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Grades on a standardized test are known to have a mean of 1,000 for students in the Delhi. 453
randomly selected Delhi students take the test, yielding sample mean of 1,013 and sample standard
deviation (s) of 108.
<h3>What is Confidence Interval ?</h3>It is given by
Confidence Interval for 95% confidence Interval is given by
(a) Construct a 95% confidence interval for the mean test score for Delhi students.
The confidence interval is given by
1013 ± 5.07
so the interval is [1003.06,1022.94]
(b)Yes, since the null of no difference is rejected at the 5% significance level (interval excludes Delhi sample mean of 1,013)
(c) Another 503 Delhi students are randomly selected to take a 3-hour prep course and then give the test. Their average score is 1,019 with a standard deviation of 95.
The standard deviation now is
= 6.61
The interval is given by
= [-7,+19]
(d) No, the interval includes 0, the null difference between the two populations
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