SOLUTION: The Metropolitan Bus Company claims that the mean waiting time for a bus during rush hour is less than 8 minutes. A random sample of 20 waiting times has a sample mean of 6.5 minu

Question 932762: The Metropolitan Bus Company claims that the mean waiting time for a bus during rush hour is less than 8 minutes. A random sample of 20 waiting times has a sample mean of 6.5 minutes with a sample standard deviation of 2.1 minutes. At α = 0.01, test the bus company's claim. Assume the distribution is normally distributed.
a) Test type: 1 sample proportion 1 sample z-Test 1 sample t-Test
2 sample proportion 2 sample t-Test paired t-Test

b) Hypotheses: : claim

: claim

c) Critical value: α = t z critical = ___ ______

Test statistic: p-value = t z statistic = _____ ____

d) Determination: p-value < > α, so reject fail to reject

e) Conclusion: There is sufficient insufficient evidence at the α = level
to support reject the claim of...
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Ho: u < 8 (claim)
.........
α = 0.01 , z-crtical = -2.3563
.......
sample of 20 waiting times has a sample mean of 6.5 minutes with a sample standard deviation of 2.1 minutes
test stat: z(6.5) = -1.5/(2.1/sqrt(20)) = -3.194
p-value = P(z < -3.194) = .007
.007 < .01
reject claim

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