Answer:
a) For the Zoom meetings in March 2020 we are 95% certain that between 20.68 and 23.53 the mean is contained
b) For the face to face Zoom meetings in March 2020 we are 95% certain that between 17.67 and 20.93 the mean is contained
Explanation:
The confidence (c) = 95% = 0.95
The z score of 0.025 corresponds with the z sore of 0.475 (0.5 - 0.025). From the probability distribution table,
a) For the Zoom meetings in March 2020, The standard deviation (σ) = 7.1 and the mean μ = 22.1. Also the number of sample (n) = 96.
The margin of error (e) is given as:
therefore the Confidence interval = μ ± e = 22.1 ± 1.42 = (20.68, 23.52)
a) For the face to face Zoom meetings in March 2020, The standard deviation (σ) = 6.5 and the mean μ = 19.3. Also the number of sample (n) = 61.
The margin of error (e) is given as:
therefore the Confidence interval = μ ± e = 19.3 ± 1.63 = (17.67, 20.93)