Stats HW 9.docx

# B the value of the f test statistic is 2927 with a p

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b) The value of the F test statistic is 29.27, with a p-value of 0.00. We will reject the null hypothesis. c) If you look at the individual group means, the pattern becomes clear: the higher the level of education, the fewer number of hours spent watching television. 11. a) Dot plots for the n=11 samples at each of the labs.

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The dot plot from lab 4 has very small values, whereas the dot plots from Labs 2 and 5 appear to have data values on the high side. Lab 1 has only high and low values. b) Lab 4 has relatively small variability compared to the others. Lab 2 has the largest range, and the data are almost uniformly spread out. However, there doesn’t appear to be a violation of the condition of equal variances for the purpose of conducting an F-test. 12.a) The hypotheses in words and symbols are: H o = The mean char lengths are equal for all labs. H o = 1= 2= 3= 4= 5 H a = The means are not equal. H a = At least one difference. b) The value of the F test statistic is 4.53, with a p-value of 0.003. With a p-value less than 0.05, we will reject the null hypothesis and conclude that not all the population means are equal. c) Here is a rough sketch of the F-distribution, with the test statistic identified and the p-value of 0.003 shaded in. d) Labs 1 and 3 appear to not be different from any of the labs. Their confidence intervals share areas of overlap with all others. However, lab 2 is significantly different from lab 4; their CI don’t overlap at all. Similarly, Lab 4 is significantly different from Lab 5 for the same reason. 18.a) The hypotheses for this experiment are: H o = 1= 2= 3 H a = At least one difference. b) The first condition for conducting an analysis of variance is that we have independent random samples. This is verified in the description of the experiment.

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