Answered: Bad Dawgz is hosting its annual hot dog…

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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Bad Dawgz is hosting its annual hot dog eating competition which involves eating 14 hot dogs, six inches in length. The following attached data represent the times (in seconds) taken by each contestant to eat the first hot dog and the fourteenth (last) hot dog. Twelve contestants finished all 14 hot dogs. a. Calculate a 90% confidence interval for the mean time taken by each contestant to eat the (i) first hot dog and (ii) last hot dog. b. Test the hypothesis that the difference between the two mean times for both is 35 seconds. Use the 5% level of significance. c. Subsequently, it was learnt that the times for the last hot dog were incorrectly recorded and that each of the values is 10 seconds too large. What, if any, difference does this make to the results of the test done in part (b)? Show all steps for the hypothesis test.

Question 4
Bad Dawgz is hosting its annual hot dog eating competition which involves eating 14 hot dogs,
six inches in length. The following data represent the times (in seconds) taken by each contestant
to eat the first hot dog and the fourteenth (last) hot dog. Twelve contestants finished all 14 hot
dogs.
Contestant
1
2
3
4
5
6 7
8
9
10 11 12
First hotdog
43
42
30
42
49
36 33
44 32
32
37 31
Last hotdog
83
77
106
74
62
50 103
53 100
98
73
55

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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