1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ELEN [110]
3 years ago
13

An article in Medicine and Science in Sports and Exercise ["Maximal Leg-Strength Training Improves Cycling Economy in Previously

Untrained Men" (2005, Vol. 37, pp. 131–136)] studied cycling performance before and after 8 weeks of leg-strength training. Seven previously untrained males performed leg-strength training 3 days per week for 8 weeks (with four sets of five replications at 85% of one repetition maximum). Peak power during incremental cycling increased to a mean of 315 watts with a standard deviation of 16 watts. Construct a 95% confidence interval for the mean peak power after training.
Mathematics
1 answer:
Sholpan [36]3 years ago
7 0

Answer:

[300.202 , 329.798]

Step-by-step explanation:

The 95% confidence interval is given by the interval

\large [\bar x-t^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]

where

\large \bar x <em>is the sample mean  </em>

<em>s is the sample standard deviation  </em>

<em>n is the sample size (n = 7)  </em>

\large t^* is the 0.05 (5%) upper critical value for the Student's t-distribution with 6 degrees of freedom (sample size -1), which is <em>an approximation to the Normal distribution for small samples (n<30).</em>

Either by using a table or the computer, we find  

\large t^*= 2.447

and our 95% confidence interval is

\large [315-2.447*\frac{16}{\sqrt{7}}, 315+2.447*\frac{16}{\sqrt{7}}]=\boxed{[300.202,329.798]}

You might be interested in
Use logarithmic differentiation to find dy/dx if y=(cosx)sinx. Write the derivative in terms of x only. Show all your work.
gladu [14]

Step-by-step explanation:

y = (cos x)^(sin x)

Take log both sides.

ln y = ln ((cos x)^(sin x))

ln y = (sin x) ln (cos x)

Take derivative.

1/y dy/dx = (sin x) (1/cos x) (-sin x) + (cos x) ln (cos x)

dy/dx = y [ (cos x) ln (cos x) − sin x tan x ]

dy/dx = (cos x)^(sin x) [ (cos x) ln (cos x) − sin x tan x ]

Your answer is correct.

7 0
3 years ago
Read 2 more answers
Please help me!!!!!!!!!!!!!!
9966 [12]

Answer:

See below

Step-by-step explanation:

I can't draw it for you so here are the points.  Draw your triangle with them.

From the original triangle, to rotate 180 degrees around the origin, just imagine your are flipping your computer screen upside down which is 180 degrees.  To get the coordinates for the points, just make each x and y value the opposite of what the origin is.

Original points  ( 2, 1 )      ( 5, -2 )    ( 3, -4 )

Rotated points  ( -2, -1 )    ( -5, 2 )    ( -3, 4 )

8 0
2 years ago
Last week, it rained g inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain tha
dybincka [34]

Answer:

The correct answers are:

0.95g

g - 0.05g

(1 - 0.05)g

Step-by-step explanation:

Amount of last week's rain = g inches

this week = 5% decrease on last week's amount

5% of last week's amount = 5/100 × g = 0.05g

∴ This week's amount of rain = 0.05g decrease

∴ Amount of rain this week = (Amount of rain last week) - 0.05g

∴ Amount of rain this week = g - 0.05g

This can be simplified by factorizing the common term "g"

g - 0.05g = g(1 - 0.05) = 0.95g

4 0
2 years ago
NEED HELP ASAP!!
devlian [24]

Answer:we multiply by the reciprocal of a fraction when completing a division problem because it is a rule in mathematics that when you divide two fraction, you change the division sign to multiplication and flip the fraction at the right of the multiplication sign.

Step-by-step explanation:

For example if you have 4÷ 1/2. It basically means how many 1/2 can one get in 4. And the answers is 8.

Therefore multiplying by the reciprocal of a fraction when completing a division problem is a short cut method that has been tested and proven to be correct.

4 0
3 years ago
Last option is none of the above
BigorU [14]

Answer:

A and B

Step-by-step explanation:

When rotating a point (or any shape around a certain point), none of the diameters of the shape will change. So for example, with this circle, when you rotate it around a point, the radius and circumference will not change because it has just rotated. It wont be on the x-axis though because point P is not on the x-axis an it is being rotated 180 degrees about point P. Just know that when you are rotating, nothing about the shape changes, all angles or measurements will be the same, it is just moving to a different place.

Hope this helped ^-^

7 0
3 years ago
Other questions:
  • Help plz asap!!!!!!!!!!!!!!!!!!!!!!!!
    14·1 answer
  • Solve<br> Sin(2theta)=1/2
    10·1 answer
  • WHO AM I? “I am between 50 and 100. I am divisible by 3 and 4. My tens digit is double my ones digit.
    14·1 answer
  • Write a recursive and explicit rule for each Arithmetic Sequence.
    11·1 answer
  • I need help with this math.
    11·1 answer
  • Can someone help with this question? I’m stuck.
    15·1 answer
  • Devide 840 in the ratio 3:4​
    10·1 answer
  • Lines a and b are perpendicular. Which statements below must be true? Select all that apply. The slopes of lines a and b are rec
    6·1 answer
  • Find the value of f(–2) for the function f(x) = 4x + 10.
    6·2 answers
  • HELPPP
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!