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.
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.
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.
Transcribed Image Text: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
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