r or 14 (5 complete) to data table below, which shows the amounts of nicotine (m
ID: 3351341 • Letter: R
Question
r or 14 (5 complete) to data table below, which shows the amounts of nicotine (mg per cigarette) in king size, 100 mm menthol, and 100 mm nonmenthol cigarettes The king size cigaretes are n mm nonmenthol cigarettes are fitered. Use a 0 05 significance level to test the claim that the three categones onfitered, while the 100 mm menthol and the 100 do the of cigarettes yield the same mean amount of nicotine. Giwen that only the king size cigarettes are not filtered, Eters appear to make a difference? EE Click the icon to iew the data table What is the conclusion for this hypothesis test? Data Tabe A. Fail to reject Ho. There is sufficient evidence to warrant the rejection of the claim that the three categones of cigarattes yield the s B. Reject Ho There is suficient evidence to warrant rejection of the clam that the three categonies of cigarettes yield the same mean an C. Reject Hg. There is insufficient evidence to wartant the rejection of the claim that the three categones of c-garettes yield the same D. fail to reject H, There is insuficient endence to wariant the rejection of the claim that the thee catugones af cigarettes yieid the s Filtered 100 mm Nonmenthol Menthol Brand Nicotine Size aBrandNic Nicotine 0.2 0.9 1.2 0.8 1.3 Do the filters appear to make a difference? 0.6 A. Given that the king size cigarettes have the largest mean, it appear 1.2 1.0 that the filters do make a difference Kalthough this conclusion is to make a difference because there is sufficient erndence to warrant the rejection of the claim 0.7 B. No, the filters do not appear C. The results are inconclusiwe because the king size cigaretes are a different size than the hitered cgarettes 1.0 1 2 1 0 No, the filters do not appear to make a difference because thore is insuficient evidenca t to warant the rejection of the claim 0.8 1009 ick to select your answer Print Done ^ 9a, d O Type here to search 1/17/2018Explanation / Answer
Answer:
B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean.
( calculated F=4.76, P=0.017)
A. Give that the king size cigarettes have the largest mean, it appears that the filters do make a difference.
( post hoc test shows menthol and Filtered 100 mm are significant).
One factor ANOVA
Mean
n
Std. Dev
1.14
10
0.151
King
1.12
10
0.204
Menthol
0.86
10
0.299
Filtered100mm
1.04
30
0.254
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
0.488
2
0.2440
4.76
.0170
Error
1.384
27
0.0513
Total
1.872
29
Post hoc analysis
p-values for pairwise t-tests
Filtered100mm
Menthol
King
0.86
1.12
1.14
Filtered100mm
0.86
Menthol
1.12
.0161
King
1.14
.0101
.8449
Tukey simultaneous comparison t-values (d.f. = 27)
Filtered100mm
Menthol
King
0.86
1.12
1.14
Filtered100mm
0.86
Menthol
1.12
2.57
King
1.14
2.77
0.20
critical values for experimentwise error rate:
0.05
2.49
0.01
3.18
One factor ANOVA
Mean
n
Std. Dev
1.14
10
0.151
King
1.12
10
0.204
Menthol
0.86
10
0.299
Filtered100mm
1.04
30
0.254
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
0.488
2
0.2440
4.76
.0170
Error
1.384
27
0.0513
Total
1.872
29
Post hoc analysis
p-values for pairwise t-tests
Filtered100mm
Menthol
King
0.86
1.12
1.14
Filtered100mm
0.86
Menthol
1.12
.0161
King
1.14
.0101
.8449
Tukey simultaneous comparison t-values (d.f. = 27)
Filtered100mm
Menthol
King
0.86
1.12
1.14
Filtered100mm
0.86
Menthol
1.12
2.57
King
1.14
2.77
0.20
critical values for experimentwise error rate:
0.05
2.49
0.01
3.18
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