Question

One significant consequence of the COVID-19 situation is that
many meetings that formerly were held face-to-face are now held
virtually using something like Zoom or Skype. Suppose the first
population is all face-to-face meetings held in March 2020, the
second population is all Zoom meetings held in March 2020, and the
parameter of interest is μ_{1} – μ_{2} = the
difference in the mean length of all face-to-face meetings and the
mean length of all Zoom meetings. The meeting lengths are measured
in minutes. **For both face-to-face meetings and Zoom
meetings the distributions of meeting times are skewed heavily to
the right due to some meetings that are very long.** A
simple random sample of 83 face-to-face meetings held in March 2020
was selected, and the mean length of this sample of 83 meetings was
46 minutes with a standard deviation of 13.6 minutes. An
independent simple random sample of 81 Zoom meetings held in March
2020 was selected, and the mean length of this sample of 81
meetings was 51 minutes with a standard deviation of 11.6 minutes.
If appropriate, use this information to calculate and interpret a
90% confidence interval for the difference in the mean length of
all face-to-face meetings and the mean length of all Zoom
meetings.

Answer #1

Suppose the first population is all face-to-face meetings held
in March 2020, the second population is all Zoom meetings held in
March 2020, and the parameter of interest is μ1 – μ2 = the
difference in the mean length of all face-to-face meetings and the
mean length of all Zoom meetings. The meeting lengths are measured
in minutes. For both face-to-face meetings and Zoom meetings the
distributions of meeting times are skewed heavily to the right due
to some meetings...

Suppose the first population is all face-to-face meetings held
in March 2020, the second population is all Zoom meetings held in
March 2020, and the parameter of interest is μ1 –
μ2 = the difference in the mean length of all
face-to-face meetings and the mean length of all Zoom meetings. The
meeting lengths are measured in minutes. For both
face-to-face meetings and Zoom meetings the distributions of
meeting times are skewed heavily to the right due to some meetings...

Suppose the first population is all face-to-face meetings held
in March 2020, the second population is all Zoom meetings held in
March 2020, and the parameter of interest is μ1 – μ2 = the
difference in the mean length of all face-to-face meetings and the
mean length of all Zoom meetings. The meeting lengths are measured
in minutes. For both face-to-face meetings and Zoom meetings the
distributions of meeting times are skewed heavily to the right due
to some meetings...

Suppose the first population is all Zoom meetings held in March
2020, the second population is all face-to-face meetings held in
March 2020, and the parameter of interest is μ1 – μ2 = the
difference in the mean number of people attending all Zoom meetings
and the mean number of people attending all face-to-face meetings.
For both Zoom meetings and face-to-face meetings the distributions
are skewed heavily to the right due to some meetings that have many
people in attendance....

(a)The population is all VCU faculty, and of interest is to
compare the mean number of Zoom meetings they attended in March
2020 to the mean number of face-to-face meetings they attended in
March 2020. It is conjectured that the mean number of Zoom meetings
in March 2020 and the mean number of face-to-face meetings in March
2020 attended by all VCU faculty are the same, and of interest is
to test this conjecture versus the alternative that the two...

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