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Bonus Question 3. A random sample of 16 fourth-grade students who are in a special reading program took a standardized exam on reading. Their mean
Bonus Question 3. A random sample of 16 fourth-grade students who are in a special reading program took a standardized exam on reading. Their mean score was 8.00 with a standard deviation of 1.80. The mean score of all fourth-grade students in the nation is 6.80. We would like to decide whether we can conclude that the population of students in the special reading program have a mean reading score that is different from 6.80 (i.e., Ho: / = 6.8). 1) Calculate the estimated standard error of the mean 2) Calculate the t-statistic 3) Degrees of freedom 4) The critical values for t at the .05 significance level (two-tailed) 5) The critical values for t at the .01 significance level (two-tailed) 6) Should the null hypotheses be rejected at .05? 7) Should the null hypotheses be rejected at .01? 8) Construct the .95 confidence interval for / I 9) Construct the .99 confidence interval for u 10) Are the results of the .95 and .99 confidence intervals consistent in terms of the population point estimate (i.e., / = 6.8)
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