Historically, the average time it takes KIm to swim the 200 meter butterfly is 148.4 seconds. Kim would like to know if her average time has changed. She records her time on 50 randomly selected occasions and computes the mean to be 147.8 with a standard deviation of 2.3 seconds. Determine the null and alternative hypothesis, and your conclusion at the level of significance .01.

Answers

Answer 1

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Follows are the description of the null and alternative Hypothesis:

[tex]H_0: \mu = 148.4\\\\H_a: \mu \neq 148.4[/tex]

Region of rejection

[tex]\alpha = 0.01\\\\ df = 49\\\\[/tex]

Calculating the critical value:

[tex]t = \pm 2.68 \\\\H_0\ when\ t < -2.68 \ or\ t > 2.68[/tex]

Testing statistic values:

[tex]t = \frac{(\bar{x} - \mu)}{(\frac{s}{\sqrt{n}})}[/tex]

  [tex]= \frac{(147.8 - 148.4)}{(\frac{2.3}{\sqrt{50}})}\\\\ = \frac{-0.6}{(\frac{2.3}{7.07})}\\\\= \frac{-0.6}{0.325}\\\\ = -1.846[/tex]

[tex]P-value = 0.0711[/tex]

[tex]P-value \geq 0.01,[/tex] fail to reject null hypothesis.

There are just not enough evidence of increases in surface times.


Related Questions

What is the perimeter, in -inches, of the square shown below? A 8 B 16. C 32 D 64​

Answers

Answer:

The perimeter, in inches, is 32.

Step-by-step explanation:

Since this shape is a square, we know that all sides are equal.

The information given to us is that one side of the square measures 8 inches.

8 + 8 + 8 + 8 = 32

Answer:

c   32

Step-by-step explanation:

Squares have 4 sides of the same length

8 * 4 = 32

Let u = x ^ 2 + 3 . Which equation is equivalent to (x ^ 2 + 3) ^ 2 + 21 = 10x ^ 2 + 30 in terms of u?

Answers

Answer:i think that it is B

u^2 - 10u + 51=0

Step-by-step explanation:

I NEED THIS BY TOMORROW!!! PLEASE HELP!3. The FBI nicknamed the robbers "The Charm School Boys," because they are so nice and polite and
they don't use weapons or threats. One of the possible reasons why they are able to execute the 14400
robberies so efficiently is that plan for everything. In order to map out their escape routes, it is
important the back allies of the banks form right angles. Prove angle x is a right angle
Y2400
Elmst
-phooh
Phoes-
Oakst
120
300yd-
Walnut St
Back
Alley

Answers

Answer:

the x is 90

because its special trangle 3 4 5 but multiplied by 100

the product of nine, y and x not simplified.​

Answers

Answer:

9yx

Step-by-step explanation:

product means multiply.

nine, y and x

9yx

Rewrite the expression using exponents.
7 • 4 • 4 • 4 = 4^_ • 7^_

(Type whole numbers.)

Answers

4^3•7^2 is the answer

Help me plsssssssssssss

Answers

9514 1404 393

Answer:

  8.4

Step-by-step explanation:

The given segment relations tell you that the parallel lines are equally spaced. This means that ...

  WV = 3×WY

  WV = 3×2.8

  WV = 8.4

ABC Bookstore sells packages of books that include both new and used books. New books cost $16 and used books cost $8. The bookstore wants to sell packages that have 30 books total, and the store charges $336 for each package. How many new and used books will be in each package?

A. 318 new, 12 used

B. 12 new, 18 used

C. 16 new, 8 used

D. 8 new, 16 used​

(It's B, just took the test)

Answers

Answer:

b

Step-by-step explanation:

the following equations can be determined from the question

16n + 8o = 336 equation 1

n + o = 30 equation 2

where n = new books

o = old books

Multiply equation 2 by 8

8n + 8o = 240 equation 3

subtract equation 2 from 1

8n = 96

n = 12

substitute for n in equation 2

12 + o = 30

o = 18

Answer:

B. 12 new, 18 used

Step-by-step explanation:

Hope this helps!

Can somebody please help me with this asapp please .

Answers

Answer:

30

Step-by-step explanation:

8x6 is 48

7x6 is 42

so 5x6 is 30

Question 7 (3 points) What is the value of the missing side? Round to the nearest hundredth ​

Answers

Answer:

26.03

Step-by-step explanation:

x/ sin 90° = 19/ sin 47°

x = 19×sin90°/sin 47°

= 19 / 0.73

= 26.03

Find the surface area of the following figures.

with solution please. T-T​​

Answers

Answer:

1.a=5cm

Surface area :6a²=6×5²=150cm²

2.r=3cm

h=5cm

total surface area of cylinder =2πr(r+h)

=2π×3(3+5)=48π cm²

3.

l=4m

b=5m

h=2m

now.surface area =2(lb+lh+bh)

=2(4*5+4*2+5*2)

=76m²

4.

r=6cm

surface area =4πr²=4*π*6²=144πcm²

5.

slant height (S)=8cm

length =breadth=(L)=4cm

Surface area of pyramid =area of base + 2* area of trainglular face

=L²+2*S*L

=4²+2*8*4

=80cm²

5. A simple random sample is defined by
(A) the method of selection
(B) how representative the sample is of the population
(C) whether or not a random number generator is used
(D) the assignment of different numbers associated with the outcomes of some
chance situation
(E) examination of the outcome

Answers

Answer:

b. because if there is a bigger population the sample will be more random

Find the surface area of the composite solid.


Answers

Answer:

343.6 meters cubed

Step-by-step explanation:

28+96+96+96+27.6=343.6

Cars enter a car wash at a mean rate of 3 cars per half an hour. What is the probability that, in any hour, at least 3 cars will enter the car wash

Answers

Answer:

0.938

Step-by-step explanation:

Using the poisson probability relation:

P(x = x) = (e^-λ * λ^x) ÷ x!

λ = 3 per half an hour = 6 cars per hour

P(x ≥ 3) = 1 - [p(x = 0) + p(x = 1). + p(x = 2)]

P(x ≥ 3) = (e^-6* (6^0 + 6^1 + 6^2/2!))

P(x ≥ 3) = 1 - (e^-6 * (1 + 6 + 18)

P(x ≥ 3) = 1 - (e^-6 * 25)

P(x ≥ 3) = 1 - (0.0024787 * 25)

P(x ≥ 3) = 1 - 0.0619688

P(x ≥ 3) = 0.9380311

= 0.938

A 20 foot ladder is leaning against a 25 foot building. The bottom of the ladder is 9 feet away from the building. How high is the top of the ladder above the ground?

Answers

Answer:

17.9 feet

Step-by-step explanation:

This is a right triangle

the 20 foot ladder is the hypotenuse

The 9 foot at the bottom is one leg

The height is the remaining leg

Use the pythagorean theorem

a² + b² = c²

a² + 9² = 20²

Subtract 9² from both sides

a² = 20² - 9²

a² = 400 - 81

a² = 319

Take the square root of both sides

a = 17.860571099491752

rounded

17.9 feet

Answer:

A ladder is the hypotenuse of the right triangle.

Missing leg is x.

Use Pythagorean:

x² = 20² - 9²x² = 319x = √319x = 17.86 feet or 18 feet rounded

Which terms are like terms?
4c, 2, 6f, -5, and 7c

Answers

Like terms are terms with the same variable and exponent.( they can have different coefficient)
4c and 7c are like terms since they have same variable ‘c’
2 and -5 are like terms because both of them have no variable

Answer:

2 and -5

4c and 7c

Step-by-step explanation:

2 and -5 have no coefficient

4 and 7 have the same coefficient which in this case is c.

therefore the two pairs are like terms.

Based on the figure below, what is the value of x? (5 points) A right angle is shown divided in two parts. The measure of the angle of one part is 20 degrees and the measure of the other part is 5x plus 15 degrees.
1
9
11
15

Answers

11

a right angle = 90 they give you 20 so the remaining part of the angle is 70 so set the equation = to 70

5x+15=70 and solve

if jason had2/7 cakes and 5/9 how much wood that be

Answers

I hope this helps you out

What are the greatest commom factor of 2x2x3x5 and 2x3x3x5​

Answers

Answer:

[tex] \huge \bold \purple{answer}[/tex]

The greatest common factor of 2x2x3x5 and 2x3x3x5 is 2x3x5
The greatest common factor is 2x3x5

Write as a money amount and as a decimal in terms of dollars


33/100

Answers

Answer:

$0.33 or 33¢

Step-by-step explanation:

33/100 = 0.33 = $0.33

please answer!!! Express cos J as a fraction in simplest terms.

Answers

Answer:

Step-by-step explanation:

You need JL. Use the Pythagorean Theorem to get it.

a^2 + b^2 = c^2

a = 9

b = 40

c = ?

9^2 + 40^2 = c^2

c^2 = 1681

sqrt(c^2) = sqrt(1681)

c = 41

Cos(j) = adjacent / hypotenuse

adjacent = 9

hypotenuse = 41

Cos(J) = 9 / 41

Frequency of y=sin0/3

Answers

Answer:

y=sin(°/3) means that y equals the sine of a given degree divided by 3.

PLEASE LIKE HONESTLY PLEASE

Answers

Answer:

250 in²

Step-by-step explanation:

There are four identical rectangles so therefore area of one rectangle times 4. Then add the sum of the areas of the two identical squares.

4( l x b) + 2( l x b)

4( 10 x 5) + 2(5 x 5)

4(50) + 2(25)

200 + 50

Therefore 250 in²

HELP!!! Find the angle measure.

Answers

Answer:

AOB=40°

COD=90°

BOD=130°

AOD=180°

help asap people!!!! thanks.​

Answers

I think the arrow that’s pointing left
The correct answer is

given the system of equations, what is the value of the system to determinant.

x + y = 8

x + y = 10
-----------------
-2
-1
0

Answers

Answer:

0

Step-by-step explanation:

given the system of equations, what is the value of the system to determinant.

x + y = 8

x + y = 10

This can be written in the form AX = b

A is a 2 by 2 matrices

b is a column matrix

Taking the determinant of A

[tex]A =\left[\begin{array}{ccc}1&1\\1&1\\\end{array}\right][/tex]

We are to finds the determinant

|A| = 1(1) - 1(1)

|A| = 1 -1

|A| = 0

hence the required determinant is 0



Which of these lines is perpendicular to the line 5y = -6x + 2?

Answers

Answer:6y= -5x + 3

Step-by-step explanation:

The product of the slope of the perpendicular lines is equal to a negative one. Then the equation of the perpendicular line is 6y = 5x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line is given below.

5y = -6x + 2

The slope of the equation is -6/5.

Then the equation of the line which is perpendicular to 5y = -6x + 2 is given as

y = mx + c

The product of the slope of the perpendicular lines is equal to a negative one.

The slope of the perpendicular line will be

(-6/5) m = -1

         m = 5/6

Then the equation will be

y = (5/6)x + c

Let the equation is passing through the origin, then we have

6y = 5x

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2


Radha purchased a cosmetic item at 5 % discount. If she got the discount amount of
Rs 74, at what price did she purchase the item?
200 uhon VAT of 13% is levied​

Answers

Answer:

She purchased the item at a price of Rs 1,406.

Step-by-step explanation:

5% of discount:

This means that she paid 100% - 5% = 95% = 0.95 of the original price of x, that is, 0.95x, and 0.05x was the discount.

Original price:

She got the discount amount of Rs 74.

74 is 5% of the original price, that is:

[tex]0.05x = 74[/tex]

[tex]x = \frac{74}{0.05}[/tex]

[tex]x = 1480[/tex]

What price she purchased:

74 subtracted from the original price, that is, x - 74. So 1480 - 74 = 1406.

She purchased the item at a price of Rs 1,406.

For Mother's Day, Meghan bought her mother flowers that cost $25.34 and a card that was $2.99. She also bought herself a candy bar. If she paid with three $10 bills and got 58 cents back, how much was her candy bar.

Answers

Answer:

1.10

Step-by-step explanation:

Answer:

$1.09

Step-by-step explanation:

3 10 dollar bills is $30

$30 - $25.34 - $2.99 - $0.58 = $1.09

What is A line that a graph approaches as x or y increases, but never crosses?

Answers

Answer:

Asymptotes. The y -axis is a vertical asymptote of the graph. This means that the curve gets closer and closer to the y -axis but does not cross it. Let us consider what happens as the value of x approaches zero from the right for the equation whose graph appears above.

Step-by-step explanation:

If the quadrilateral below is a kite, find m

Answers

Answer:

49°

Step-by-step explanation:

7.5x-15+90=180

7.5x+75 =180

7.5x=105

x =14

so NPQ = ( 4×14 -7 ) = 49° this the answer

The answer is 60 degrees to your question
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