Show at least one computation using Welch’s T Test and at least one computation using the 2-Sample T Test for Equal Means.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Show at least one computation using Welch’s T Test and at least one computation using the 2-Sample T Test for Equal Means.

The Problem: Members of the Town of Colonie Golfers' Loop frequently
raise concerns to Mr. Lange, as its leader, about how the league is run. The
most frequent concern raised is that the teams competing each week are not
statistically even. In other words, members raise concerns that one or more
teams have a statistical advantage over other teams.
To evaluate the validity of these claims, Mr. Lange has decided to use a mix
of statistical hypothesis tests discussed in this course to evaluate the teams
from Outing #14 in calendar-year 2016 (2016, #14). One is the Equal Vari-
ances F Test, one is Welch's T Test, and the other is the 2-Sample T Test
for Equal Means.
In this particular outing, seven teams were competing for the win. A random
sample of eight prior scores from each team member was collected, and the
summary statistics are shown below (correct to three decimal places).
Team Sample Size Sample Mean | Sample Variance
1
24
2
32
3
32
4
5
6
7
32
32
32
32
76.500
79.656
79.500
82.375
80.406
80.281
80.438
To test for statistical evenness among these teams using the mix of tests we
described above, however, we will have to adjust the significance levels we
are accustomed to using. Use the table on the next page to help you:
If you are using...... use
0.238%
5%
1% 0.048%
0.1% 0.005%
14.522
18.233
13.097
47.984
18.314
11.047
14.383
1
Transcribed Image Text:The Problem: Members of the Town of Colonie Golfers' Loop frequently raise concerns to Mr. Lange, as its leader, about how the league is run. The most frequent concern raised is that the teams competing each week are not statistically even. In other words, members raise concerns that one or more teams have a statistical advantage over other teams. To evaluate the validity of these claims, Mr. Lange has decided to use a mix of statistical hypothesis tests discussed in this course to evaluate the teams from Outing #14 in calendar-year 2016 (2016, #14). One is the Equal Vari- ances F Test, one is Welch's T Test, and the other is the 2-Sample T Test for Equal Means. In this particular outing, seven teams were competing for the win. A random sample of eight prior scores from each team member was collected, and the summary statistics are shown below (correct to three decimal places). Team Sample Size Sample Mean | Sample Variance 1 24 2 32 3 32 4 5 6 7 32 32 32 32 76.500 79.656 79.500 82.375 80.406 80.281 80.438 To test for statistical evenness among these teams using the mix of tests we described above, however, we will have to adjust the significance levels we are accustomed to using. Use the table on the next page to help you: If you are using...... use 0.238% 5% 1% 0.048% 0.1% 0.005% 14.522 18.233 13.097 47.984 18.314 11.047 14.383 1
2
3
دن
4
5
6
7
79.656
79.500
82.375
80.406
80.281
80.438
Transcribed Image Text:2 3 دن 4 5 6 7 79.656 79.500 82.375 80.406 80.281 80.438
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