Examine the data below showing the weights (in pounds) of randomly selected chec
ID: 3245696 • Letter: E
Question
Examine the data below showing the weights (in pounds) of randomly selected checked bags for an airline's flights on the same day.
Does the evidence convince you that the mean weight of international bags is greater? Select the appropriate hypotheses.
At = .05, what is the decision rule? Assume unequal variances. Use the quick rule for degrees of freedom.
Assuming 12 = variance of the international bags, is the variance greater for bags on international flights? Choose the correct hypothesis.
Examine the data below showing the weights (in pounds) of randomly selected checked bags for an airline's flights on the same day.
Explanation / Answer
Answer:
Does the evidence convince you that the mean weight of international bags is greater? Select the appropriate hypotheses.
Answer: a. H0: 1 – 2 0 vs H1: 1 – 2 > 0
b. H0: 1 – 2 0 vs H1: 1 – 2 < 0
(a-2)
At = .05, what is the decision rule? Assume unequal variances. Use the quick rule for degrees of freedom.
Answer:
a. Reject the null hypothesis if tcalc > 1.833 (9 df.)
b. Reject the null hypothesis if tcalc < 1.833 (9 df.)
(a-3)
Assume unequal variances. What is the test statistic? (Round the values of and bar to 2 decimal places and (s1)2 and (s2)2 to 4 decimal places. Round your answer to 4 decimal places.)
Test statistic =3.1628
(a-4)
At = .05, is the mean weight of an international bag greater?
Reject, the mean is greater.
(b-1)
Assuming 12 = variance of the international bags, is the variance greater for bags on international flights? Choose the correct hypothesis.
(b-2)
At = .05, what is the decision rule?
Answer: a. Reject H0 if Fcalc > 2.65
b. Reject H0 if Fcalc < 2.65
(b-3)
What is the test statistic? (Round your answer to 2 decimal places.)
Test statistic =6.74
(b-4)
At = .05, is the variance greater for bags on an international flight?
Reject Ho, the variance is greater.
Hypothesis Test: Independent Groups (t-test, unequal variance)
International
Domestic
48.60
36.13
mean
11.89
4.58
std. dev.
10
15
n
10
df
12.467
difference (International - Domestic)
3.942
standard error of difference
0
hypothesized difference
3.1628
t
.0051
p-value (one-tailed, upper)
F-test for equality of variance
141.38
variance: International
20.98
variance: Domestic
6.74
F
.0018
p-value
Does the evidence convince you that the mean weight of international bags is greater? Select the appropriate hypotheses.
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