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IceJOKER [234]
1 year ago
5

A group of 26 canadians were randomly selected among a local group of fitness enthusiasts to participate in an innovative fitnes

s program to lower their heart rate. After four months the group was evaluated to identify if their average heart rate was lower than the national average of 72 beats/minute. The mean heart rate for the group was 68. 5 bpm with a standard deviation of 6 bpm. Is there sufficient evidence to believe that the average heart rate for canadians who participate in this innovative fitness program is lower than the national average heart rate? what statistical procedure should be used to answer this research question?.
Mathematics
1 answer:
Lady_Fox [76]1 year ago
8 0

The appropriate statistical procedure to use here is a two-tailed hypothesis test for the population mean

What is standard deviation?

  • The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean.
  • A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Explanation:

  • Since we are interested in comparing here the mean heart rate for Canadians who participated in this fitness program, to that of the national average,
  • We have to have to conduct a hypothesis test here for sample mean
  • Since we are not trying to find the true population mean based on the sample mean, we do not have to construct a confidence interval
  • As the sample size, n = 26 < 30,therefore we will use the t-test instead of the z-test.

Therefore,  A one-sample t-test for means' is the correct choice.

To know more about sample-test check below link:

brainly.com/question/24466382

#SPJ4

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The top of a ladder slides down a vertical wall at a rate of 0.675 m/s . At the moment when the bottom of the ladder is 3 m from
Svetllana [295]

Answer:

L = 5 m

Step-by-step explanation:

The ladder, the vertical wall and the ground form a right triangle. We call A and B the ends points of the ladder ( at the wall, and the ground)

If we call L the lenght of the leadder, we get

L² = y² + x²

Taking derivatives on both sides of the equation

0 = 2y Dy/dt  +  2x Dx/dt

We know that Dy/dt = - 0,675 m/s (is sliding down , is decreasing)

And when x = 3 m  Dx/dt = 0,9 m/s

So we  can get y

0 = 2y*( -0,675) + 2*3*0,9

1,35y  =  5,4

y =   5.4 /1,35    ⇒   y = 4

And  L²  = y² + x²    ⇒  L  = √ (4)² + (3)²   ⇒  L √16 + 9

L = 5 m

4 0
3 years ago
The area of a sq tile is 36 sq centimeters. What is the length of the tile?
pav-90 [236]
25.46
Sorry if I am not right
4 0
3 years ago
Claire had 4 1/6 feet of string. She used some string to hang out decorations. Now she has 1 5/6 feet of string left. How much s
vodka [1.7K]

Answer:

Length of string used by Claire = 7 / 3 feet

Step-by-step explanation:

Given:

Length of string Claire in starts = 4\frac{1}{6} feet

Length of string Claire in end = 1\frac{5}{6} feet

Find:

Length of string used by Claire

Computation:

Length of string Claire in starts = 4\frac{1}{6} feet = 25 / 6 feet

Length of string Claire in end = 1\frac{5}{6} feet = 11 / 6 feet

Length of string used by Claire = Length of string Claire in starts - Length of string Claire in end

Length of string used by Claire = [25 / 6] - [11 / 6]

BY taking LCM

Length of string used by Claire = [25 - 11] / 6

Length of string used by Claire = 14 / 6

Length of string used by Claire = 7 / 3 feet

8 0
3 years ago
Given these two data sets, IQ-GPA and IQ-SAT, how would you predict Justin’s SAT score based on his GPA? Explain.
daser333 [38]

Answer:

First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.

Step-by-step explanation:

have a great day!

8 0
3 years ago
Read 2 more answers
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Brilliant_brown [7]

Answer: 1 \frac{5}{27}

Step-by-step explanation:

\frac{8}{9}  x  1\frac{1}{3} = 1\frac{5}{27}

3 0
3 years ago
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