Mathematics College

Write the null and alternative hypotheses in words and then symbols for each of the following situations.

a. A tutoring company would like to understand if most students tend to improve their grades (or not) after they use their services. They sample 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year.
b. Employers at a firm are worried about the effect of March Madness, a basketball championship held each spring in the US, on employee productivity. They estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc. They also collect data on how much company time employees spend on such non-business activities during March Madness. They want to determine if these data provide convincing evidence that employee productivity changed during March Madness.

Answers

Answer 1

Answer:

A) the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p^ = 0.5

Alternative hypothesis; Ha: p^ > 0.5

B) Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

Step-by-step explanation:

A) We are told that they sampled 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year. Thus, there will be a 50% chance of success for their grades to have improved and a 50% chance for it to remain the same.

Thus; p^ = 0.5

So the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p = 0.5

Alternative hypothesis; Ha: p > 0.5

B) We are told that they estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc

Also, They also collect data on how much company time employees spend on such non-business activities during March Madness.

The hypotheses in words and symbols are;

Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

Answer 2

The Null hypothesis is the initial truth which we would like to counter using the alternative hypothesis. The Null and Alternative hypothesis for the given situation are :

1.)

Null hypothesis : There have been no change in the grade obtained by the students.

Alternative hypothesis : The grade obtained by the students have improved as students now attain better grades after attending the tutoring class

Using symbol :

[tex] H_{0} : \hat {p} = 0.5 [/tex][tex] H_{1} : \hat {p} > 0.5 [/tex]

2.)

Null hypothesis : There is no change in the productivity of employees during the period as the amount of time spent on non-business activities remains the same.

Alternative hypothesis : There is a change in productivity has employees spend more than 15 minutes engaging on non-business activities.

Using symbol :

[tex] H_{0} : μ ≤ 15 [/tex][tex] H_{1} : μ > 15 [/tex]

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Related Questions

How to simplify this equation?

Answers

Answer:

10/9 +  [tex]\frac{1}{3} \sqrt{10}[/tex] i

Step-by-step explanation:

([tex]\frac{1}{3} \sqrt{5}[/tex] - [tex]\frac{1}{2} \sqrt{2}[/tex]i) ² =

([tex]\frac{1}{3} \sqrt{5}[/tex] )² + 2([tex]\frac{1}{3} \sqrt{5}[/tex] [tex]\frac{1}{2} \sqrt{2}[/tex])i - ([tex]\frac{1}{3} \sqrt{5}[/tex]i) ² =

5/9 + [tex]\frac{1}{3} \sqrt{5}[/tex] [tex]\sqrt{2}[/tex] i - (5/9. (-1)) =

10/9 +  [tex]\frac{1}{3} \sqrt{10}[/tex] i  

Here see the attachment

James went to the store and bought a pair of shoes on sale for $40.00. This week they were a regular price of $64.50. What was the percent discount that he bought the shoes for?
I need work shown.

Answers

Answer:

A. 62%

Step-by-step explanation:

64.50x = 40

x = 0.62015 or 62%

This means 62% of original price is $40, discount is 38%. From your options seem to be asking for percent of original price paid and not discount.

If f(x) = 4x-3, which of the following is the inverse of f(x)?
7x+3
O A. F'(X) =
4
4x-3
O B. F'(x) = 447
7x-3
O c. F'(x) =
4
O D. F'(x) = 4***
SUBMIT
Math

Answers

Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}[/tex]

Step-by-step explanation:

[tex]f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x+3}{4}\\\\y=\dfrac{x+3}{4}\to y=\dfrac{1}{4}x+\dfrac{3}{4}[/tex]

Gretta wants to buy a jar of fossils that is 10% off. The original price is
$47.82.
What is amount of discount (nearest penny)?

Answers

Answer:

4.78

Step-by-step explanation:

=47.82 x 10/100

=47.82 x 1/10

=4.782

=~ (approx) 4.78

James says that 12 is a common factor of 3 and 4. June says that 12 is a common multiple of 3 and 4. Who is correct?

Answers

Answer:

June is correct.

Step-by-step explanation:

June is correct because Common Multiples are what we get after multiplying the number while common factors are what we can multiply to get the number.

PLS HELP DONT ANSWER IF YOU DONT KNOW ALSO I WILL MARK BRAINLIEST

Answers

Answer: Absolute value is always positive so the two negative answers can’t be it. The plotted dot is also clearly past 1 on the number line so .75 doesn’t make sense either. The only logical answer is 1.25
i’m pretty sure it’s a

Jimmy earns money for babysitting his little
brother. He earns the same amount every
week. He is saving all the money he earns for a
summer trip. The table shows how Jimmy's
savings have been growing.

Answers

I need the table and the answer choices to help you though

Evaluate this expression when p = 4 and q = -2:
4(√p+q²)

A. 4
B. -8
C. 12
D. 24

Answers

4(root4+(-2)^2)= 4(2+4)=4(6)=24

Answer:

24

Step-by-step explanation:

Given h (x) = -x -3, find h (-6)

Answers

Answer:

h(-6) = 3

Step-by-step explanation:

h(x) = -x - 3 when h(-6).

~Substitute

h(-6) = -(-6) - 3

~Simplify

h(-6) = 6 - 3

~Subtract

h(-6) = 3

Best of Luck!

If ƒ (x ) = 3x2 - x, find ƒ (-2).

Answers

Answer:

f(-2) is 14.

Step-by-step explanation:

We have been given the function:

We have to find f(-2)

That means put x= -2 in the given function we get:

After simplification we will get:

After further simplification we will get the required result:

 Hence, ƒ (-2) is 14

6. What is an equation of the line that passes
through the point (2, 4) and is perpendicular to
the line whose equation is y = 2x + 1?

Answers

Answer:

Using the slope-intercept form, the slope is 2 2 .

Step-by-step explanation:

The equation of a perpendicular line to y=2x+4 y = 2 x + 4 must have a slope that is the negative reciprocal of the original slope.

There are 33 students in your class. Yesterday, 9 students were absent. What decimal represents the students were absent? *

Answers

Answer:

27.27% of the class was absent

Step-by-step explanation

Given that R= 4x +6y find x when y= 4 and R=11

Answers

Answer:

The value of x:

[tex]x=-\frac{13}{4}[/tex]

Step-by-step explanation:

Given the equation

[tex]R=4x+6y[/tex]

substituting the values y=4 and R=11

[tex]R=4x+6y[/tex]

[tex]11=4x+6\left(4\right)[/tex]

[tex]11=4x+24[/tex]

[tex]11-24=4x[/tex]

switching the sides

[tex]4x=11-24[/tex]

Subtract the numbers: 11-24=-13

[tex]4x=-13[/tex]

Divide both sides by 4

[tex]\frac{4x}{4}=\frac{-13}{4}[/tex]

[tex]x=-\frac{13}{4}[/tex]

Therefore, the value of x:

[tex]x=-\frac{13}{4}[/tex]

A tank initially contains 130 gallons of water. It is then filled with more water, at a constant rate of 8 gallons per minutes. Write an equation that represents how much water is in the tank after m minutes.

Answers

Answer: 130+8(m)

Step-by-step explanation: you want to add how much water times m is added to your very first amount

Please hurry please

Answers

Answer:

No

Step-by-step explanation:

it doesn't add up so. No.

scrieti primi doi mmultipli omuni ai numerelor naturale a) 4 si 6 b)6 si 9
raspunsul repede va rog

Answers

Answer:

Step-by-step explanation:

(a).

Multiples of 4 are {4, 8, 12, 16, 20, 24, 28, ..... }

Multiples of 6 are {6, 12, 18, 24, 30, ..... }

12 and 24

(b).

Multiples of 6 are {6, 12, 18, 24, 30, 36, 42, ..... }

Multiples of 9 are {9, 18, 27, 36, 45, ..... }

18 and 36

What I Know (Pre-Test)

Click the pin


I am still grade 5

Okay I ned high age so I can get in Brainly ph

Dis is my 3/5 account

Answers

Answer:

1. 1/7 x 7/1= 1

2. 5/9 x 9/5= 1

3. 23/11 x 11/23= 1

4.  13/61 x 61/13= 1

5. 8/9 x 9/8= 1

Explanation:

when finding the reciprocal of a fraction, the numerator becomes the denominator, and the denominator becomes the numerator. keep in mind that when you multiply a fraction by its reciprocal, it will always equal 1.

PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU! 5.3x - 9 + 7.6x

Answers

Answer:

12.9x-9

Step-by-step explanation:

5.3x-9+7.6x

5.3x+7.6x = 12.9x

=12.9x-9

Pls help thanks :)


..................

Answers

The answer would be -1/2
-1/2 yes sirrrrrrrrrr

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Answers

Answer:

Do Y divided by X.

Step-by-step explanation:

This is normally what I do so hope I helped.

According to Bill Nye, How many people need to be in a room for there to be 50% chance of atleast 2 people having the same birthday?a. 128 b. 56 c. 29 d. 12

Answers

Answer:

the answer is actually 23 people

Step-by-step explanation:

Bill Nye's birthday paradox can be explained in the following manner:

first we must find the probability that in a room with 23 people, no two people have the same birthday

probability of no two people having the same birthday = 365/365 x 364/365 x 363/365 x 362/365 ... you keep multiplying until 343/365 = 0.492703

so the probability that in a room with 23 people, no two people have the same birthday = 49.2703%

the probability of two people having the same birthday = 1 - probability of no two people having the same birthday = 1 - 49.2703% = 50.7297%

5 times a number increased by 4 is at least
nineteen

Answers

Answer:

5(x+4) ≥ 19

x ≤  -1/5

Step-by-step explanation:

5(x+4) ≥ 19

5x + 20 ≥ 19

5x ≤  -1

x ≤  -1/5

x = ? ..................................​

Answers

Answer:

x = 40

Step-by-step explanation:

The  two sides on top are congruent,  Kites have two pairs of adjacent sides that are equal. so since it's 40 degrees on one side, the same will happen to the other.

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Answers

Answer:

Step-by-step explanation:

50% mi amigo

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Boden’s account has a principal of $800 and a simple interest rate of 3.3%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?

Answers

Answer: 800 x 1.033^4 = 910.94 (result is rounded)
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