Kizspy | Question: 19
(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. (i)
B. (ii)
C. (iii)
D. (iv)
t-Test: Two-Sample Assuming Unequal Variances
Hotel 1
2.214
2.951657
20
0
Mean
Variance
Observations
Hotel 2
2.0115
3.57855
20
38
0.354386
0.362504
1.685953
0.725009
2.024394
Hypothesized Mean
Difference
df
t Stat
P(T<=t) one-tail
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail
(i)H_{0}:\sigma_{I}^{2}-\sigma_{II}^{2}\ge0 versus H_{1}:\sigma_{I}^{2}-\sigma_{II}^{2}<0
(ii) Ηο: στ-ση ≤ 0 versus H₁: σε-ση > 0
(iii) Ηο: σε-ση = 0 versus H₁: σε-ση ≠ 0
(iv) H_{0}:\sigma_{I}^{2}-\sigma_{II}^{2}e0 versus H_{1}:\sigma_{I}^{2}-\sigma_{II}^{2}=0
