The average final exam score for the statistics course is 75%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 100, 63, 94, 97, 78, 81, 78, 82, 90, 82, 90, 81 What can be concluded at the the αα = 0.01 level of significance level of significance? The null and alternative hypotheses would be: H0: the mean is <,>,=, or not equal to also provide the number__?__ H 1: the mean is <,>,=, or not equal to also provide the number __?__ The test statistic t = __?__ (please show your answer to 3 decimal places.) 2. The p-value = __?__ (Please show your answer to 4 decimal places.)
The average final exam score for the statistics course is 75%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal.
100, 63, 94, 97, 78, 81, 78, 82, 90, 82, 90, 81
What can be concluded at the the αα = 0.01 level of significance level of significance?
The null and alternative hypotheses would be:
H0: the mean is <,>,=, or not equal to also provide the number__?__
H 1: the mean is <,>,=, or not equal to also provide the number __?__
The test statistic t = __?__ (please show your answer to 3 decimal places.)
2. The p-value = __?__ (Please show your answer to 4 decimal places.)
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