Module #6 Assignment

 A.

a. The mean is 11.8

b. Randomly selected 14 and 10

c. The mean for the sample is 7. The standard deviation of the sample is 2.8284271247462 (or 2.83 to 3sf). 

d. In comparison, the mean is significantly different from the populations, in contrast to the standard deviation. The standard deviation for the population is  2.8565713714171 (or 2.86 to 3sf). The difference in the Sd is significantly less apparent between the sample and population than that of the means. 

B.

n=100

p=0.95

1.Yes, the population has a normal distribution due to its proximity to 1, which suggests a higher confidence in the probability the result is true.

2. As the value becomes further from 1, the chances of the correlation being statistically significant drastically decline. Anything below 0.80 should likely be retested or judged as untrustworthy in being verifiable evidence. Around 0.76 is where the cut-off for statisticians and mathematicians should attempt to use as proof in my opinion. 

B.ii.

A. 5

B. 100

C. pop= (xBar-µ)/(σ/(sqrt(n))

6.165939194 or 6.16 to 3sf.This suggests that the sample is very far off, and does not represent the entire population properly. This is likely due to the limited sample size and variance as a result. Despite the standard deviation being nearly unaffected, the other statistical qualities are negatively impacted by the small sample. 

I do not know which exercise is for the last question, I checked all three textbooks I bought/have access to and am confused on what this is referring to.