Answer (Choose 1 answer)
The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. See picture for the Excel output at significance level 0.05 from a study whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels. Assume that the population variances in the amount of time for the two hotels are not equal.
State the null and alternative hypotheses for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels.
A. (iii)
B. (iv)
C. (ii)
D. (i)
t-Test: Two-Sample Assuming Unequal Variances
\overline{Hotel~I}
Mean
2.214. 2.0115
2.951657
20
0
Variance
3.57855
20
38
Observations
Hypothesized Mean
Difference
df
t Stat
0.354386
P(T<=t) one-tail
0.362504
1.685953
t Critical one-tail
P(T<=t) two-tail
0.725009
t Critical two-tail
Hotel 2
2.024394
(i)H_{0}:\sigma_{I}^{2}-\sigma_{II}^{2}\ge0 versus H_{1}:\sigma_{I}^{2}-\sigma_{II}^{2}<0
(ii)H_{0}:\sigma_{I}^{2}-\sigma_{II}^{2}\le0 versus H_{1}:\sigma_{I}^{2}-\sigma_{II}^{2}>0
(iii) Ho: - = 0 versus H_{1}:\sigma_{I}^{2}-\sigma_{II}^{2}e0
(iv) H_{0}:\sigma_{I}^{2}-\sigma_{II}^{2}e0 versus H_{1}:\sigma_{I}^{2}-\sigma_{II}^{2}=0
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