Hypothesis test for one population meana researcher asks

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Hypothesis test for one population mean.

A researcher asks whether attending a private high school leads to higher or lower performance on a test of social skills when compared to students attending public schools. A sample of 100 students from a private school produces a mean score of 71.30. The population mean (m) for students from public high schools is 75.62. The population standard deviation is 28. Zobt is  -1.54. Zcrit is ± 1.96.

  • Should the researcher use a one-tailed or a two-tailed test? Why?
  • What is the alternative hypothesis?
  • What is the null hypothesis?
  • What should the researcher conclude about this relationship in the population?
  • Are the results significant? Explain your response.
  • What is the probability of making a Type I error?
  • If a Type I error were made, what would it mean?
  • What is the probability of making a Type II error?
  • If a Type II error were made, what would it mean?

Reference no: EM13357566

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