At Six Different Randomly Chosen Times, a Researcher Measures the Temperature

Essay

At six different randomly chosen times, a researcher measures the temperature (in degrees Fahrenheit) of a pint of milk from a supermarket's shelf. The measurements are shown below. $\begin{array} { l l l l l l } 36 & 38 & 39 & 39 & 41 & 43 \end{array}$
a. Suppose the researcher is interested in determining whether the median temperature exceeds $40 ^ { \circ } \mathrm { F }$ . Set up the null and alternative hypotheses of interest.
b. How many of the measurements exceed $40 ^ { \circ } \mathrm { F }$ ?
c. Assuming that $p = .5$ , find the binomial probability that at least two measurements exceed $40 ^ { \circ } \mathrm { F }$ .
d. What do you conclude about $H _ { 0 }$ and $H _ { a }$ ?