Question

Express the alternative hypothesis in symbolic form. A professor claims that the mean amount of time​ (in hours) sophomores spent studying for the biostatistics final exam is more than that of freshmen. Assume that the two samples are independent. Let the freshmen be the first population and the sophomores be the second population.
A) H1: μ1 = μ2
B) H1: μ1 # μ2
C) H1: μ1 < μ2
D) H1: μ1 > μ2

Answer 1

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Let the $\mu_1$ be the mean amount of time first population ( freshmen) spent studying for the biostatistics final exam.

Let $\mu_2$ be the mean amount of time second population (sophomores) spent studying for the biostatistics final exam.

So, the hypothesis would be

$H_0:\mu_1=\mu_2$

Since, A professor claims that the mean amount of time​ (in hours) sophomores spent studying for the biostatistics final exam is more than that of freshmen.

So, alternate hypothesis becomes:

$H_a:\mu_1>\mu_2$

Hence, Option 'D' is correct.