants to do a quick check of her solution using estimation to make sure her answer is reasonable.
Which of the following shows a good check of her answer?
-2 = 5(-2) + 13
-1 = 5(-2) + 13
-3 = 5(-2) + 13
-2 = 5(-3) + 13
Answer:
you can obviously round the -2.9 to -3, check they distributed -3 to one and thats the answer!
What number is missing from the table of equivalent ratios
8 is missing for the table
-
3-(2n + 5)
3 + (2n + 5)-1
Answer:
I think it's 3n+7
-------
3n+8
Step-by-step explanation:
Function or non functional ? Pls help :c
Answer:
none functional
was I right?
Step-by-step explanation:
domain for f(x) = -0.25(x − 4) 2 − 6
Answer:
The domain will be (-8,8), {x|x E R}
Step-by-step explanation:
The -8,8 has to be sideways on the right. Thats the answer.
Form an equation to help you solve this problem Four identical lumps of gold on one side of some scales balance with one identical lump and a 22kg mass. Find the mass of one lump of gold. kg
Answer:
equation= 4x=x+22kg
Step-by-step explanation:
i hope it helped :))
what would reason 4 and 5 be??
Step-by-step explanation:
These 2 are given at the top:
∠DEG≅∠FGE
DE≅GF
Theres also this:
EG≅GE
because they are the same side.
I'm not sure what the dropdown options you get are, but this is how I would answer.
ΔDEG≅ΔFGE because of SAS congruency
DG≅EF because the triangles are congruent, and therefore all corresponding sides and angles are congruent
brainliest? :)
A shirt that normally cost $30 is on sale for $21.75 what percent of the regular price is the sale price
Answer: 72.5%
Step-by-step explanation:
I used trial and error to figure this out.
I first found a quarter of 30 which is 7.5, so the percentage is near 75% since when 7.5 is times by 3 it becomes 22.5 which is close. Then I found what one is by dividing 30 by 100 and guessed the percentages getting closer to the answer basing on whether my last answer was to low or high and found 72.5% of 30 is 21.75 so the answer is 72.5%.
I Need help asap PLS HURRY
A parabola having its axis vertical passes through three points A(0,0), B(1,0), and C(5,-20) respectively. Determine the coordinates of the vertex of the parabola.
Answer:
(1/2, 1/4)
Step-by-step explanation:
This is gonna be long. The x coordinate of a parabola's vertex = -b/2a. Now we have to find the equation of the parabola. Using the given points and plugging them into y=ax^2 + bx + c, we can determine:
0 = c
0 = a + b
-20 = 25a + 5b
After rearranging and solving, we get:
b = -a
-20 = 20a
a = -1
b = 1
y = -x^2 + x
Now we can find the x coordinate of the vertex, which is 1/2. After plugging this into our parabola, we get a y coordinate of -1/4 + 1/2 = 1/4. Therefore, the vertex is located at (1/2, 1/4).
50 points! Help (Vectors)
The magnitude of a vector a is the length of the vector.
We write it ||a||
We can draw a right triangle and apply the pythagoras theorem. The magnitude of a will be the hypotenuse :
||a||² = 3² + 3²
||a||² = 9 + 9
||a||² = 18
||a|| = √18 = √(9*2) = 3√2 ≈ 4.24
So the answeer is 4.24
Good Luck
A shirt cost $24.92 with 10% discount if the sales tax is 6.35% how much will the shirt cost?
what is the relevance of the background of the study in your research paper?
Answer:
The relevance of the background is to give more insight into a topic you are researching. It can provide clarifying information to your reader.
Hope this helped and have a great day,
Ginny
Step-by-step explanation:
you want to frame a photo from your trip to send home selective frame that suitable for a photo with a perimeter of 70 cm
describe these sets June July january
Answer:
Months that start with the letter "J"
Step-by-step explanation:
Kelly sells 62 shares of stock she owns for a total of $433. If the stock was in two different companies, one selling at $6.50 a share and the other at $7.25 a share, how many of each did she sell?
Answer:
s = 40 shares (# of 7.25 shares)
x = 22 shares (# of 6.50 shares)
Step-by-step explanation:
Quantity Equation:: x + s = 62 shares
Value Equation::: 6.50x+7.25s = 433 dollars
---------------------------
Modify for elimination:
6.5x + 6.5s = 6.5*62
6.5x + 7.25s= 433
-----------------------------
Subtract and solve for "s":
0.75s = 30
-----
s = 40 shares (# of 7.25 shares)
x = 22 shares (# of 6.50 shares)
Hope this helps
l
Choose all sets that contain the number 5.
Natural numbers
Whole numbers
Integers
Rational numbers
Irrational numbers
Real numbers
Whole numbers
Natural numbers
Real nunbers
Write a variable expression for the length of the bottom black bar with a being the length of the orange bar:
Answer:
orange divide by 3?
Step-by-step explanation:
looking at the graph, it looks like orange is 3x the length of black,
so black will be Orange/3
Select the correct answer
Consider the given solids with the dimensions shown. Which solids are similar?
Aonly figure 1 and figure 2
B.only figure 2 and figure 3
c.only figure 1 and figure 3
D. all three figures
E none of the figures
only figure 1 and figure 3 are similar.
What is similarity?Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
In figure 1, two of the sides (16 and 9 ) are perfect square and third is not.
If we take the ratio of three side as
16:9:12
(4)²:(3)²:(2√3)²
Similarly, In figure 3 two of the sides (64 and 36 ) are perfect square and third is not.
If we take the ratio of three side as
64:36:48
(8)²:(6)²:(4√3)²
Comparing the ratios of both figure, the figure 3 has twice the measurement of figure 1 sides.
Hence, only figure 1 and 3 are similar.
Learn more about this concept here:
https://brainly.com/question/12670209
#SPJ1
Which of the following shows the
Commutative Property?
A 3 + 6 = 6-3
B 3X 6 = 6 = 3
C 3X 6 = 6 - 3 X (3 X 2)
D 3 X 6 = 6 X 3
Answer:
D
Step-by-step explanation:
Commutative switchs the numbers but not with subtraction or divion
Answer:
it is D I know because it is the opposite
select the reasons
options for #3
- definition of a quadrilateral
- if two lines are parallel and cut by a transversal, then the alternate interior angles are congruent
options for #5
- ASA congruence property
- SAS congruence property
- definition of a quadrilateral
Step-by-step explanation:
Givens:
ParallelogramQR || TSQT || RSQS ≅ SQWith that information, we can figure out the rest.
∠RQS≅∠TSQ and ∠QSR≅∠SQT --- these are alternate interior angles, on opposite sides of the transversal QS while between parallel lines
Finally, ΔQST≅SQR because of ASA.
===============
sorry that took so long, I severely overcomplicated things before seeing the simple solution