Repeated Sampling Practice

Example 1

8 pumpkins with weight: 11kg, 13kg, 15kg, 18kg, 12kg, 14kg, 10kg, 16kg masses are normally distributed with a mean of 14.2kg and a standard deviation of 2.5. determine a 90% confidence interval for the sample mean

Solution

$\mu =13.625$ $z=1.645$ ${\sigma }_{\overline{x}}=\frac{\sigma }{\sqrt{n}}$ ${\sigma }_{\overline{x}}=0.88$ $E=z{\sigma }_{\overline{x}}$ = $1.4476$ interval is: $13.625\pm 1.4476$ $12.1774<p<15.0726$