Question 7
Yasmin pays for high-speed internet service. She notices that her connection seems slower than usual one evening, and she
thinks, "I wonder if there is a difference between my internet speed based on time of day. It seems like the internet speed
during daytime is different than the speed in the evening." She measures her internet connection speed (in Mbps) in 10
randomly chosen locations in her house, both during the evening and during daytime, and the results are shown in the
table below. Test Yasmin's claim that the internet speed during the evening is different than the internet speed during
daytime. Use a significance level of 0.05. Assume the differences are normally distributed.
Daytime
95
81
12
85
84
75
79
12
30
93
Evening
105
103
71
104
103
81
60
95
52
104
Choose the correct set of hypotheses for Yasmin's claim.
$H_0: \mu_d = 0$ (claim)
$H_1: \mu_d \neq 0$
$H_0: \mu_d = 0$
$H_1: \mu_d \neq 0$ (claim)
$H_0: \mu_d \neq 0$
$H_1: \mu_d = 0$ (claim)
$H_0: \mu_d \neq 0$ (claim)
$H_1: \mu_d = 0$
