Statistics II20775 marksNumerical: confidence interval meanEstimation
A machine produce metal rods used in an automobile suspension system. A random sample of 6 rods is selected and diameter is measured. The measuring data (in millimeters) are as follows. Assuming that the sample drawn from the normally distributed population. Find 95% two sided confidence interval on
A machine produce metal rods used in an automobile suspension system. A random sample of 6 rods is selected and diameter is measured. The measuring data (in millimeters) are as follows. Assuming that the sample drawn from the normally distributed population. Find 95% two sided confidence interval on the mean rod diameter, and interpret the result with reference to the given problem.
| 8.24 | 8.26 | 8.20 | 8.28 | 8.21 | 8.23 |
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- Sample size: $n = 6$ - Data (mm): $8.24, 8.26, 8.20, 8.28, 8.21, 8.23$ - Population: normally distributed - Population standard deviation $\sigma$: unknown - Confidence level: $95%$, so $\alpha = 0.05$ Since $\sigma$ is unknown and $n$ is small, use the t-distribution with $n-1 = 5$ degrees of...