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Estimating the sample size for the population mean:

1. Sample size. We want to estimate the population mean within 5, with a 99% confidence level. The population std dev is estimated to be 15.  How large is the required sample size?

2. Refer to the wage data, which reports information on the annual wages for a  sample of 100 workers. Also included are variables relating to the industry, years of education, and gender for each worker.

a) Conduct a test of hypothesis to determine if the mean annual wage is greater then $30,000. Use the .05 significance level.  Determine the p-value and interpret the result.

b) Conduct a test of hypothesis to determine if the mean years of experience is different from 20. Use the .05 significance level.  Determine the p-value and interpret the result

c) Conduct a test of hypothesis to determine if the mean age is less then 40. Use the .05 significance level. Determine the p-value and interpret the result

d) Conduct a test of hypothesis to determine if the proportion of union workers is greater then 15%. Use the .05 significance level and report the p-value.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M9162584

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