What critical value of t* should be used for a 98% confidence interval for the population mean based on a random sample of 25 observations?


A. t* = 2.485

B. t* = 2.492

C. t* = 2.787

D. t* = 2.797

Answers

Answer 1

Using a t-distribution calculator, it is found that the critical value of t* for a 98% confidence interval with 25 observations is given by:

B. t* = 2.492

How to find the critical value of the t-distribution?

It is found using a calculator, with two inputs, which are given by:

The confidence level.The number of degrees of freedom, which is one less than the sample size.

In this problem, we have a confidence level of 98% and 25 - 1 = 24 df, hence the critical value is of t* = 2.492, which means that option B is correct.

More can be learned about the t-distribution at https://brainly.com/question/16162795

#SPJ2


Related Questions

1. Find the area of this complex shape composed of two congruent parallelograms. 8 cm 5 cm​

Answers

Answer:

80

Step-by-step explanation:

since it is a parallelogram, you can multiply it easily. 8x5+40 40x2+80

which is faster 220 newspaper in 55 mins or 135 newspapers in 45 mins. which one is the faster rate

Answers

Answer: 135 newspapers in 45 mins

Step-by-step explanation:

If x = 16,justify if this value is a solution to the equation:2x-(x+3)=13

Answers

Answer:

true, when you substitute 16 for x and solve it adds up correctly

Answer:

13 = 13

so True

Step-by-step explanation:

x = 16

2(16)-(16+3)=13

32-19=13

13=13

Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold the gloves and skirt for a total of £48. She made 100% profit on the cost of the gloves, 20% profit on the total cost. Work out her percentage profit on the cost of the skirt. Give your answer to 1 decimal place.

Answers

Answer:

Profit % = 111.1 %

Step-by-step explanation:

Cost of glove = £4

Sales price of glove and skirt = £48

100% profits on the cost of the glove

20% profit on the total cost

Profit on the total cost = 20% = 0.20

Total cost + 0.20 total cost = Sale value

1.20 * total cost = 48

Total cost = 48 / 1.20

Total cost = 40

Cost of the skirt = Total cost - cost of the gloves

Cost of the skirt = 40 - 4

= 36

Price of the skirt = total value - price of the gloves

Total value = £48

100% of £4 = 100/100 * £4

= £4

Profits + cost of glove = $8

Amount remaining = £48 - £8

= £40

Profit percentage on the skirt = price of the skirt / cost of the skirt

= 40 / 36 * 100

= 1.1111 * 100

Profit % = 111.1 %

help please
i already know that g is not the answer

Answers

The answer is H, slope: -1/4, y int: -1.5

Answer:

The answer is H.

SLOPE CAN BE FOUND BY:  Decrease(negative) and rise/run equation.

Y-INTERCEPT CAN BE FOUND BY: where the line touches the y-axis.

solve for r. 1 + 3r > 10

Answers

Answer:

r >3

Step-by-step explanation:

1 + 3r > 10

Subtract 1 from each side

1-1 + 3r > 10-1

3r > 9

Divide by 3

3r/3 > 9/3

r >3

2. In 2014, Social Security tax was 6.2%,
on the first $117,000. If Grace earned
$98,750 in 2014, how much Social
security tax did she pay?

Answers

Tbh I have no clue bro

Can anyone solve this correctly?

Answers

Answer:

43.52 in.

Step-by-step explanation:

7 in. x 10.2 in. = 71.4 in.

4.1 in. x 6.8 in. = 27.88 in.

71.4 in. - 27.88 in. = 43.52 in.

Help right away ASAP only right answers

Answers

Answer:

- 20/21

Step-by-step explanation:

Calculate the product

5/6 x (-8/7)

Multiplying a positive and a negative equals a negative

(+)x(-)=(-)

-5/6 x 8/7

Reduce the number with the greatest common factor 2

-5/3 x 4/7

Multiply the fractions

-20/21

Solution

-20/21

Alternate form

- 0.952380

Answer

Simplify the expression.

Exact Form:

−20/21

Decimal Form:

−0.952380

Step-by-step explanation:Please mark as brainliest!

I'm not sure if I'm right on this though

Which of the following numbers is divisible by 3, 5, and 10? OA) 15 B) 20 OC) 25 OD) 30​

Answers

Answer:

30 is the correct answer because 3times 10 =30 5 times 6 is 30 and 10 times3 is also 30

please can you solve this fast​

Answers

Step-by-step explanation:

[tex] {x}^{2} + 8x = 0[/tex]

[tex] {x}^{2} + 8x + 16 = 16[/tex]

[tex](x + 4) {}^{2} - 16 = 0[/tex]

If you invest $8,600 at a 3. 95% simple annual interest rate, approximately how long will it take for you to have a total of $21,000? a. 25. 3 years b. 36. 5 years c. 45. 9 years d. 60. 7 years.

Answers

The time needed to reach the amount of $21000 will be 36.5 years.

What will be the time to reach the amount $21000?

It is given that

Principle = $8600

Rate = 3.95%

Total amount = $21000

So the total interest will be = Amount -principle = 21000-8600=$12400

So by using the formula

[tex]SI = \dfrac{P\times R\times T}{100}[/tex]

Here p = principle

R= Rate of interest

T= time

SI= interest amount

Now putting the values

[tex]12400= \dfrac{8600\times3.95\times T\time}{100}[/tex]

[tex]T=\dfrac{12400\times100}{3.95\times8600}[/tex]

[tex]\rm T=36.5 \ years[/tex]

Thus the time needed to reach the amount of $21000 will be 36.5 years.

To know more about simple interests follow

https://brainly.com/question/2294792

One kilogram is approximately 2.2 pounds. An elevator in London shows a weight limit of 200
kilograms. How many pounds (lbs.) is this?

Answers

Answer:

440!!

Hope I helped! (and also if nobody said this today, remember that you´re loved) <33

Line segment XY has the coordinates X(–12, –6) and Y(5, 6). What is the approximate length of line segment XY?

A.
21.1 units

B.
20.8 units

C.
13.9 units

D.
12.5 units

Answers

Answer:

20.8

Step-by-step explanation:

Please ANSWER NOW, PLEASE HELP , for math 100 points!!!

Answers

Caution:-

Calculated approximate values as we can't use ruler in screen !

As

1/2in=4ft1in=8ft

#1

Sides are

6in3in7in4in

Perimeter=20in=20(8)=160ft

#2

Perimeter=2(2+1.5)=2(3.5)=7in=7(8)=56ft

#3

Width:-

2in2(8)16ft

x + 3=12 need help now someone please help me

Answers

Answer:

x = 9

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 3 from both sides of the equation:

x + 3 (-3) = 12 (-3)

x = 12 - 3

x = 9

x = 9 is your answer.

~

Ali saved Rs. 36. .
He spent 3/4 of his saving on a toy car.
What is the price of the toy car?

Answers

Answer:

₹ 108

Step-by-step explanation:

Let the money Ali saved be x

As he spent 3/4 of x, part of money save is (1/4) of x

[tex]\frac{1}{4}*x = 36\\\\[/tex]

    x = 36*4

    x = ₹ 144

Price of toy = 144 - 36 =  ₹ 108

Ali saved Rs. 36. So, the saving of Ali is Rs. 36

Now he is spending some money for buying a toy car for him with his savings. He spent 3/4 of the saving for paying for the car.

So, Price of the car:

• 3/4 of the saving

Proceeding further mathematically,

➝ 3/4 × Rs. 36

➝ Rs. 108 / 4

Rs. 27

Thus the price of the car is Rs. 27. And we are done...

Carry On Learning [tex]![/tex]

how to Write 2 3/5 as a single fraction greater than one

Answers

Answer:

13/5

Step-by-step explanation:

Multiplying 5 and 2 and adding to 3 will give u the new numerator

Answer:

13/5 or 2.6

Step-by-step explanation:

2 3/5

2×5=10

10 + 3= 13

Put it in top of your original denominator

13/5 or 2.6

Help...../..........///////////.

Answers

Answer:

The answer is C. $2.20 per lb

it is C 2.20 per pound

Step-by-step explanation:

because 2.20 x 5 = 11 hope

hope this helps

Find the value of the missing variable(s). All figures are kites. (please don't leave any links...)

Answers

Answer:

Step-by-step explanation:

The values of x and y are required.

and

From the given figure the sides and are equal.

Also, and are equal.

So,

Hence, and

What are all the statistical questions?

Answers

Answer: A, E, G

Explanation:
statistical question is a question that can be answered by collecting data that vary.

B is wrong bc it’s asking “why” - can’t collect data for that.
C is wrong bc it’s only asking for 1 piece of data.
D is wrong bc asking for 1 piece of data.
F is wrong bc asking for 1 piece of data.

What is the slope of the line on the graph ? I’ll give you a like for answer plus I suck at math also this is k12 answer

Answers

Answer:

m= [tex]-\frac{1}{3}[/tex]

Explanation:

Formula is Y=mx+b

m equals the slope (rise/run each point).

x stays for an ongoing function.

b is the y intersect(You'll see that the line crossed +4 on the vertical line).

Looking at the line from left to right, it starts from the top to the bottom instead of button to top. If this slope goes down, it is negative.

[tex]y=-\frac{1}{3}x+4[/tex]

That is why [tex]m=-\frac{1}{3}[/tex] instead of [tex]m=\frac{1}{3}[/tex]

The height after t seconds of an object projected upward with an initial velocity of 48 feet per second from a 210-foot tower can be modeled by h=−16t^2 + 48t +210. The height of a neighboring 50-foot tall building is modeled by the equation h=50. The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5. Which statement BEST describes the validity of these solutions? A. Neither solution is valid since time values cannot be squared. B. The solution t = – 2 is the only solution since 5 seconds is an unreasonable amount of time for the object to reach a height of 50 feet. C. The solution t = 5 is the only valid solution to this system since time cannot be negative. D. Both are valid solutions to this system since both values make the equation h=−16t^2+ 48t + 210 true.

Answers

Given:

The height h of an object after t seconds is

[tex]h=-16t^2+48t+210[/tex]

The height of a neighboring 50-foot tall building is modeled by the equation h=50.

The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.

To find:

The statement which describes the validity of these solutions.

Solution:

We have,

[tex]h=-16t^2+48t+210[/tex]

Here, t is the time in seconds.

For t=-2,

[tex]h=-16(2)^2+48(-2)+210[/tex]

[tex]h=-64-96+210[/tex]

[tex]h=50[/tex]

For t=5,

[tex]h=-16(5)^2+48(5)+210[/tex]

[tex]h=-400+240+210[/tex]

[tex]h=50[/tex]

So, the value of h is 50 at t=-2 and t=5.

We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.

The solution t = 5 is the only valid solution to this system since time cannot be negative.

Therefore, the correct option is C.

WILL GIVE BRAINLIEST TO RIGHT ANSWER!!1

Answers

850 students so those with no participation would be 12% of 850, which is also 0.12*850. Only one sport would be 0.42*850. Two sports would be 0.28*850. Three or more sports would be 0.18*850.

No participation: 102 students

Only one sport: 357 students

Two Sports: 238 students

Three of more sports: 153 students

Answer:

No Participation: 102 students

Only One Sport: 357 students

Two Sports: 238 students

Three or More Sports: 153 students

Step-by-step explanation:

The percentages represent parts of the total.

To calculate the number of students, we would need to take a percentage of the total.

So for the No Participation group, we would take 12% of 850. "Of" indicates that we would multiply the terms together.

To multiply a %, we first need to convert it to a decimal by moving the decimal point to the left two times.

The No Participation group would then be 0.12 × 850 which equals 102.

The 1 sport group would be 0.42 × 850 = 357

The 2 sport group would be 0.28 × 850 = 238

And the 3+ sport group would be 0.18 × 850 = 153

If x>-1, which number could be a value of x? O A. -1 O B. -7 O c. 1 O D.-13​

Answers

Answer:

1

Step-by-step explanation:

all the other are less than -1 and since the rule is that x has to be greater than -1 its 1

Which 2 numbers that are between -8 and 5/4? -4.0, 1.3%, -0.1, -1/4, 3/2, 130% Help me!!

Answers

Answer:

This is a "strategic" guess

Step-by-step explanation:

I think it is -0.1

Tony purchased a rare 1959 Gibson Les Paul guitar for $12,000. Experts estimate that its value will increase by 14% per year. If this trend continues, how many years will it take for the guitar to reach a value of $90,000?

Answers

Answer: 214332.47

There is no need to explain you can just see the photo that I had displayed.

simplify (5x-7) (2x+3) (7x-8)

Answers

Answer:

70x³ - 73x² - 155x + 168

Step-by-step explanation:

Given

(5x - 7)(2x + 3)(7x - 8) ← expand the first pair of factors using FOIL

= (10x² + x - 21)(7x - 8)

Each term in the second factor is multiplied by each term in the first factor, that is

10x² (7x - 8) + x(7x - 8) - 21(7x - 8) ← distribute the 3 parenthesis

= 70x³ - 80x² + 7x² - 8x - 147x + 168 ← collect like terms

= 70x³ - 73x² - 155x + 168

What is the area of a circle with a radius of 12 feet?

Answers

Answer:

[tex]144 \times \pi = 452.38[/tex]

Answer:

144π ft² or approximately 452.16 ft²

Step-by-step explanation:

The area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 12 feet. For pi, we can solve area in terms of pi or approximate pi to 3.14.

Approximation of Pi:

[tex]3.14 *12^2[/tex] [tex]3.14*144[/tex] [tex]452.16[/tex] 452.16 ft²

In terms of Pi:

[tex]\pi *12^2[/tex] [tex]\pi *144[/tex] [tex]144\pi[/tex] 144π ft²

Find the value of the variable in the parallelogram.

RZ = 4x + 2
SW=9x - 8

X=

Answers

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

This parallelogram contains a right angle. This tells us that the parallelogram is a rectangle.

The diagonals in a parralelogram bisect each other.

The diagonals in a rectangle are congruent.

[tex]RZ+ZT=RT\\(4x+2)+(4x+2)=RT\\8x+4=RT[/tex]

[tex]RT=SW\\8x+4=9x-8\\4=x-8\\x=12[/tex]

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