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Assoli18 [71]
2 years ago
15

1. A researcher is interested in studying whether or not listening to music while jogging makes people run faster. He thinks tha

t listening to music will make people run faster. Luckily, he knows that, for the population he interested in (runners in Washington, DC), the mean running speed (μ) is 6mph, and the standard error is 2mph. He collects data from a sample of runners that only listen to music, and finds they have a mean running speed (M) of 9mph. No Sample Size givenA. State the hypothesisH0:H1:B. The researcher would like to conduct a One-Sample Z-test. Please calculate the Z-statistic (Z-obtained):
Mathematics
1 answer:
castortr0y [4]2 years ago
4 0

Step-by-step explanation:

1.Assuming the same sample size and considering the same value for the errors ( not taking into consideration the type of music, the volume of the sound and cow familiar the runner is with that type of stimuli, age group, time of the day/ number of days, running conditions like wether and equipment, distance) one can state:

A. Music has no influence over the running speed ( when jogging) in Washington DC

B.When listening to music, people ( in Washington DC) run faster while jogging

The mean running speed is a simple, ponderate or other type of mean ( that takes into consideration the variations of speed at the beginning and by the end of the race?

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A brochure from the department of public safety in a northern state recommends that motorists should carry 12 items (flashlights
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Answer:

Mean = 6.07

Median = 7

Mode = 7

Step-by-step explanation:

Given

Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9

n = 15

Solving (a): The mean

Mean is calculated as:

Mean = \frac{\sum x}{n}

This gives:

Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}

Mean = \frac{91}{15}

Mean = 6.07

Solving (b): The median

Sort the data in ascending order:

Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9

Sorted: 0\ 0\ 1\ 3\ 5\ 5\  6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12

The median is:

Median = \frac{n + 1}{2}th

Median = \frac{15 + 1}{2}th

Median = \frac{16}{2}th

Median = 8th    

The 8th item on the sorted dataset is 7; So:

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Because it has a frequency of 3 (more than any other element of the dataset).

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What expression represents the value of v?
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Select all of the following points that lie on the graph of f(x) = 7 - 3x.
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The points that lie on the graph of f(x) = 7 - 3 x, are (-1 , 10) , (2 , 1)

and (0 , 7)

Step-by-step explanation:

To prove that a point lies on the graph of a line

  • Substitute the coordinates of the point in the equation of the line
  • If the left hand side is equal to the right hand side, then the point lies on the graph of the line

∵ The equation of the line is f(x) = 7 - 3 x

∵ f(x) = y

∴ y = 7 - 3 x

Point (-2 , 1)

∵ x = -2 and y = 1

- Substitute them in the equation

∴ 1 = 7 - 3(-2)

∴ 1 = 7 + 6

∴ 1 ≠ 13

∵ The left hand side is not equal the right hand side

∴ Point (-2 , 1) does not lie on the graph of the line

Point (-1 , 10)

∵ x = -1 and y = 10

- Substitute them in the equation

∴ 10 = 7 - 3(-1)

∴ 10 = 7 + 3

∴ 10 = 10

∵ The left hand side is equal the right hand side

∴ Point (-1 , 10) lies on the graph of the line

Point (2 , 1)

∵ x = 2 and y = 1

- Substitute them in the equation

∴ 1 = 7 - 3(2)

∴ 1 = 7 - 6

∴ 1 = 1

∵ The left hand side is equal the right hand side

∴ Point (2 , 1) lies on the graph of the line

Point (1 , 5)

∵ x = 1 and y = 5

- Substitute them in the equation

∴ 5 = 7 - 3(1)

∴ 5 = 7 - 3

∴ 5 ≠ 4

∵ The left hand side is not equal the right hand side

∴ Point (1 , 5) does not lie on the graph of the line

Point (0 , 7)

∵ x = 0 and y = 7

- Substitute them in the equation

∴ 7 = 7 - 3(0)

∴ 7 = 7 - 0

∴ 7 = 7

∵ The left hand side is equal the right hand side

∴ Point (0 , 7) lies on the graph of the line

The points that lie on the graph of f(x) = 7 - 3 x, are (-1 , 10) , (2 , 1)

and (0 , 7)

Learn more:

You can learn more about the linear equation in brainly.com/question/4326955

#LearnwithBrainly

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