Question 483495: I am having a lot of difficulties answering these questions if anyone could please help me I'd greatly appreciate it. Thank you for your help & your time!
Metro Bank claims that the mean wait time for a teller during peak hours is less than 4 minutes. A random sample of 20 wait times has a mean of 2.6 minutes with a sample standard deviation of 2.1 minutes. Assume the distribution is normally distributed.
a. Use the critical t0 value method to test Metro Bank's claim that the mean wait time is less than 4 minutes. Test the claim at the level of significance = 0.05.
1. H0:
Ha:
2. = 0.05
3. Test statistic(t):
4. Critical t0:
5. Rejection Region:
6. Decision:
7. Interpretation:
. Use the critical t0 value method to test Metro Bank's claim that the mean wait time is less than 4 minutes. Test the claim at the level of significance = 0.01
1. H0:
Ha:
2. = 0.01
3. Test statistic(t):
4. Critical t0:
5. Rejection Region:
6. Decision:
7. Interpretation
In a recent poll, it was found that 43% of registered U.S. voters would vote for the incumbent president. If 100 registered voters were sampled randomly, it was found that 35% would vote of the incumbent. Test the claim that the actual proportion is 43%. Use = 0.01. (Round phat to 2 decimal places.)
1. H0:
Ha:
2. =0.01
3. Test statistic (z):
4. P-value or critical z0:
5. Rejection Region:
6. Decision:
7. Interpretation:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Metro Bank claims that the mean wait time for a teller during peak hours is less than 4 minutes. A random sample of 20 wait times has a mean of 2.6 minutes with a sample standard deviation of 2.1 minutes. Assume the distribution is normally distributed.
a. Use the critical t0 value method to test Metro Bank's claim that the mean wait time is less than 4 minutes. Test the claim at the level of significance = 0.05.
1.
H0: u >= 4
Ha: u < 4 (claim)
---------------------
2. alpha = 0.05
---
3. Test statistic(t):
t(2.6) = (2.6-4)/[2.1/sqrt(20)] = -2.9814
----------------
4. Critical to: invT(0.05 when df = 19) = -1.7291
----
5. Rejection Region: t < -1.7291
------
6. Decision: reject Ho
------
7. Interpretation:
The test results support the claim.
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. Use the critical t0 value method to test Metro Bank's claim that the mean wait time is less than 4 minutes. Test the claim at the level of significance = 0.01
1.
H0: same
Ha: same
2. alpha = 0.01
3. Test statistic(t): same = -2.9814
4. Critical to: invT(0.01 when df = 19) = -2.8609
5. Rejection Region: t < -2.8609
6. Decision: fail to reject Ho
7. Interpretation: The test results do not support the claim
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In a recent poll, it was found that 43% of registered U.S. voters would vote for the incumbent president. If 100 registered voters were sampled randomly, it was found that 35% would vote for the incumbent. Test the claim that the actual proportion is 43%. Use = 0.01. (Round phat to 2 decimal places.)
1.
H0: p = 0.43 (claim)
Ha: p is not equal to 0.43
2. alpha =0.01
3. Test statistic (z):
z(0.35) = (0.35-0.43)/sqrt[0.43*0.57/100] = -1.6159
-------
4. P-value = 2*P(z < -1.6159) = 0.1061
-------
5. Rejection Region: +/-P(z < 0.005) = +/-2.5758
Reject region z < -2.5758 or z > +2.5758
----
6. Decision:
Since the p-value is greater than 1% fail to reject Ho.
----
7. Interpretation:
Test results support the claim.
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Cheers,
Stan H.
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