Week 4 Assignment Probability Terminology and Notation

The results of the study are significant at the 0.0001 level. This means that the probability of the outcome being the result of chance is 0.0001 or less. Because of this, we can be fairly confident, but not certain, that the concentration of lead is higher in drinking water from Minnesota.

The probability calculated is 0.21. Since this is greater than 0.05, the data are not statistically significant in showing that age has an association with the belief that a master’s degree or higher is advantageous in one’s career path.

Qn5.

The results are statistically significant at the 0.01 level. This means the probability that the data the farmer gathered were due to chance is 0.01 or less. Therefore, the farmer can be fairly confident that the mean mass of any apple grown in his orchard is different from 100g.

Qn6. The results of the survey are significant at the 0.01 level. This means that the probability of the data being the result of chance is 0.01 or less. Because of this, we can be fairly confident, but not certain, that the mean body temperature of humans is not 98.6∘F.

Qn7. An outcome is a specific result of an experiment. So the outcomes of this experiment are all the possible sequences of five die rolls.

So in this case, a particular sequence such as 1,1,2,1,6 is an outcome. So is rolling five 4's, because this is a specific outcome (4,4,4,4,4).

 Qn1. A recent study was conducted to determine the concentration of lead in drinking water across various states. 25 water samples from the state of Washington were tested; the mean lead concentration was found to be 0.15 . This compares to 32 water samples in the state of Minnesota where the mean was reported to be 0.21. The data was calculated to be significant at the 0.0001 level. Determine the meaning of this significance level.