Mathematics College

An analyst wants to determine if there is any difference in the amount of time teenagers play video games between two years. To do this, he takes a random sample of teenagers and gathers the average time they spent playing video games the previous year and compares it to the average time they spent playing video games this year. Suppose that data were collected for a random sample of 15 teenagers, where each difference is calculated by subtracting the time spent playing video games this year from the time spent playing video games last year. Assume that the times are normally distributed. What is/are the critical value(s) of the t-test statistic for this hypothesis test, where α=0.10? Use a comma and a space to separate answers as needed.

Answers

Answer 1

Answer:

The critical value is [tex]t_{\frac{0.10}{2} , 14 } =[ - 1.761,1.761][/tex]

Step-by-step explanation:

From the question we are told that

The sample size is n = 15

The level of significance is [tex]\alpha = 0.10[/tex]

The null hypothesis is [tex]H_o : \mu _1 = \mu_2[/tex]

The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2[/tex]

Here [tex]\mu_1[/tex] is average time for previous year

[tex]\mu_2[/tex] is the average time for current year

Generally the degree of freedom is mathematically represented as

[tex]df = n -1[/tex]

=> [tex]df = 15 - 1[/tex]

=> [tex]df = 14[/tex]

Generally from the student t distribution table the critical value for [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 14[/tex] for a two tailed test is

[tex]t_{\frac{0.10}{2} , 14 } =[ - 1.761,1.761][/tex]

Related Questions

What is the surface of this rectangular prism? I-Ready

Answers

Answer:

290 square inches

Step-by-step explanation:

A=2(wl+hl+hw)=2·(5·5+12·5+12·5)=290

Jodha wants to tip the pizza delivery person 20%. If the cost of the pizzas is $15.99, what would be a reasonable amount to tip?

Answers

Answer:

$3.20

Step-by-step explanation:

20%-> .20

15.99*.20

Answer:

$3.20

Step-by-step explanation:

divide 15.99 by 100

[tex]\frac{15.99}{100}[/tex]=0.1599

you now have 1%of the cost

multiply by 20 to get 20%

0.1599*20=3.198

round to 2 decimal places to get the amount he will tip

3.20

Wendi is 6 years older than Zaviel. The sum of their ages is 30. Which of these systems of equations can be used to find Wendi's age (w) and Zaviel's age (z)?

Answers

For Wendy’s age you can’t do 30-6=24 and then for Zaviel’s you can do 24-6=18 so Wendy is 24 years old and Zaviel is 18 years old.
30-6=w
W-6=z
30-6=24(w)
24-6=18(z)

The system of equations for the ages of Wendi and Zaviel can be obtained as x = y + 6 and x + y = 30 respectively.

What is a system of linear equations?

A system of linear equations is a group of equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

Suppose the age of Wendi and Zaviel be x and y respectively.

Then, the equation for their age can be written as,

x = y + 6

And, the equation for the sum of ages is given as,

x + y = 30

Hence, the equations that represent the given case are x = y + 6 and x + y = 30 respectively.

To know more about system of equations click on,

brainly.com/question/24065247

#SPJ2

Lucas wants to write
3 ÷ 2 as a mixed number. He performs the division below.
3÷2=1 R1
Explain how to write the quotient as a mixed number. Drag the words to complete the explanation. Words may be used once or not at all. quotient added to remainder divisor Use the whole number part of the as the whole number part of the mixed number. Write the quotient in the numerator of the fraction and write the dividend in the denominator of the fraction.

Answers

Lucas wants to write 3 ÷ 2 as a mixed number. He performs the division below.

3 ÷ 2 = 1 R1

[tex]\sf \dfrac{3}{2} \rightarrow 1\dfrac{1}{2}[/tex]

remainder : 1

divisor : 2

quotient : 1

dividend : 3

================================================================

Use the whole number part of the Quotient as the whole number part of the mixed number.

Write the Remainder in the numerator of the fraction and write the

Divisor in the denominator of the fraction.

Solve the following proportion for x

Answers

B.

Best answer to give

Answer:

x=500

Step-by-step explanation:

[tex] \frac{2}{3} = \frac{x}{750} \\ 3 \times x = 2 \times 750 \\ 3x = 1500\\ \frac{3x}{3} = \frac{1500}{3 } \\ x = 500 [/tex]

5a x 3 x 2b
simpilist form???

Answers

Answer: 30ab

Explanation:

5a * 3 * 2b

10a * 3b

= 30ab

Answer:

30a[tex]x^{2}[/tex]b

Step-by-step explanation:

When you simplify an expression, you're basically trying to write it in the simplest way possible. In the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do. For example, take this expression: 4 + 6 + 5.

Hope it helps!!!Brainliest pls!!!

The area of a sector of a circle with a central angle of 6pi/5 rad is 31 km2.

Find the radius of the circle.
r =
km

Answers

Answer:

4.06 km

Step-by-step explanation:

The area of the sector of a circle is given by the formula ...

A = 1/2r²θ

Filling in the given information, we have ...

31 km² = 1/2(r²)(6π/5)

Solving for r gives ...

r² = (31 km²)(5/(3π)) ≈ 16.446 km² . . . . divide by the coefficient of r²

r ≈ 4.055 km . . . . . . take the square root

The radius of the circle is about 4.06 km.

1. A point is a position, true or false

Answers

true true true true true true true

HURRY I'LL GIVE YOU BRAINLYST At lunch, Allan drank 2 pints of chocolate milk. How many fluid ounces is this equal to?
8 fl oz
16 fl oz
64 fl oz
32 fl oz

Answers

Answer:

32 flucold correct

Step-by-step explanation:

please mark me as brainlist please

Answer:

32 FL oz

Step-by-step explanation:

16 x 2 is 32

im confused on this, anyone have an idea what they mean?

Answers

Answer:

This looks like the perimeter formula for a rectangle :)

Step-by-step explanation:

I could be wrong but i hope this helps

(2-8j)(5+6j)

please help answer this

Answers

Answer:

-48j²-28j+10

Step-by-step explanation:

Multiple each term in the first parentheses by each term in the second parentheses (FOIL)

2×5 + 2×6j - 8j×5 - 8j×6j

Multiple the numbers

=10 + 2 × 6j - 8j × 5 - 8j × 6j

=10 + 12j - 8j × 5 - 8j × 6j

=10 + 12j - 40j - 8j × 6j

= 10 + 12j - 40j - 48j²

Collect like terms

10 - 28j - 48j²

Reorder the terms using the commutative property

-48j² - 28j + 10

Hope this was timely!

Have a great week (or weekend)…!

;-)

Larissa had 25 feet of ribbon. She equally divided
all the ribbon to make 8 bows for gift boxes. How
many feet of ribbon were used for each bow?

Answers

Answer:

3 feet of ribbon

Step-by-step explanation:

Simply divide 25 by 8. Then you get 3 feet with a remainder of 1.

A local bakery did a survey to determine if customers preferred glazed doughnuts or frosted doughnuts. They found the ratio of glazed to frosted was 8:5. If they surveyed 260 customers,which.proportion can be used to find the number of customers who preferred glazed, x?

Answers

Answer:

Step-by-step explanation:

because i said so

how to solve 7,579 x 189 pls I need help

Answers

Use a calculator or do it on paper it’s not that hard

Please help I need this done by 3 I don't wanna fail

Answers

Answer:

(x,y)= (x+4, y+6)

Step-by-step explanation:

The translation is right 4 up 6

Answer:sorry ave trobule with this but there is a app about it it is

Step-by-step explanation:

Scientific Notation Calculator rapid tables it helps alot

What is an equation of the line that passes through the points
(
4
,
8
)
(4,8) and
(
−
2
,
−
7
)
(−2,−7)?

Answers

Answer:

[tex]y = \frac{15x + 30 - 42}{6} [/tex]

Find the cube of 6
please tell me cube of 6

Answers

Answer:

6^3 = 216 ( to the power of three )

Answer:

here's your answer

cube of 6 is 216

From the given graph, the rise, run and slope of this graph are 1, 5, and 1/5 respectively.

Slope of a Line

This is the ratio between the rise and run i.e y-axis and x-axis.

The rise any graph is the change in the y-axis.

Rise

[tex]\delta y = y_2 - y_1[/tex]

The rise in this graph will be

[tex]\delta y = 1 - 0 = 1[/tex]

Run

The run on any graph is the change in the x-axis.

[tex]\delta x = x_2 - x_1[/tex]

The run on this graph is

[tex]\delta x = 5 - 0 = 5[/tex]

Having the values of rise and run, we can find the slope of this graph

[tex]m = \frac{\delta y}{\delta x} = \frac{1}{5}[/tex]

The rise, run and slope of this graph are 1, 5, and 1/5 respectively.

Learn more on slope here;

https://brainly.com/question/3493733

When a country imports more than its exports,it has a(n)

Answers

It has a trade deficit.

When a country imports more than how much it gives, it has a trade deficit.

100 POINTS
The graph of f ′ (x), the derivative of f(x), is continuous for all x and consists of five line segments as shown below. Given f (0) = 6, find the absolute maximum value of f (x) over the interval [0, 5].

graph of line segments increasing from x equals negative 4 to x equals negative 3, decreasing from x equals negative 3 to x equals 0, increasing from x equals 0 to x equals 3, constant from x equals 2 to x equals 4 and decreases from x equals 4 to x equals 5. x intercepts at x equals negative 4, x equals 0, x equals 5

2
8
11
13

Answers

The graph of f'(x) is given, so if you find the area under the graph, that will be the value of f(x). Calculate the area of the shape under the graph from x values 0 to 4. This shape should look like a trapezoid. The area you find is actually the change in f(x) from 0 to 4. You will need to add that area to the initial value the problem gave you: f(0)=7.

Area of a trapezoid = h(b2+b2)/2
Height of the trapezoid = 2
Base 1= 2
Base 2 = 4
Area of trapezoid from [0,4] = 6

Initial value: f(0)=7

Absolute Maximum F(x): 6 + 7 = 13

Write 7/10 as a sum of fractions two different
ways.

Answers

Answer:

0.70, 70/100 and 14/20

52×3= 104×3=312 so its 312

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