Question
ry Brothers Heating and Air Conditioning Inc. employs Larry and George to make service calls to repair furnaces and air conditioning units in homes. Tom,
ry Brothers Heating and Air Conditioning Inc. employs Larry and George to make service calls to repair furnaces and air conditioning units in homes. Tom, the owner, would like to know whether there is a difference in the mean number of service calls they make per day. A random sample of 45 days last year showed that Larry made an average of 6.12 calls per day. For a sample of 50 days, George made an average of 5.77 calls per day. The sample standard deviation for Larry is 1.05 calls per day, and for George it is 1.23 calls per day. At the 0.05 significance level, is there a difference in the mean number of calls per day between the two employees?
a) State your null and alternate hypothesis:
Ho:
H1:
b) Determine the critical value(s):
c) Calculate the test statistic. Round final answer to 2 decimal places.
d) Based on the above information, which of the below conclusions can you draw? State the number here: ()
(1) Do not reject the null hypothesis. There is no significant difference in the mean number of calls between Larry and George.
(2) Reject the null hypothesis. There is a significant difference in the mean number of calls between Larry and George.
(3) Reject the null hypothesis. Larry on average makes significantly more calls per day compared to George.
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