An article reported that the typical person spends one hour (60 minutes) per day accessing the Internet through a mobile device. A student wonders if males and females spend differing amounts of time per day accessing the Internet through a mobile device. The student selects a sample of 60 of friends and family (30 males and 30 females) and collects data about the time spent per day accessing the Internet through a mobile device (in minutes). The accompanying table contains these data. Complete parts (a) below.
a. Using a 0.10 level of significance, is there evidence of a difference in the variances of time spent per day accessing the Internet on mobile devices between males and females?
Determine the hypotheses, where $\sigma_f^2$ is the population variance of the time spent per day accessing the Internet on mobile devices for females and $\sigma_m^2$ is the population variance of the time spent per day accessing the Internet on mobile devices for males. Choose the correct answer below.
$\circ$ A. $H_0: \sigma_f^2 = \sigma_m^2; H_1: \sigma_f^2 > \sigma_m^2$
$\circ$ B. $H_0: \sigma_f^2 \ge \sigma_m^2; H_1: \sigma_f^2 < \sigma_m^2$
$\circ$ C. $H_0: \sigma_f^2 = \sigma_m^2; H_1: \sigma_f^2 \ne \sigma_m^2$
$\circ$ D. $H_0: \sigma_f^2 \le \sigma_m^2; H_1: \sigma_f^2 = \sigma_m^2$
Compute the $F_{STAT}$ test statistic.
$F_{STAT} = ?$
(Round to three decimal places as needed.)
Determine the $p$-value.
The $p$-value is $?$.
(Round to three decimal places as needed.)
State the conclusion.
$H_0$. There is $?$ evidence to support the claim that the variability of the time spent per day accessing the Internet on mobile devices between males and females are different.
