Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative hypothesis and state the final conclusion
that addresses the original claim. round the test statistic to two
decimal places and the p-value to four decimal places.
A public bus company official claims that the mean waiting time
for bus number 14 during peak hours is less than 10 minutes. Karen
took bus number 14 during peak hours on 18 different occasions. Her
mean waiting time was 7.3 minutes with a standard deviation of 1.5
minutes. At the 0.01 significance level, test the claim that the
mean of waiting time is less than 10 minutes. Use the P-Value
method of testing hypotheses.
Answer
The null hypothesis is
A. H0: N<10
B. H0: N=10
C. H0: N>10
, and the alternative hypothesis is
A. H1: N>10
B. H0: N<10
C. H1: N=10
The test statistic is t=
A. -2.18
B. 7.64
C. 2.18
D. -7.64
. The P-Value=
A. 1
B. 3.1416
C. 3.4157
D. 0
. The decision about the null hypothesis is to
A. Reject
B. Fail to Reject
the null hypothesis. The conclusion is: there is
A. Sufficient
B. Insufficient
evidence to support the claim that the mean waiting time is less
than 10 minutes.