The driving distance between Manchester and london is 195 miles. Fairs intends to travel from Manchester to London by coach. The
coach will leave Manchester at 3:30pm. Faris assumes that the coach will travel at an average speed of 50mph. Using his assumption work out faris's arrival time in London. It actually turns out that the coach has a lower average speed describe how this affects the arrival time.
1 answer:
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Answer:
a) Null hypothesis:
Alternative hypothesis:
This hypothesis test is a left tailed test.
b)
The p value for this case can be calculated with this probability:
We can conduct the test with the Ti84 using the following steps:
STAT>TESTS>T-test>Stats
We input the value and for the alternative we select
. Then press Calculate.
And we got the same results.
Step-by-step explanation:
Information given
represent the sample mean
represent the population standard deviation
sample size
represent the value to test
represent the significance level for the hypothesis test.
t would represent the statistic
represent the p value for the test
Part a) System of hypothesis
We want to test if the true mean is less than 3, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
This hypothesis test is a left tailed test.
Part b
The statistic is given by:
(1)
Replacing the info given we got:
The p value for this case can be calculated with this probability:
We can conduct the test with the Ti84 using the following steps:
STAT>TESTS>T-test>Stats
We input the value and for the alternative we select
. Then press Calculate.
And we got the same results.