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A science teacher claims that the mean scores on a science assessment test for fourth grade...

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Statistics

  1. A science teacher claims that the mean scores on a scienceassessment test for fourth grade boys and girls are equal. The meanscore for 63 randomly selected boys is 151 with a standarddeviation of 36, and the mean score for 65 randomly selected girlsis 149 with a standard deviation of 34. At α = 0.10, can you rejectthe teacher’s claim? Assume the populations are normallydistributed and the population variances are equal.
    Resource: Two Samples, Means, sigma known
  2. In a random sample of 1216 U.S. adults, 966 favor usingmandatory testing to assess how well schools are educatingstudents. In another random sample of 1202 U.S. adults taken 9years ago, 893 favored using mandatory testing to assess how wellschools are educating students. At α = 0.05, can you support theclaim that the proportion of U.S. adults who favor mandatorytesting to assess how well schools are educating students is morethan it was 9 years ago?

    Resource: Two Samples, Proportions

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