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Unformatted text preview: Math 2040 exam 4 spring 2010 Name______________________________ SHOW YOUR WORK TO RECEIVE CREDIT 1 ) A statistical test was performed as follows: Ho: = 42 sample mean 40.4 = 4.8 n =16 Ha: < 42 Assuming the sample means are normally distributed: a) What is the p-value of the above test? _________ b) Interpret what this value means with respect to the above Ho. ____________________________________________________________________ ____________________________________________________________________ 2) A large city on the Atlantic coast sends treated sewage out to the ocean by means of pipe extending mile into the ocean. A marine ecological researcher studied the effect of the sewage on the sea-floor biomass of organisms for 8 different types ocean bottom near the pipe Sea-floor biomass (kg/m 2 ) Ocean bottom type 1 2 3 4 5 6 7 8 50 meters from pipe outflow 2.4 2.1 1.9 2.0 1.5 1.1 0.9 0.5 300 meters from pipe outflow 2.2 2.1 1.5 1.8 1.2 0.8 1.0 .4 Is this sufficient evidence at the 5% significance level that the biomass is larger at 50 meters from the pipe outflow compared to 300 meters? __________ 3) A group of archeologists want to test if the proportion of amphora jars having a polychrome style is less at a particular site level than the 20% at lower levels so they take sample of 32 amphora at that level and find 4 are of polychrome style. are of polychrome style....
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