1.

$278 $136 $333 $187 $238 $78 $288 $355 $5 $0 $197

$178 $111 $222 $325 $412 $55 $95 $478 $615 $255

population variance = 14400, n=21 ,bar(x)=230.5

(a) concerns about the validity of the value of the population variance, repeat the above three(85%,93%,98%) predictions using instead only the data. Also, produce MINITAB output for creating these intervals.

(b)a margin of error that is greater than 25. Assuming that the population variance is 14400, what sample size would they need to collect to guarantee this margin of error for the provided confidences (three answers).

(c)predict the population mean using a sample mean and sample variance with 80% confidence. Assume they know the sample variance will be 81 regardless of the data. If they want a margin of error or no more than 3 what sample size should they collect.