eff Parent is a statistics instructor who participates in triathalons. Listed below are times (in minutes) he recorded while riding a ricycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same mean time to ride each of the miles. Mile 1: 3.15 3.24 3.23 3.22 3.21 Mile 2: 3.19 3.22 3.21 3.17 3.19 Mile 3: 3.34 3.31 3.29 3.31 3.29 a. Define the parameter(s) A. mu equals The mean lap time B. p 1 equals The mean time for mile 1 p 2 equals The mean time for mile 2 p 3 equals The mean time for mile 3 C. mu equals The mean difference between the 3 miles D. mu 1 equals The mean time for mile 1 mu 2 equals The mean time for mile 2 mu 3 equals The mean time for mile 3 b. State Upper H 0 . A. mu equals 0 B. mu 1 equals mu 2 equals mu 3 C. mu 1 not equals mu 2 not equals mu 3 D. mu 1 equals mu 2 equals mu 3 equals 3.12 c. Calculate the P-value. Which of these options is closest to the P-value? A. 3.4535 B. 0.0009 C. 1.0000 D. 0.0000 d. State the technical conclusion. A. Do not reject Upper H 0 B. Reject Upper H 0 e. State the final conclusion. A. There is sufficient evidence to warrant rejection of the claim. B. There is not sufficient evidence to warrant rejection of the claim. C. There is not sufficient sample evidence to support the claim. D. The sample data support the claim. f. Does one of the miles appear to take longer than the others?

Name: Jeff Parent is a statistics instructor who participates in triathalons
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Description: Jeff Parent is a statistics instructor who participates in triathalons. Listed below are times (in minutes) he recorded while riding a ricycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Jeff Parent is a statistics instructor who participates in triathalons. Listed below are times (in minutes) he recorded while riding a ricycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same mean time to ride each of the miles.

Mile 1: 3.15 3.24 3.23 3.22 3.21

Mile 2: 3.19 3.22 3.21 3.17 3.19

Mile 3: 3.34 3.31 3.29 3.31 3.29

a. Define the parameter(s)

mu equals

The

mean lap time

p 1 equals

The

mean time for mile 1

p 2 equals

The

mean time for mile 2

p 3 equals

The

mean time for mile 3

mu equals

The

mean difference between the 3 miles

mu 1 equals

The

mean time for mile 1

mu 2 equals

The

mean time for mile 2

mu 3 equals

The

mean time for mile 3

b. State

Upper H 0

mu equals 0

mu 1 equals mu 2 equals mu 3

mu 1 not equals mu 2 not equals mu 3

mu 1 equals mu 2 equals mu 3 equals 3.12

c. Calculate the P-value. Which of these options is closest to the P-value?

3.4535

0.0009

1.0000

0.0000

d. State the technical conclusion.

Do not reject Upper H 0

Reject Upper H 0

e. State the final conclusion.

There is sufficient evidence to warrant rejection of the claim.

There is not sufficient evidence to warrant rejection of the claim.

There is not sufficient sample evidence to support the claim.

The sample data support the claim.

f. Does one of the miles appear to take longer than the others?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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