8.52

Determine the sample size necessary under the following conditions.

a)      To estimate µ with  = 44, E = 3, and 95% confidence

b)      To estimate µ with a range of values from 20 to 88 with E = 2 and 90% confidence

c)      To estimate p with p unknown, E = 0.04, and 98% confidence

d)     To estimate p with E = 0.03, 95% confidence, and p thought to be approximately 0.70

 

 

a) To estimate µ with  = 44, E = 3, and 95% confidence

95% è 4750

z = 1.96 from Table A.5

 

 

 

 

b) To estimate µ with a range of values from 20 to 88 with E = 2 and 90% confidence

 

z = 1.645 (From Table A.5; using 4500)

E = 2

 

 

 

The sample size is rounded up to 196.