(1)The file 'MeatSelenium.csv' contains the selenium levels (mcg/100g) of a sample of 144 portions of beef raised in a particular region. The selenium levels are in the variable 'selen'. Let denote the average selenium level (mcg/100g) of all beef raised in this region. The minimum recommended daily intake for adults is 55 mcg. You will test whether a 100g serving of this meat exceeds the minimum recommended daily intake for adults. Use = 0.05.

(a)Always begin data analysis with an appropriate plot of the data. Start with a boxplot of the beef portion selenium levels. Include the plot here. Comment on what you see.

(b)It's also a good idea to produce summary statistics of your data. Calculate the sample mean and sample variance for each gender. Include the output here. (c) Now for the hypothesis test - what are the null and alternative hypotheses?

(d)Which test will you use, the t-test or z-test? What are the assumptions behind the test? Are they satisfied?

(e)Run the test and paste the output here.

(f)What conclusion do you reach? State the reasoning behind your conclusion and interpret your conclusion.

(g)Calculate a 95% confidence interval for = denote the average selenium level (mcg/100g) of all beef raised in this region. Interpret the confidence interval - how does it elaborate upon the conclusion from the hypothesis test above?