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Assignment 8 Sta301 30 Fall 2016 Question 1
It is claimed that by using an automatic filling machine, the average amount of chips in
each bag is 100 grams. A random sample of 12 bags of chips showed a mean weight of
101.25 grams with a standard deviation of 2.5 grams. Is the machine operating properly
at 0.05 level of significance?
A random sample of size 400 is drawn from a normal population. The sample means and
standard deviation are 5.2 and 3.7 respectively.
(i) Estimate standard error of mean.
(ii) Test at 5% level of significance that population mean is not more than 5.
Investigating the success of its interviews, a firm finds that 176 out of 225 interviews
attempted by trained interviewers are successfully completed. 310 interviews attempted
by untrained interviewers, only 188 are successfully completed. Determine whether these
data provide sufficient evidence at the 5% level of significance to indicate a relationship
between the training status of interviewers and the outcome of interview attempted.
Note= USE SPSS SOFTWARE AND INTERPRET IT.
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