Ally was interested in whether people felt more satisfied after going on vacation to Hawaii or Cancún. A sample of 20 people who went to Hawaii and 20 who went to Cancún were given a survey asking how satisfied they were after their vacation. The data that was collected is shown below. Satisfaction was measured on a 5-point scale, where higher scores indicated more satisfaction. Is there a significant difference in satisfaction for the two groups? Please analyze the data using a two-tailed test at the α = .01 level.Vacation : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2Satisfaction : 3 4 3 1 5 2 5 2 3 1 4 1 4 4 5 3 2 2 3 4 3 4 1 4 1 2 3 2 5 3 3 1 1 2 2 1 4 4 1 3a) Which T-test is the most appropriate to conduct for the data?
b) Using the results, is there a statistically significant difference between s1^2 and s2^2? How do you know? Describe in your own words what this means conceptually? What do we do differently if there is a significant difference between s1^2 and s2^2?c) Report your obtained t score for the test of differences in means, and the obtained p value.
d) Make a statistical decision about the null. Will you reject or fail to reject the null? Why? What do your results mean in simple words?
e) Calculate the r^2. Interpret it in the context of the study.

ANSWERS

• Histogram:

• P(less than 28 cm) = 0.21

EXPLANATION

To draw a histogram of this data, we have to draw two axes. The vertical axis will be the frequency and the horizontal axis will be the length. For each length, we have to draw a bar with the height of its frequency. This way, the resulting histogram must have 8 columns,

Now, we have to find the probability that a stem selected at random, X, is less than 28 cm in length. To do so, we can either use the table or the histogram - which is a graphic way of showing the data in the table,

Hence, the probability that a stem selected at random is less than 28 cm in length is 0.21.

The graph of line a and line b is shown in the image attached below. The lines do not intersect each other.

To check if both lines intersect, we need to graph the system of equations. First, use the points given to write out the equations.

Line a:

Slope (m) = change in y / change in x = 6 - 4 / 8 - 0 = 2/8

m = 1/4

Find the y-intercept (b) by substituting m = 1/4, x = 0 and y = 4 into y = mx + b:

4 = 1/4(0) + b

b = 4

The equation of line a is: y = 1/4x + 4.

Line b:

Slope (m) = change in y / change in x = 1 - (-2) / 8 - 0

m = 3/8

Find the y-intercept (b) by substituting m = 3/8, x = 0 and y = -2 into y = mx + b:

-2 = 3/8(0) + b

b = -2

The equation of line b is: y = 3/8x - 2.

Both lines are graphed in the image attached below. Line a is the red line and line b is the red line. They do not intersect at any point.

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The function of A  has played a card with face value z is f(z)=z-3.

What is function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Here according to the question,  Player B has to play a card with face value 3 more than that of the card played by A , then,

=> B = A+3 ------> 1

Player C has to play a card with face value 5 less than twice the value of player B's card.

=> C =2B-5

=> B = (C+5)/2-----> 2

Put 2 into 1 then,

=> (C+5)/2 = A+3

=> C+5= 2(A+3)

=> C+5 = 2A+6

=> C+5-6=2A

=>C-1=2A

=> A = (C-1)/2 -------->3

Now we know that the function for C is h(z) = 2z-5 then put into 3 then,

=> A = f(x) = (C-1)/2

=> f(z) = (2z-5-1)/2

=> f(z) = (2z-6)/2

=> f(z) = z-3

Hence the player A has played a card with face value z is f(z)=z-3.

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The equation of the line perpendicular to y = (1/3)x + 65 through the point (7, 6) is y = -3x + 27. The equation of the line perpendicular to y = (-2/3)x + 65 through the point (-8, 1) is y = (3/2)x + 13.

To find the equation of a line perpendicular to a given line, we need to determine the slope of the perpendicular line.

For the line given by the equation y = (1/3)x + 65, the slope is 1/3.

To find the slope of the perpendicular line, we take the negative reciprocal of the original slope. So, the slope of the perpendicular line is -3/1 or -3.

Using the point-slope form of the equation of a line, we can write the equation of the line perpendicular to y = (1/3)x + 65 through the point (7, 6) as follows:

y - y1 = m(x - x1)

where (x1, y1) = (7, 6) and m = -3. Plugging in the values, we get:

y - 6 = -3(x - 7)

Expanding and simplifying, we have:

y - 6 = -3x + 21

Moving terms around, we get the final equation:

y = -3x + 27

Therefore, the equation of the line perpendicular to y = (1/3)x + 65 through the point (7, 6) is y = -3x + 27.

Now, let's find the equation of the line perpendicular to y = (-2/3)x + 65 through the point (-8, 1).

The given line has a slope of -2/3. The perpendicular line will have a slope that is the negative reciprocal of -2/3, which is 3/2.

Using the point-slope form, we can write the equation of the line perpendicular to y = (-2/3)x + 65 through the point (-8, 1):

y - y1 = m(x - x1)

where (x1, y1) = (-8, 1) and m = 3/2. Substituting the values, we have:

y - 1 = (3/2)(x - (-8))

Simplifying further:

y - 1 = (3/2)(x + 8)

Expanding and rearranging:

y - 1 = (3/2)x + 12

Moving terms around, we get:

y = (3/2)x + 13

Thus, the equation of the line perpendicular to y = (-2/3)x + 65 through the point (-8, 1) is y = (3/2)x + 13.

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The factorization of the given expression 3(a-b)(3r-T)+9(b-a)(2t-5s) will be equal to 3(a-b){[3r-T]-392t-5s]}.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Given expression is 3(a-b)(3r-T)+9(b-a)(2t-5s) the factorization will be done as below:-

E = 3(a-b)(3r-T)+9(b-a)(2t-5s)

E =  3(a-b)(3r-T)- 9(a-b)(2t-5s)

E = 3(a-b){[3r-T]-392t-5s]}.

Therefore, the factorization of the given expression 3(a-b)(3r-T)+9(b-a)(2t-5s) will be equal to 3(a-b){[3r-T]-392t-5s]}.

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Answer:

8 to 17

Step-by-step explanation:

Answer:

B: 15 inches

Step-by-step explanation:

Find out how long is a side of the sign.

Square root 219 = 14.79

14.79 estimated to the nearest whole number =

15

Step-by-step explanation:

XY and BC - chords

XC, BA - diameter

XP, PC, BP, pA - radii

The product of the amounts 0.8 and 0.27 is given as follows:

0.8 x 0.27 = 0.216.

The product between two amounts is obtained as the result of the multiplication of the two amounts.

The amounts for this problem are given as follows:

The integer product is given as follows:

8 x 27 = 216.

.8 has one decimal digit, while .27 has two decimal digits, 2 + 1 = 3, hence the decimal product is given as follows:

0.216.

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Answer:

-1 is no.    7 is yes.      2 is no.         -5 is no

Step-by-step explanation:

-80=-8(x+3)

Plug in each possible answer

-80=-8(-1+3)

-80=8+24

-80=32

No

-80=-8(7+3)

-80=-56-24

-80=-80

Yes

-80=-8(2+3)

-80=-16-24

-80=-40

No

-80=-8(-5+3)

-80=40-24

-80=16

No

The angle ∠AGB and ∠EGD are equal angles / opposite angles / vertical angles.

Given,

∠AGB and ∠EGD

We need to find what types of angles are ∠AGB and ∠EGD.

Vertical angles are angles that are opposite of each other when two lines cross.

Vertical angles are always equal.

We have,

∠AGB and ∠EGD are vertical angles

∠AGB = 30 = ∠EGD

∠CGD and ∠AGF are vertical angles.

∠CGD = 50 = ∠AGF

∠BGC and ∠FGE are vertical angles.

∠BGC = ∠FGE = 2x

We know that,

A straight angle is 180.

∠FGC =180

∠FGC = ∠AGF + ∠AGB + ∠BGC

180 = 50 + 30 + ∠BGC

180 - 50 - 30 = ∠BGC

180 - 80 = ∠BGC

∠BGC = 100

∠FGE = 100

We also see that,

∠FGC = ∠FGE + ∠EGD + ∠CGD

180 =  100 + ∠EGD + 50

180 - 150 = ∠EGD

∠EGD = 30

We see that,

∠EGD = 30°

∠AGB = 30°

Thus, the angle ∠AGB and ∠EGD are equal angles / opposite angles / vertical angles.

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The midpoint formula is used to find the center point of a line segment, given the coordinates of the two endpoints. The formula is as follows:

Midpoint = ( (x₁+ x₂) / 2, (y₁ + y2) / 2 )

Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two endpoints of the line segment.

To find the missing coordinate using the midpoint formula, you would need to have the coordinates of one endpoint, as well as the coordinates of the midpoint. Then, you can use the formula to solve for the missing coordinate.

For example, if you have the coordinates of one endpoint as (3, 5) and the coordinates of the midpoint as (4, 6), you can use the formula to solve for the missing endpoint:

Midpoint = ( (3 + x₂) / 2, (5 + y₂) / 2 )

(4, 6) = ( (3 + x₂) / 2, (5 + y₂) / 2 )

So, by solving above equation we can get the missing coordinate

(x₂, y₂) = (5,7)

In conclusion, the midpoint formula can be used to find the missing coordinate of a line segment by using the coordinates of one endpoint and the midpoint. It is a simple and efficient way to find the missing coordinate when working with geometric shapes.

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Answer:

10 or 10/1

Step-by-step explanation:

1/1000 * 10= 0.01 = 1/100

Answer:

D because 2/3 equals 2 1/3 mugs

Answer:

Hi how are you doing today Jasmine

Answer:

5.49*10^1

Step-by-step explanation:

not 100% sure....

Answer: ∠ABC = 29.745°

Step-by-step explanation:

I believe this is the answer , you should be golden.

Answer:

no se     y ademas me aparece en ingles :(

Step-by-step explanation:

2(-5x4)×4x-5=-3 its going to be x=1

The t-test assuming equal variances means Pooled t-test in which variances of the two sample populations are equal.

The pooled t-test is the statistical procedure that assumes that population variances are equal. Finding a weighted average of the two independent sample variances is referred to as pooling. By combining data from samples from populations 1 and 2, we may estimate the common variance when there is solid evidence that population 1's variance is equal to population 2's variance.

Compare the ratio of the two sample standard deviations as a quick way to verify this. The ratio would be compared as: S1/S2. The ratio would be 1, or, in the event that the two are equal.

However, we cannot anticipate the ratio to be exactly 1, as they are samples and as a result, there will be some errors. Thus, the pooled t-test implies whether the null-hypothesis should be accepted or rejected.

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Answer:

No

Step-by-step explanation:

Answer:

Step-by-step explanation:

if its only 1 base i chose to do the 8x20 (bh)

so 160 km squared

Answer:

going with the side that's facing towards you 8 × 20 = 160

Step-by-step explanation:

The distance between Cardwell and Claremont if they are 4.5 inches apart on the map will be 150 miles.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

If a road map has a scale of 3 inches to 100 miles.

Then the scale factor is given as,

Sclar factor = 100 / 3

Sclar factor = 33.33 miles per inch

Then the distance between Cardwell and Claremont if they are 4.5 inches apart on the map will be given as,

Distance = 33.33 x 4.5

Distance = 150 miles

The distance between Cardwell and Claremont if they are 4.5 inches apart on the map will be 150 miles.

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The domain and range are both infinite. (-∝,∝). You know this because there are arrows on the end of the line, implying that it goes on forever, and it isn't straight vertical or horizontal, so it will keep traveling in both directions forever.

Hope this helps.

Answer:

$2,820

Step-by-step explanation:

The completed ANOVA table is

Source of variance  | SS   | df | MS   | F-ratio

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

Treatment          | 70   | 2  | 35   | -------

Error              | 30   | 22 | -----| -------

Total              | -----| ---| -----| -------

To complete the ANOVA table, we need to calculate the missing values for degrees of freedom (df), mean squares (MS), and the F-ratio.

Source of variance: Treatment

SS (Sum of Squares): 70

To calculate the degrees of freedom (df) for Treatment, we use the formula:

df = number of groups - 1

Since we are comparing 3 different vitamin supplements, the number of groups is 3.

df = 3 - 1 = 2

Now, let's calculate the mean squares (MS) for Treatment:

MS = SS / df

MS = 70 / 2 = 35

Next, we need to calculate the missing values for Error:

Given:

Source of variance: Error

SS (Sum of Squares): 30

To calculate the degrees of freedom (df) for Error, we use the formula:

df = total number of observations - number of groups

Since the total number of observations is 25 and we have 3 groups, the degrees of freedom for Error is:

df = 25 - 3 = 22

Finally, we can calculate the F-ratio:

F-ratio = MS Treatment / MS Error

F-ratio = 35 / (SS Error / df Error)

However, the value for SS Error is missing in the provided information, so we cannot calculate the F-ratio without that value.

In conclusion, the completed ANOVA table is as follows:

Source of variance  | SS   | df | MS   | F-ratio

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

Treatment          | 70   | 2  | 35   | -------

Error              | 30   | 22 | -----| -------

Total              | -----| ---| -----| -------

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Step-by-step explanation:

Remember the Difference of Squares:

a² - b² = (a + b)(a - b)

Therefore (√20 - √3)(√20 + √3)

= (√20)² - (√3)² = 20 - 3 = 17. (C)