c) Are there statistically significant treatment effects? Give the value of the test d) ) g) h) statistic, the P-value, and your conclusion within the context of the problem. d) Is there statistically significant interaction between the factors under study? Give the value of the test statistic, the P-value, and your conclusion within the context of the problem. Is there a best combination of ground clutter and filter type? Support your answer statistically using the honest significant difference (HSD). Construct a 95% confidence interval for the difference in the mean intensities between the Low and High levels of ground clutter. Construct a 95% confidence interval for the difference in the mean intensities between the Low and High levels of ground clutter for filter Type 1. Estimate the efficiency of the randomized block design relative to the completely randomized design. Do you think blocking is useful in this experiment? (Hint: Blocking is useful if the efficiency is greater than 1; otherwise, blocking is not useful. The experimenter would like to be able to detect a difference in treatment population means of 2 standard deviations with Alpha = 0.05 and Beta = 0.10 . How many operators would the experimenter require if each operator experience each treatment once? The Federal Aviation Administration conducted an experiment on the ability to detect targets on a radar screen. Two factors were studied: the amount of background noise or "ground clutter" (levels of Low, Medium, and High) and the type of filter placed over the radar screen (Type 1 and Type 2). For each combination of ground clutter and filter type, a signal representing an aircraft was introduced and the intensity was increased until the radar operator was able to detect the signal. A lower intensity is desirable because it means the radar operator can detect a weaker signal. Different operators have different abilities to deledi signals, so operators contribute to variation in the intensity values. Six operators were selected in the study. Each of them experienced all six combinations of ground clutter and filter type. The order each operator experienced the six combinations was randomized. The 36 intensity values are given in the following table. Type 1 Type 2 Operator Low Medium High Low Medium High 1 94 101 79 101 106 112 91 106 105 108 97 95 72 100 110 90 91 104 75 91 3\\ Estimate the ground clutter effects, the filter type effects, the Interaction effects. and the treatment effects. bj Are there statistically algnificent factor effects? For each factor, give the value of the test statistic, the P-value, and your conclusion within the context of the