if the probability of a train being on time is 0.24 and the probability of it being late is 0.66 what is the probability of it b
1 answer:
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Answer:
Original claim is
Opposite claim is
Null and alternative hypotheses:
Significance level: 0.01
Test statistic:
We can use TI-84 calculator to find the test statistic and P-value. The steps are as follows:
Press STAT and the scroll right to TESTS
Scroll down to 2-SampTTest... and scroll to stats.
Enter below information.
Pooled: Yes
Calculate.
The output is in the attachment.
Therefore, the test statistic is:
P-value: 0.4412
Reject or fail to reject: Fail to reject
Final Conclusion: Since the p-value is greater than the significance level, we, therefore, fail to reject the null hypothesis and conclude that the there is sufficient evidence to support the claim that the samples are from populations with the same mean.
Answer:
a) 0.5 = 50% of flanges exceed 1 millimeter.
b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
This means that
(a) Determine the proportion of flanges that exceeds 1.00 millimeters.
0.5 = 50% of flanges exceed 1 millimeter.
(b) What thickness is exceeded by 90% of the flanges?
This is x for which:
So
A thickness of 0.96 millimeters is exceeded by 90% of the flanges