The article “Differences in Impact Performance of Bicycle Helmets During Oblique Impacts” (J. Biomech. Engr. 2018) describes an experiment in which 10 different bicycle helmet brands (4 of each brand, for 40 total helmets) were strapped onto a mannequin head and subjected to a frontal impact at 6.6m/s. At that speed, concussion without a helmet is extremely likely. The peak linear acceleration (PLA, in g) was measured in each test; values over 300 g are associated with a high risk of brain injury.

a. The sample mean PLAs for the 10 helmet brands are presented below; labels are abbreviations used in the article for the brand names.

Use these sample means to determine SSTr and MSTr.
b. The value SSE = 3900 is consistent with information provided in the article.

Construct an ANOVA table, and carry out a hypothesis test at the .01 significance level.

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BMIPS 141 GS 175 BSF 144 NW 147 BSP 122 SOO 117 CW 127 ST 142 GMIPS 148 SWE 129