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01. Suppose we would like to estimate the mean amount of money (µ) spent on books by students in a semester. We have the following data from 9 randomly selected
students: mean= Rs.2490 and standard deviation = Rs.250. Assume that the amount
spent on books by students is normally distributed. Compute a 95% confidence for
population mean.
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Confidence Interval = 2473.67 to 2506.34
∴ Confidence Interval = 32.67
Confidence Interval Formula = Ф ± z* ×
where,
Ф = Mean
D = Standard Deviation
N = Sample Size
z* value = 95% confidence corresponding value.
Thus, substituting
Confidence Interval = 2490 ± 1.96 ×
= 2490 ± 16.34
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