An outbreak of Salmonella-related illness was attributed to icecream produced at a certain factory. Scientists are interested toknow whether the mean level of Salmonella in the ice cream isgreater than 0.2 MPN/g. A random sample of 20 batches of ice creamwas selected and the level of Salmonella measured. The levels (inMPN/g) were:
0.593, 0.142, 0.329, 0.691, 0.231, 0.793, 0.519, 0.392, 0.418,0.219 0.684, 0.253, 0.439, 0.782, 0.333, 0.894, 0.623, 0.445,0.521, 0.544
a) (0.5 point) Read the data in R using a vector. Show yourcodes only but not the output.
b) (0.5 point) State the two hypotheses of interest.
c) (1 point) Is there evidence that the mean level of Salmonellain the icecream is greater than 0.2 MPN/g? Assume a Normaldistribution and use α =0.05. Show your codes and result/outputfrom R.
d) (1 point) Interpret your finding in (c).
