A public bus company official claims that the mean waiting time for Bus # 14 during peak hours is approximately 10 minutes. Karen took Bus # 14 during peak hours on 36 different occasions. Her mean waiting time was 8.7 minutes. Assume that the population standard deviation o of 2.9 minutes is known. At the 0.01 significance level, test if the mean of all the peak hours waiting time for Bus # 14 is significantly different from 10 minutes. Part I. Which of the following is the appropriate set of null and alternative hypotheses? [Select] - A. Ho : μ = 8.7 vs Ha : μ # 8.7 B. Ho X = 8.7 vs H₁ : X : 8.7 X = 10 vs H₂ : X C. Ho D. Ho = 10 vs Ha: 10 10 Part II. What is the computed value of the test statistic Part III. What conclusion may be drawn? [Select] ✓ [Select] -2.6897 2.6897 -2.6789 2.9867 W. There is sufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 does not differ significantly from the hypothesized mean waiting time. X. There is insufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 does not differ significantly from the hypothesized mean waiting time. Y. There is sufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 differs significantly from the hypothesized mean waiting time. Z. There is insufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 differs significantly from the hypothesized mean waiting time. MacBook Air

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A public bus company official claims that the mean waiting time for Bus # 14 during peak hours is
approximately 10 minutes. Karen took Bus # 14 during peak hours on 36 different occasions. Her
mean waiting time was 8.7 minutes. Assume that the population standard deviation of 2.9
minutes is known. At the 0.01 significance level, test if the mean of all the peak hours waiting time
for Bus # 14 is significantly different from 10 minutes.
Part I. Which of the following is the appropriate set of null and alternative hypotheses?
[Select]
A. Hg : μ = 8.7 vs Ha : μ =
8.7
B. Ho: X = 8.7 vs H₁ : X 8.7
C. Họ : X = 10 vs Ha :X±10
D. Ho = 10 vs Ha: 10
Part II. What is the computed value of the test statistic
✓ [Select]
-2.6897
2.6897
-2.6789
2.9867
Part III. What conclusion may be drawn? [Select]
W. There is sufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 does t
not differ significantly from the hypothesized mean waiting time.
X. There is insufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 does
not differ significantly from the hypothesized mean waiting time.
Y. There is sufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 differs
significantly from the hypothesized mean waiting time.
Z. There is insufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14
differs significantly from the hypothesized mean waiting time.
MacBook Air
Transcribed Image Text:A public bus company official claims that the mean waiting time for Bus # 14 during peak hours is approximately 10 minutes. Karen took Bus # 14 during peak hours on 36 different occasions. Her mean waiting time was 8.7 minutes. Assume that the population standard deviation of 2.9 minutes is known. At the 0.01 significance level, test if the mean of all the peak hours waiting time for Bus # 14 is significantly different from 10 minutes. Part I. Which of the following is the appropriate set of null and alternative hypotheses? [Select] A. Hg : μ = 8.7 vs Ha : μ = 8.7 B. Ho: X = 8.7 vs H₁ : X 8.7 C. Họ : X = 10 vs Ha :X±10 D. Ho = 10 vs Ha: 10 Part II. What is the computed value of the test statistic ✓ [Select] -2.6897 2.6897 -2.6789 2.9867 Part III. What conclusion may be drawn? [Select] W. There is sufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 does t not differ significantly from the hypothesized mean waiting time. X. There is insufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 does not differ significantly from the hypothesized mean waiting time. Y. There is sufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 differs significantly from the hypothesized mean waiting time. Z. There is insufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 differs significantly from the hypothesized mean waiting time. MacBook Air
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