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

question 51

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 $H _ { a }$ ?

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Definitions:

Homosexuality

A sexual orientation characterized by a romantic or sexual attraction to individuals of the same sex.

Heterosexuality

is the sexual attraction or orientation toward individuals of the opposite sex.

Dr. Krafft-Ebing

A 19th-century Austrian psychiatrist and author known for his work in human sexuality, notably the book "Psychopathia Sexualis."

Slut Discourse

Discussions or dialogues that contribute to the stigmatization of individuals, typically women, based on their perceived sexual behavior or attire.