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A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken a statistical methods course that involved significant computer interaction. Group 2 had taken a statistic methods course that did not use computers. The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 16 nursing students from Group 1 resulted in a mean score of 41.4 with a standard deviation of 5.3. A random sample of 12 nursing students from Group 2 resulted in a mean score of 48.6 with a standard deviation of 3.5. Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2? Let μ1 represent the mean score for Group 1 and μ2 represent the mean score for Group 2. Use a significance level of α=0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed.
1. State the null and alternative hypothesis for the test
2. Compute the value of the t statistic (round to three decimals)
3. Determine the decision rule for rejecting the null hypothesis H0 (round to three decimals)
4. State the tests conclusion reject or fail to reject
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