1. The brightness of a television tube can be evaluated by measuring the amount of current required to achieve a particular brightness level. A sample of 25 tubes results in š = 450.5 and s = 21.6. Find (in microamperes) a 99% confidence interval on the mean current required. 2. Two kinds of springs are compared for its elasticity. Forty pieces of each type of spring are tested under normal and similar conditions. Spring X had an average elasticity of 52.4 cm with a standard deviation of 3.1 cm, while spring X had an average elasticity of 62.8 cm with a standard deviation of 5.9 cm. Construct a 98% confidence interval for the difference of the population means. 3. A study of 40 bowlers showed that their average score was 180. The standard deviation of the population is 6. Find the 95% confidence interval of the mean score of all the bowlers. 4. A manufacturer of compact disks players uses a set of comprehensive tests to access the electrical components of one of its products. All compact disks must pass tests prior to being sold. A random sample of 500 disks players resulted in 485 failing in one or more tests. Find a 90% confidence interval for the proportion of compact disk players from the population that pass all tests. 5. The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 circuits is tested, revealing 13 defectives. Find a 95% confidence interval on the fraction of defective circuits produced by this particular tool.

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.