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In: Math

graduate student wants to estimate the number of research participants he will see in the fall...

graduate student wants to estimate the number of research participants he will see in the fall semester. Using his data from the previous nine semesters, he tabulates a mean of 140 students per semester, although departmental records reflect a seasonal variation (i.e., population standard deviation) of 45 students. Calculate the 99% confidence interval.

Solutions

Expert Solution

Solution :

Given that,

= 140

= 45

n = 9

At 99% confidence level the z is ,

  = 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z/2 = Z0.005 = 2.576

Margin of error = E = Z/2* ( /n)

= 2.576 * (45 / 9)

= 38.64

At 99% confidence interval estimate of the population mean is,

- E < < + E

140 - 38.64 < < 140 + 38.64

101.36 < < 178.64

(101.36 , 178.64)

milcah answered 8 months ago
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