Question 18 i will maek the brainliest:)

Question 18 I Will Maek The Brainliest:)

Answers

Answer 1

Answer:

Median: 14.6, Q1: 6.1, Q3: 27.1, IR: 21, outliers:  none

Step-by-step explanation:

Step 1: order the data from the least to the largest.

2.8, 3.9, 5.3, 6.1, 6.5, 7.1, 12.5, 14.6, 16.4, 16.4, 20.8, 27.1, 28.1, 30.9, 53.5

Step 2: find the median.

The median is the middle value, which is the 8th value in the data set.

2.8, 3.9, 5.3, 6.1, 6.5, 7.1, 12.5, [14.6,] 16.4, 16.4, 20.8, 27.1, 28.1, 30.9, 53.5

Median = 14.6

Step 2: Find Q1,

Q1 is the middle value of the lower part of the data set that is divided by the median to your left.

2.8, 3.9, 5.3, (6.1), 6.5, 7.1, 12.5, [14.6], 16.4, 16.4, 20.8, 27.1, 28.1, 30.9, 53.5

Q1 = 6.1

Step 3: find Q3.

Q3 is the middle value of the upper part of the given data set.

2.8, 3.9, 5.3, 6.1, 6.5, 7.1, 12.5, [14.6], 16.4, 16.4, 20.8, (27.1), 28.1, 30.9, 53.5

Q3 = 27.1

Step 4: find interquartile range (IR)

IR = Q3 - Q1 = [tex] 27.1 - 6.1 = 21 [/tex]

Step 5: check if there is any outlier.

Formula for checking for outlier = [tex] Q1 - 1.5*IR [/tex]

Then compare the result you get with the given values in the data set. Any value in the data set that is less than the result we get is considered an outlier.

Thus,

[tex] Q1 - 1.5*IR [/tex]

[tex]6.1 - 1.5*21 = -25.4[/tex]

There are no value in the given data set that is less than -25.4. Therefore, there is no outlier.


Related Questions

When determining the sample size necessary for estimating the true population mean, which factor is NOT considered when sampling with replacement

Answers

Answer:

Population Size

Step-by-step explanation:

When sampling with replacement, we can expect that the population size will remain the same. Sampling with replacement occurs when a unit or subject for research is chosen from a population at random. This chosen unit can be returned to the population and another random selection done with the possibility that a unit that was chosen before could be chosen again. So in applying this system of selection, the population size is not taken into consideration. When samples are chosen in this form, it can be referred to as a simple random sample.

So, when determining the sample size necessary for estimating the true population mean, using the sampling with replacement method, the population size is not considered.

How do you evaluate this?

Answers

[tex]_6C_3=\dfrac{6!}{3!3!}=\dfrac{4\cdot5\cdot6}{2\cdot3}=20[/tex]

Find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of -1. Show your work for full credit. Please explain the exact process of how you get your answer because I do not understand it at all. If you don't explain properly or try to just snatch some points I will try to delete your answer.

Answers

Answer:

See below.

Step-by-Step Explanation:

Please refer to the attachment.

If you have any questions, feel free to comment!

Answer:

(-1,-1)

Step-by-step explanation:

theta = -3 pi/4

Changing to degrees =

theta = -3 * 180/4 =-135

x coordinate of -1

The y value would be

= 45

tan 45 = y /1

y = tan 45

y = 1

But we are in the third coordinate so x and y are negative

The coordinates are

(-1,-1)

Find the degree, leading coefficient, and the constant term of the polynomial.

Answers

[tex] \LARGE{ \boxed{ \purple{ \rm{Answers;)}}}}[/tex]

☃️ Degree of the polynomial- The highest degree of any term in a polynomial. Here the highest degree is 5.

⇛ 4x⁴ + 5 + 6x⁵ - 2x(° of polynomial = 5)

☃️ Leading coefficient- The coefficient of the term having the highest degree of the polynomial. Here, the highest degree is 5 and the term is 6x

⇛ 4x⁴ + 5 + 6x⁵ - 2x (Leading coeff. = 6)

☃️ Constant term- It is the term having no coefficients, only a fixed real number. This remains constant in any value of polynomial.

⇛ 4x⁴ + 5 + 6x⁵ - 2x (Constant term = 5)

━━━━━━━━━━━━━━━━━━━━

need help asap please help let quick eeeeeeeeeeeeeeee

Answers

Answer:

5/14

Step-by-step explanation:

1[tex]\frac{3}{4}[/tex] = 7/4

4[tex]\frac{9}{10}[/tex] = 49/10

[tex]\frac{7}{4}[/tex] / [tex]\frac{49}{10}[/tex]

[tex]\frac{7}{4}[/tex] x [tex]\frac{10}{49}[/tex] = [tex]\frac{70}{196}[/tex]

or

[tex]\frac{1}{2}[/tex] x [tex]\frac{5}{7}[/tex] = [tex]\frac{5}{14}[/tex]

Answer:

e

Step-by-step explanation:

e

Please help! I’ll mark you as brainliest if correct.

Answers

Answer:

160 liters of 25%, 20 liters of 40%, 60 liters of 60%

Step-by-step explanation:

x + y + z = 240

0.25x + 0.4y + 0.6z = 0.35*240 = 84

z = 3y

x = 160

y = 20

z = 60

Find the value of x to the nearest tenth. A) 5 B) 9.2 C) 3.3 D) 2.9

Answers

Answer:

B) 9.2

Step-by-step explanation:

tan(57)=x/6 multiply 6 on both sides

6.tan(57)=x use calculator to find answer

9.2 rounded

Answer:9.2 is correct

Step-by-step explanation:

I have no idea what to do here.

Answers

Answer:

15.5846.>

Step-by-step explanation:

Complete the table for the given rule. Rule: y = x + 3. X ? Y 4. X ? Y 8. X ? Y 5

Answers

Answer:

X 1 for Y 4

X 5 for Y 8

X 2 for Y 5

Step-by-step explanation:

We can substitute the values of Y in the formula and then subtract three from both sides.

A signal light is green for 4 minutes, yellow for 10 seconds, and red for 3 minutes. If you drive up to this light, what is the probability that it will be green when you reach the intersection? Round your answer to two decimal places.

Answers

Answer:

0.56 is the required probability.

Step-by-step explanation:

Time for which signal shows green light = 4 minutes

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes

To find:

Probability that the signal will show green light when you reach the destination = ?

Solution:

First of all, let us convert each time to same unit before doing any calculations.

Time for which signal shows green light = 4 minutes = 4 [tex]\times[/tex] 60 seconds = 240 seconds

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes = 3 [tex]\times[/tex] 60 seconds = 180 seconds

Now, let us have a look at the formula for probability of an event E:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, E is the event that green light is shown by the signal.

Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time (Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)

So, the required probability is:

[tex]P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }[/tex]

Simplify (3n - 2m)^2 = Can someone break this down for me? I don't understand why I'm having issues with this.

Answers

Answer:

9n² - 12mn + 4m²

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

(3n - 2m )² = (3n-2m)(3n-2m) = 3n*3n + 3n*-2m -2m*3n - 2m*-2m

= 9n² - 6nm -6mn + 4m²

= 9n² - 12mn + 4n²

Answer:

Once you simplify the given expression, your answer will be 9n² - 12mn + 4m

Step-by-step explanation:

In this problem, we are given an expression.

(3n - 2m)²

when an expression or equation is raised to the power of 2, then you are going to multiply the base term by itself. For example, if you have 2² or 16², then would you do 2 × 2 and 16 × 16 in order to solve the expressions. We will do the same for this expression.

(3n - 2m)² = (3n - 2m) × (3n - 2m)

We will use the foil method to solve this expression

(3n - 2m)(3n - 2m)

9n² - 6mn - 6mn + 4m

Combine like terms together.

9n² - 12mn + 4m

So, the simplified form of the expression is 9n² - 12mn + 4m

hich statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same range. p(x) and q(x) have the same domain but different ranges. p(x) and q(x) have different domains but the same range. p(x) and q(x) have different domains and different ranges.

Answers

Answer:

[tex]p(x)[/tex] and [tex]q(x)[/tex] have the same domain and the same range.

Step-by-step explanation:

[tex]p(x) = 6-x[/tex] and

[tex]q(x) = 6x[/tex]

First of all, let us have a look at the definition of domain and range.

Domain of a function [tex]y =f(x)[/tex] is the set of input value i.e. the value of [tex]x[/tex] for which the function [tex]f(x)[/tex] is defined.

Range of a function [tex]y =f(x)[/tex] is the set of output value i.e. the value of [tex]y[/tex] or [tex]f(x)[/tex] for the values of [tex]x[/tex] in the domain.

Now, let us consider the given functions one by one:

[tex]p(x) = 6-x[/tex]

Let us sketch the graph of given function.

Please find attached graph.

There are no values of [tex]x[/tex] for which p(x) is not defined so domain is All real numbers.

So, domain is [tex](-\infty, \infty)[/tex] or [tex]x\in R[/tex]

Its range is also All Real Numbers

So, Range is [tex](-\infty, \infty)[/tex] or [tex]x\in R[/tex]

[tex]q(x) = 6x[/tex]

Let us sketch the graph of given function.

Please find attached graph.

There are no values of [tex]x[/tex] for which [tex]q(x)[/tex] is not defined so domain is All real numbers.

So, domain is [tex](-\infty, \infty)[/tex] or [tex]x\in R[/tex]

Its range is also All Real Numbers

So, Range is [tex](-\infty, \infty)[/tex] or [tex]x\in R[/tex]

Hence, the correct answer is:

[tex]p(x)[/tex] and [tex]q(x)[/tex] have the same domain and the same range.

If f(x)=4x-6 and g(x) vx+2 what is (f*g)(7)

Answers

Answer: The value of (f*g)(7) is 66.

Step-by-step explanation:

Given functions: [tex]f(x)= 4x-6\text{ and } g(x)=\sqrt{x+2}[/tex]

Since, product of two functions: [tex](u*v)(x)=u(x)\times v(x)[/tex]

[tex](f*g)(x)=f(x)\times g(x)\\\\=4x-6\times \sqrt{x+2}\\\\\Rightarrow\ (f*g)(x)=(4x-6) \sqrt{x+2}[/tex]

[tex](f*g)(7)=(4(7)-6)\sqrt{7+2}\\\\=(28-6)\sqrt{9}\\\\=22\times 3=66[/tex]

Hence, the value of (f*g)(7) is 66.

What is the area of polygon XYZ?

Answers

Answer:

B. 36 square units

Step-by-step explanation:

This is a triangle and to calculate the area of a triangle we multiply height with base and that divided by two

The height of this triangle is 8 units and the base is 9 units

9 × 8 ÷ 2 = 36 square units

22)
Subtract (4 - 21) - (3 - 51)
A)
1+3i
B)
1-71
7+3i
D)
7-7i

Answers

Answer:

1 +3i

Step-by-step explanation:

(4 - 2i) - (3 - 5i)

Subtract the reals

4 - 3 =1

Subtract the imaginary

-2i - -5i

-2i + 5i = 3i

1 +3i

Answer:

A

Step-by-step explanation:

Subtract all real numbers

4 - 3 = 1

Subtract all imaginary numbers

-2i - (-5i) = 3i

Put back together

1 + 3i

Best of Luck!

What is the number of square units in the area of the triangle whose vertices are points A(2,0), B(6,0), and C(8,5)?

Answers

10 units squared. Hope this helped.

The area of the triangle is 10 square units.

The given coordinates are A(2,0), B(6,0), and C(8,5).

What is the formula to find the area of a triangle?

The formula of area of triangle formula in coordinate geometry is the area of the triangle in the coordinate geometry is:  [tex]A=\frac{1}{2} |x_{1} (y_{2}-y_{3})+x_{2} (y_{3}-y_{1})+x_{3} (y_{1}-y_{2})|[/tex]

Now, Area=1/2|2(0-5)+6(5-0)+8(0-0)|=0.5|20|

=10 square units

Therefore, the area of the triangle is 10 square units.

To learn more about the area of the triangle visit:

https://brainly.com/question/11952845.

#SPJ2

Calculate two iterations of Newton's Method for the function using the given initial guess. (Round your answers to four decimal places.) f(x) = x2 − 8, x1 = 2

Answers

Answer:

The first and second iteration of Newton's Method are 3 and [tex]\frac{11}{6}[/tex].

Step-by-step explanation:

The Newton's Method is a multi-step numerical method for continuous diffentiable function of the form [tex]f(x) = 0[/tex] based on the following formula:

[tex]x_{i+1} = x_{i} -\frac{f(x_{i})}{f'(x_{i})}[/tex]

Where:

[tex]x_{i}[/tex] - i-th Approximation, dimensionless.

[tex]x_{i+1}[/tex] - (i+1)-th Approximation, dimensionless.

[tex]f(x_{i})[/tex] - Function evaluated at i-th Approximation, dimensionless.

[tex]f'(x_{i})[/tex] - First derivative evaluated at (i+1)-th Approximation, dimensionless.

Let be [tex]f(x) = x^{2}-8[/tex] and [tex]f'(x) = 2\cdot x[/tex], the resultant expression is:

[tex]x_{i+1} = x_{i} -\frac{x_{i}^{2}-8}{2\cdot x_{i}}[/tex]

First iteration: ([tex]x_{1} = 2[/tex])

[tex]x_{2} = 2-\frac{2^{2}-8}{2\cdot (2)}[/tex]

[tex]x_{2} = 2 + \frac{4}{4}[/tex]

[tex]x_{2} = 3[/tex]

Second iteration: ([tex]x_{2} = 3[/tex])

[tex]x_{3} = 3-\frac{3^{2}-8}{2\cdot (3)}[/tex]

[tex]x_{3} = 2 - \frac{1}{6}[/tex]

[tex]x_{3} = \frac{11}{6}[/tex]

I need help with this!

Answers

Answer:

i) [tex]\frac38\pi[/tex]

ii) n = 33

Step-by-step explanation:

For this question you can actually focus on the sine, and forget about the e power. The x-coordinates of the extremes of the curve will be the same as for y=sin(4x)

i) equivalent to solving sin(4x) = -1, so 4x = 3/2 pi, x=3/8 pi

ii) The Tn values are at x = (n·π - π/2)/4

solving  (n·π - π/2)/4 > 25 gives:

n > 1/2 + 100/π, so n > 32.331, but n must be integer, so we get n=33

a ball is thrown upward with an initial height of 3 feet with an initial upward velocity 37 ft/s the balls heigh in feet after t second is given by h=3=+37t-16t^2

Answers

Answer:

[tex]t = 1.45[/tex] or [tex]t = 0.86[/tex]

Step-by-step explanation:

Given

[tex]h=3+37t-16t^2[/tex]

Required

Find all values of t when height is 23 feet

To solve this, we simply substitute 23 for h

[tex]23=3+37t-16t^2[/tex]

Collect  like terms

[tex]16t^2 - 37t - 3 + 23=0[/tex]

[tex]16t^2 - 37t +20=0[/tex]

Solve t using quadratic formula;

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where a = 16, b =-37 and c = 20

[tex]t = \frac{-(-37)\±\sqrt{(-37)^2 - 4*16*20}}{2*16}[/tex]

[tex]t = \frac{37\±\sqrt{(-37)^2 - 4*16*20}}{2*16}[/tex]

[tex]t = \frac{37\±\sqrt{1369 - 1280}}{32}[/tex]

[tex]t = \frac{37\±\sqrt{89}}{32}[/tex]

[tex]t = \frac{37\±9.43}{32}[/tex]

[tex]t = \frac{37+9.43}{32}[/tex] or [tex]t = \frac{37-9.43}{32}[/tex]

[tex]t = \frac{46.43}{32}[/tex] or [tex]t = \frac{27.57}{32}[/tex]

[tex]t = \frac{46.43}{32}[/tex] or [tex]t = \frac{27.57}{32}[/tex]

[tex]t = 1.45[/tex] or [tex]t = 0.86[/tex]

Stepwise regression is a variable screening method, not a model building method.
A. True
B. False

Answers

Answer:

A. True

Step-by-step explanation:

Stepwise regression is a variable-selection method for independent variables.

Stepwise regression  helps us to recognize and choose the most handy descriptive variables from a list of several reasonable independent variables.

It entails a series of steps that is drafted to locate the most handy X-variable to incorporate in a regression model. During each step of the course of action or method, each X - variable is estimated by applying a set criterion to determine if it is meant to exist in the model.

The basis for selection can be choosing a variable which satisfies the stipulated criterion or removing a variable that least satisfies the criterion. A typical illustration of such criterion is the t value.

Evaluate
1+5.3
2
please answer quickly ​

Answers

Answer:

1+5.3=6.3

Step-by-step explanation:

not sure what your asking for with the 2

explain what your looking for with the 2 and maybe we can help you further

(I have to do it the way I did it because the 2 in the question is confusing)

Answer:

For expression 1 + 5.32: 6.32

For expression 1 + 5.3 × 2: 11.6

Step-by-step explanation:

If the expression is 1 + 5.32:

Add 1 to 5.32: 1 + 5.32 = 6.32

If the expression is 1 + 5.3 × 2:

5.3 × 2 = 10.6Plug in 10.6: 1 + 10.61 + 10.6 = 11.6

One side of a right triangle is known to be 12 cm long and the opposite angle is measured as 30°, with a possible error of ±1°. Use differentials to estimate the error in computing the length of the hypotenuse. (Round your answer to two decimal places.)

Answers

Answer:

estimated error=±0.725

Step-by-step explanation:

Side of the triangle= 12cm

Opposite of triangle x= 30

h= hypotenose side

Error= =±1

From trigonometry

Sin(x)=opposite/hypotenose

hypotenose=opposite/sin(x)

h=12/sin(x)

h=12Csc(x)

dh=-12Csc(x)Cot(x) dx...............eqn(1)

dx is the possible error in angle measurements

So we need to convert to radius

dx=±1°× (π/180)

=±1°(π/180)

Substitute x and dx into equation (1)

dh= - 12Csc30°Cot30°×[±(π/180)]

= -12(2)(√3)(±(π/180)

==±0.725

Therefore, estimated error=±0.725

round 38562 to one significant figure

Answers

Answer:

plz refer the attachment

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

      Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

ROUND 38562 to ONE significant figure.

Answer:

= 4000

Rounding Significant Figures Rules

             ~       ↓↓↓↓↓↓↓      ~

Non-zero digits are always significant

Zeros between non-zero digits are always significantLeading zeros are never significantTrailing zeros are only significant if the number contains a decimal pointExamples of Significant Figures

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

❀*May*❀

HELPPPPP ASAPPPP

Select the correct answer.
A volleyball player sets a volleyball straight up into the air. The height of the volleyball, h(t), is modeled by this equation, where e represents the
time, in seconds, after that ball was set.
= -16t2 + 20t + 6
The volleyball reaches its maximum height after 0.625 seconds. What is the maximum height of the volleyball

A. 11.625 feet
B. 12.25 feet
C. 8.5 feet
D. 1.625 feet

Answers

Answer:

The maximum height of the volleyball is 12.25 feet.

Step-by-step explanation:

The height of the volleyball, h(t), is modeled by this equation, where t represents the  time, in seconds, after that ball was set :

[tex]h(t)=-16t^2+20t+6[/tex] ....(1)

The volleyball reaches its maximum height after 0.625 seconds.

For maximum height,

Put [tex]\dfrac{dh}{dt}=0[/tex]

Now put t = 0.625 in equation (1)

[tex]h(t)=-16(0.625)^2+20(0.625)+6\\\\h(t)=12.25\ \text{feet}[/tex]

So, the maximum height of the volleyball is 12.25 feet.

Answer:

The correct answer is B. 12.25 feet.

Step-by-step explanation:

I got it right on the Edmentum test.

The areas of two similar octagons are 4 m² and 9 m². What is the scale factor of their side lengths? PLZ PLZ HELP PLZ

Answers

Answer:

2 :3

Step-by-step explanation:

To take the scale factor from the area to length we take the square root of each

sqrt(4) : sqrt(9)

2 :3

Consider the age distribution in the United States in the year 2075 (as projected by the Census Bureau). Construct a cumulative frequency plot and describe what information the plot communicates about the distribution of ages in the future.

Answers

Answer:

The cumulative frequency plot is also attached below.

Step-by-step explanation:

The data provided is as follows:

Age Group Frequency

   0 - 9             34.9

  10 - 19             35.7

20 - 29             36.8

30 - 39             38.1

40 - 49             37.8

50 - 59             37.8

60 - 69             34.5

70 - 79             27.2

80 - 89             18.8

90 - 99               7.7

100 - 109       1.7

Consider the Excel output attached.

The cumulative frequency are computed in the Excel sheet.

The cumulative frequency plot is also attached below.

From the cumulative frequency plot it can be seen that in the future most people will belong to a higher age group rather then the lower ones.

6. If the equations kx - y = 2 and 6x - 2y = 3 have a solution then state the value of k a) K = 3 b) k 3 c ) K 0 d) k = 0 7.

Answers

Answer:

k ≠ 3

Step-by-step explanation:

Given the system of equation;

kx - y = 2 ------------------- 1

6x - 2y = 3 -------------------- 2

Rewriting the equations in the format ax+by+c = 0

Equation 1 becomes kx - y - 2 = 0

Equation 2 becomes 6x - 2y - 3 = 0

where a₁ = k, b₁ = -1 and c₁ = -2  and a₂ = 6, b₂ = -2 and c₂ = -3

For the system of equation to have a unique solution the following must be true;

a₁/a₂ ≠ b₁/b₁

Substituting the coefficients into the condition, we will have;

k/6 ≠ -1/-2

k/6 ≠ 1/2

Cross multiplying we will have;

2k ≠ 6

k ≠ 6/2

k ≠ 3

This means that k can be any other real values except 3 for the system of equation to have a unique solution.

If you owe your friend $3 and you have $15, which expression would help you find out how much money you would have left?

Answers

Answer:

12

Step-by-step explanation:

15 - 3 = 12

Answer:

both of them are right

Step-by-step explanation:

please help give bralienst not need explation

Answers

Answer:

4.5 cm

Step-by-step explanation:

The ruler says it all..... (why do you need help with this? What grade????)

Hope this helps, have a good day :)

Answer:Its 4.5 centimeters

Step-by-step explanation:

are:
4. Suppose that the distance of fly balls hit to the outfield (in baseball) is normally
distributed. We randomly sample 27 fly balls. Their recorded distances in feet
234, 310, 285, 249, 210, 311, 265, 290, 308,
254, 295, 287, 231, 302, 325, 308, 221, 237,
312, 277, 259, 223, 340, 204, 214, 303, 309
Let X be the distance of a fly ball.
Use Excel to calculate the following:
a. (1 pt) mean of the sample, x =
b. (1 pt) standard deviation of the sample, s =
C. (2 pts) Calculate the t-score at a 96% confidence level:
d. (2 pts) Calculate the Error Bound (EBM), using the formula, EBM =
(t)(s//n)
e. (1 pt) At 96% confidence level, provide the confidence interval (CI) for the
mean distance in feet of a fly ball.
hantor 92
D​

Answers

Step-by-step explanation:

a. The mean can be found using the AVERAGE() function.

x = 272.7

b. The standard deviation can be found with the STDEV() function.

s = 39.9

c. The t-score can be found with the T.INV.2T() function.  The confidence level is 0.04, and the degrees of freedom is 26.

t = 2.162

d. Find the lower and upper ends of the confidence interval.

Lower = 272.7 − 2.162 × 39.9 = 186.5

Upper = 272.7 + 2.162 × 39.9 = 358.9

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