The breaking strength of cables type A is known to follow a normal distribution. A random sample of ten cables is tested resulting in the following yields: 250 225 190 188 210 210 198 230 233 231 Construct a 98% confidence interval on the true average breaking strength. i.

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The breaking strength of cables type A is known to follow a normal distribution. A random sample
of ten cables is tested resulting in the following yields:
250 225 190 188 210 210 198 230 233 231
Construct a 98% confidence interval on the true average breaking strength.
i.
ii.
Construct a 95% confidence interval on the true variance breaking strength.
iii.
A random sample of 12 cables type B were tested and gave a mean breaking strength of
231.3 with a standard deviation of 21.6805. Construct a 90% confidence interval on the ratio
of variances of the breaking strength of type B and type A.
Transcribed Image Text:The breaking strength of cables type A is known to follow a normal distribution. A random sample of ten cables is tested resulting in the following yields: 250 225 190 188 210 210 198 230 233 231 Construct a 98% confidence interval on the true average breaking strength. i. ii. Construct a 95% confidence interval on the true variance breaking strength. iii. A random sample of 12 cables type B were tested and gave a mean breaking strength of 231.3 with a standard deviation of 21.6805. Construct a 90% confidence interval on the ratio of variances of the breaking strength of type B and type A.
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