A researcher is interested in testing to determine if the mean price of a casual lunch is different in the city than it is in the suburbs. The null hypothesis is that there is no difference in the population means (i.e. the difference is zero). The alternative hypothesis is that there is a difference (i.e. the difference is not equal to zero). He randomly selects a sample of 9 lunch tickets from the city population resulting in a mean of $14.30 and a standard deviation of $3.40. He randomly selects a sample of 14 lunch tickets from the suburban population resulting in a mean of $11.80 and a standard deviation $2.90. He is using an alpha value of .10 to conduct this test. Assuming that the populations are normally distributed and that the population variances are approximately equal, the degrees of freedom for this problem are _______.

Answers

Answer 1

Answer:

The degrees of freedom for this problem are 21

Step-by-step explanation:

Degrees of freedom:

When testing an hypothesis involving two samples, the number of degrees of freedom is given by:

[tex]df = n_1 + n_2 - 2[/tex]

In which [tex]n_1[/tex] is the size of the first sample and [tex]n_2[/tex] is the sample of the second sample.

In this question:

Samples of 9 and 14, so [tex]n_1 = 9, n_2 = 14[/tex]

The degrees of freedom for this problem are

[tex]df = n_1 + n_2 - 2[/tex]

[tex]df = 9 + 14 - 2 = 21[/tex]

The degrees of freedom for this problem are 21

Answer 2

The required degree of freedom is 21.

Given that,

He randomly selects a sample of 9 lunch tickets from the city population resulting in a mean of $14.30 and a standard deviation of $3.40.

He randomly selects a sample of 14 lunch tickets from the suburban population resulting in a mean of $11.80 and a standard deviation $2.90.

He is using an alpha value of .10 to conduct this test.

We have to find,

The degrees of freedom for this problem are.

According to the question,

Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.

Degrees of freedom are commonly discussed in relation to various forms of hypothesis testing in statistics, such as a chi-square.

When testing an hypothesis involving two samples, the number of degrees of freedom is given by,

[tex]Degree \ of \ freedom = n_1+n_2-2[/tex]

Where, [tex]n_1[/tex] is the size of the first sample and [tex]n_2[/tex] is the sample of the second sample.

[tex]n_1 = 9 \ and\ n_2 = 14[/tex]

Therefore,

[tex]Degree \ of \ freedom = 9+14-2\\\\Degree \ of \ freedom = 21[/tex]

Hence, The required degree of freedom is 21.

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Related Questions

What’s (-3 , 1) reflected over the x-axis

Answers

Answer: (-3,-1)

Step-by-step explanation:


PLEASE HELP 30 POINTS

Answers

4

one of the functions equals 0 while the other equals 4

0+4=4

Answer:

Step-by-step explanation:

it's asking what is the y out put.. if you added  the green line with the red line at the input of 2.    I feel like graph math ever clearly states what they want you to understand or give an answer to. you are just supposed to "get it" and most people don't just "get it".   anyway..  so add  the red lines y value at the x of 2 with the green lines y value at 2

0+2 =2

I also feel like the answer to made to totally confuse people too.   b/c of how how when you input a 2 and add the two graphs, you also get a 2 , it's just circular and confusing.

2 is the answer BTW  :p

please answer in full process
questions
Given L || M find the value of unknown angles in each of the following figures​

Answers

Answer:

Angle x = 120 degrees

Angle y = 60 degrees

Step-by-step explanation: Angle x has to be equivalent to the 120 degree angle that is already given since lines l and m are parallel as well as lines p and q. To find angle y, you must realize that angles x and y are supplementary angles, so their sum is 180 degrees. Since we now know that angle x is 120 degrees, you must subtract 120 from 180 in order to find the value of angle y: 180 - 120 = 60 degrees. I'm sure that there are other methods to figuring this question out, but this is how I did it.

At the store you have 2 options for Speedy Clean Laundry Detergent. One bottle costs $4.99 for 50 fl . oz The other bottle costs $7.50 for 90 fl. oz Which is the better buy?​

Answers

Answer: the bigger bottle (90 fl. oz) is better value

Step-by-step explanation:

One method is to scale the quantities up to the same value.

The LCM (lowest common multiple) of 50 and 90 is 450

9 of the smaller bottle will cost $44.95 and contain 450 fl. oz

5 of the bigger bottle will cost $37.50 and also contain 450 fl. oz

A second method is to find the cost per (say) 10 fl. oz from each bottle

In the 50 fl. oz bottle each 10 fl. oz costs 4.99 / 5 = $0.998

In the 90 fl. oz bottle each 10 fl. oz costs 7.50 / 9 = $0.8333...

Calculate the sample mean and sample variance for the following distribution of heights in centimeters for an 8 year old boy

Answers

Answer: To calculate the sample mean of a distribution, you add up all the values and divide by the number of values in the sample. The sample mean is also known as the average.

The formula for the sample mean is:

X-bar = (X1 + X2 + ... + Xn) / n

To calculate the sample variance of a distribution, you first need to calculate the sample mean. Then, for each value, you subtract the sample mean and square the result. You add up all these squared differences, and divide the sum by the number of values in the sample.

The formula for the sample variance is:

s^2 = ( (X1 - X-bar)^2 + (X2 - X-bar)^2 + ... + (Xn - X-bar)^2 ) / (n - 1)

It would be helpful to have the sample data, however I cannot complete this task without it.

Please provide me with the data.

Step-by-step explanation:

What is XY?
help me please

Answers

here x = option c and here y= option a

Write the equation of the line that passes through the points (0,8) and (-1, –4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

Step-by-step explanation

First, let's remember the equation for point-slope form and how to find the 'm' value:

[tex]y-y1 = m (x-x1)\\m = rise/run\\m = \frac{-4-(8)}{-1-(0)} = 12[/tex]

Now plug your m value and (x1, y1) into point-slope form:

[tex]y - 8 = 12(x-0)\\reduce\\y=12x+8[/tex]

Find m P. Quadrilateral

Answers

Answer:

m∠P = 107º

Step-by-step explanation:

Since two sides are parallel this is a trapezoid

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180 degrees.

(7x + 31) + (21x - 19) = 180

combine like terms

28x + 12 = 180

Subtract 12 from both sides

28x = 168

Divide both sidees by 28

x = 6

m∠P = 21x - 19

m∠P = 21(6) - 19

m∠P = 107º

write two equivalent expressions one exponential and one a product of factors, for 4 to the 5th power evaluate the expressions

Answers

Answer:

4^5 = 1024

4×4×4×4×4 = 1024

Step-by-step explanation:

An exponential expression is going to have an exponent representing the repeated multiplication. 4 times itself 5 times over is 4^5.

A product of factors is going to show the multiplication written out sort of in a long format:

4 × 4 × 4 × 4 × 4

4^5 = 1024

4×4×4×4×4 = 1024

Arnold has 4 pitchers. Each pitcher holds [tex]\frac{7}{8}[/tex] gallon of juice. Which equation can Arnold use to determine the number of gallons of juice in the pitchers?

Answers

Answer:

4 * 7/8

Step-by-step explanation:

It's asking to multiply.

altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two
equal
segments. The length of the altitude is 36 inches, and the length of the base is 12
inches. Find the triangle's perimeter. Round to the nearest tenth of an

Answers

Answer:18

Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18

What is the surface area of the rectangular prism shown below?


A. 159 in2
B. 294 in2
C. 318 in2
D. 378 in2

Answers

Answer:

I am sure the answer is 300

C. 318in2 because a=2(wl+hl+hw)

The foot, the pound, and the gallon are all example of ______ units. This system of measurement was first devised in England

Answers

Are all examples of imperial units, possibly

find the exact value of sin 13pi/6

Answers

Answer: 0

Step-by-step explanation:

Khan academy. ??????? Math

Answers

Answer:

Step-by-step explanation:

There should be a video to help you probably says something like hint? then click there

Answer:

They have videos you can watch

Step-by-step explanation:

those videos will help explain them better and show you exactly how to do that problem

Triangles XYZ and ABC are congruent. The side length of each square on the grid is 1 unit.

Which of the following sequences of transformations maps XYZ onto ABC?

Sequence A: A translation 2 units to the right and 10 units up, then a reflection over the line AC.

Sequence B: A translation 6 units to the right and 6 units up, then a 180° rotation about point B.

Choose 1 answer:
A: Only sequence A
B: Only sequence B
C: Both
D: Neither​

Answers

Answer:

Only sequence B

Step-by-step explanation:

Got the answer from Khan Academy.

A translation 6 units to the right and 6 units up, then a 180° rotation about point B. The correct option is B.

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation. Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

It is given that triangles XYZ and ABC are congruent. The side length of each square on the grid is 1 unit.

In the figure, we can see the translation 6 units to the right and 6 units up, then a 180° rotation about point B.

Therefore, the translation is 6 units to the right and 6 units up, then a 180° rotation about point B. The correct option is B.

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my mom will kill me please help

Answers

If the perimeter of the triangle is 64 units, then the length of the side PR is 24 units.

What is a Triangle?

This is referred to as a three-sided polygon that consists of three edges and three vertices and the longest side is referred to as the hypotenuse.

The perimeter of a triangle is the sum of all the sides which is:

P = a + b + c

64 = 3x +4x - 1 + x + 1

64 = 8x

x = 64/8 = 8 units

Therefore the length of side PR is :

3x = 3 (8) = 24 units.

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Carter ran 7/8 mile in a race. Taylor ran 1/4 mile. How much further for carter run than Taylor?

Answers

Answer:

1 17/20 is the answer

Answer:

5/8

Step-by-step explanation:

1/4=2/8

7/8-2/8=5/8

Can you help me please

Answers

Answer:

120 in²

Hope this helps!

It’s 120
Hope this helps


19 Five multiplied by a certain number is
added to two. The result equals four
times the number plus four.​

Answers

xfgxfsdfxcxcxAnswer:

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Five multiplied by a certain number is added to two

 5          *                          x                        +             2

equals four times the number plus four

  =          4       *              x          +       4

---------------------------------------------

5x + 2 = 4x + 4

Subtract 4x from both sides

x + 2 = 4

Subtract 2 from both sides

x = 2

what is the measurement of the x​

Answers

45 because It has halved the ninety degree angle

Answer:

55°

Step-by-step explanation:

Total: 90°

90° - 35°

55°

Five weeks after the introduction of a new toy, the manufacturer found that the demand for the toy was modeled by f(x) = x^2 +5x+4/x^2+6x-7 - 1/x , while the company s supply capability was modeled by g(x) = - 0.89x^2 +850x -50/(800x+70.5. Here x is the number of weeks the toy has been on the market, and values of f(x) and g(x) are in millions of toy units. About how many weeks after the toy was introduced did supply equal demand? Round to the nearest whole number of weeks.

Answers

Answer:

76 weeks

Step-by-step explanation:

smldknsdljfisdiofidslfofnjfniour

Write the equation of the ellipse with a center at (5,-2), one vertex at (2, -2) and a focus at
(5+ √5,-2)

Answers

On solving the provided question we can say that - the value of the ellipse will be (5+ , root5)

what is ellipse?

In mathematics, an ellipse is a planar curve that encompasses two focus points and ensures that the sum of the two distances from any point on the curve to the focal points is constant. In doing so, the circle—a particular variety of ellipse with two equal focus points—is generalized. The ellipse, whose eccentricity is less than 1, indicates the area containing the points whose distances from its two foci add up to a certain amount. Running tracks in sporting arenas and 2D egg forms are two straightforward examples of ellipses in daily life.

here we have,

center at (5,-2), one vertex at (2, -2) and a focus at

(5+ √5,-2)

so the answer is (5+ , root5)

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The following table shows the scores of three Redbirds and the Rockets in the first six games of the basketball season.

Part A:
Which team had the higher average (mean) score? What was it?

Part B:
Which team had the higher median score? What was it?

Part C: Which team had the higher range? What was it?

PLEASE don’t answer if you don’t know the answer. Whoever answers correctly will get Brainliest :)

Answers

Answer:

Step-by-step explanation:

1) mean: sum the values and divide for how many they are

Red birds: (87+94+99+85+106+111)/6 = 97

Rockets : (93+107+87+89+108+92)/6 = 96

the Red birds have the higher mean, that is 97

2) median

set the numbers from the least to the greatest and check the number in the middle

Red birds: 85, 87, 94, 99, 106, 111

there are two numbers in the middle, so we have to added up them and divide the result by two

median = (94  + 99)/2 = 96,5

Rockets = 87, 89, 92, 93, 107, 108

median = (92+93)/2 = 92,5

the Red birds have the higher median, that is 96,5

3) range: difference between the highest and the lowest value

Red birds = 111 - 85 = 26

Rockets = 108 - 87 = 21

the Red birds have the highest range, that is 26

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Use alpha = 0.05.
1. The test statistic is a:____.
a. 1.96.
b. 1.64.
c. 2.00.
d. 0.056.
2. The p-value is:____.
a. 0.0456.
b. 0.0482.
c. 0.4772.
d. 0.9759.
e. 0.9772.
3. At the 5% level, you:___.
a. fail to reject the null hypothesis.
b. reject the null hypothesis.
4. Compute the probability of a Type II Error when mu = 2.8.

Answers

Answer:

a

Step-by-step explanation:

please help will give brainliest

Answers

Answer:

52 cm^2

Step-by-step explanation:

1) find the area of the rectangle

A = base x width = 8 x 5 = 40 cm^2

2) find the area of the triangle

A = (base x height)/2 = (8x3)/2 = 12 cm^2

3) find the total area

A = 40 + 12 = 52 cm^2

Answer:

52 cm^2

Step-by-step explanation:

Area = 8 x 5 + 4 x 3  x 1/2 x 2

Area = 40 + 12 x 1/2 x 2

Area = 40 + 6 x 2

Area = 40 + 12

Area = 52

Hope that helps! :)

-Aphrodite

HELP ASAP PLS
Question 2 of 5
Select all the correct answers.
Which expressions are prime polynomials?

Answers

Answer: There is no picture

Step-by-step explanation:

Jesus wants to start saving for college. His parents started an account for him tht currently holds $325. Jesus adds $50 each week.

Answers

If Jesus adds $50 each week to the account that currently holds $325, then after 1 week the account will hold 325 + 50 = $375.

After 2 weeks, the account will hold 375 + 50 = $425.

After 3 weeks, the account will hold 425 + 50 = $475.

And so on.

In general, after n weeks, the account will hold 325 + 50n dollars

Can some one tell me what 132 divided by 12 is I’m so embarrassed

Answers

132 divided by 12 is 11 also it’s okay :)

132 divided by 12 is equal to 11 with a remainder of 2.

To perform the division, you can use long division:

Step 1: Set up the division equation:

      _______

12 | 132

Step 2: Identify how many times 12 can fit into the first digit of 132 (1). Write the quotient (result) above the line:

      11

      _______

12 | 132

Step 3: Multiply the divisor (12) by the quotient (11) and write the result below the first part of the dividend:

      11

      _______

12 | 132

     -  12

      _______

Step 4: Subtract the result from step 3 from the first part of the dividend (132 - 12 = 120). Write the new result below the line:

      11

      _______

12 | 132

     -  12

      _______

        120

Step 5: Bring down the next digit of the dividend (in this case, the digit "3") and put it next to the remainder (120):

      11

      _______

12 | 132

     -  12

      _______

        120

         3

Step 6: Determine how many times 12 can fit into 120. The answer is 10. Write the new quotient digit (10) above the digit "3":

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

Step 7: Multiply the divisor (12) by the new quotient digit (10) and write the result below the second part of the dividend:

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

        -  108

      _______

Step 8: Subtract the result from step 7 from the second part of the dividend (110 - 108 = 2). Write the new result below the line:

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

        -  108

      _______

          2

Step 9: There are no more digits to bring down from the dividend, and the remainder is less than the divisor. The division process is complete.

The final result is the quotient (11) with a remainder of 2. So, 132 divided by 12 is 11 with a remainder of 2.

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The average amount of time to finish this quiz is 26 minutes with a standard deviation of 1.2 minutes. What is the probability that you will finish this quiz in 27.8 minutes or less?

Answers

Answer:What is the probability that you will finish this quiz in 23.84 minutes or less?

0.03593

Write your answer as a percentage with 2 decimals

= 3.59%

Step-by-step explanation:

The z score formula is given as:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 26 minutes

Standard deviation = 1.2 minutes.

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