Answered: Two surfers and statistics students…

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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Question

Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05.

4	6
9	4
7	4
4	6
8	7
7	8
10	8
6	10
7	4
10	7
13	9
12	5
11	10
15	7
12	4
15	15
12	11
11	11
11	11
19	11
18	10
15	13
10	11
17	12
18	14
21	16
9	9
23	22
22	22
21	10

Find the test statistic for this test. t= (Round to two decimal places as needed.)

Find the p-value for this test. p= (Round to three decimal places as needed.)

What is the conclusion for this test?

Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random
samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05.
Longboard: 4,9,7,4,8,7,10,6,7,10,13,12,11,15,12,15,12,11,11,19,18,15,10,17,18,21,9,23,22,21
Shortboard: 6,4,4,6,7,8,8,10,4,7,9,5,10,7,4,15,11,11,11,11,10,13,11,12,14,16,9,22,22,10
LI' . pu I
Find the p-value for this test.
p-value = (Round to three decimal places as needed.)
e3D
What is the conclusion for this test?
O A. Reject Ho. The mean days surfed for longboarders is not significantly larger than the mean days surfed for all shortboarders
O B. Do not reject Ho. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders
O C. Reject Ho. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders
O D. Do not reject Hn. The mean days surfed for longboarders is not significantly larger than the mean days surfed for all shortboarders

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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