The technology committee at a college has stated that the average time spent by

Question

The technology committee at a college has stated that the average time spent by students per lab visit has increased, and the increase supports the need for increased lab fees. To substantiate this claim, the committee randomly samples 12 student lab visits and notes the amount of time spent using the computer. The times are given in the accompanying table. Complete parts (a) and (b) below EEB Click the icon to view the table of lab times. a) Plot the data. Are any of the observations outliers? How does this affect inference? Choose the correct histogram below A. 160 160 160 80 Time (min.) 80 Time (min.) 80 Time (min.) Are any of the observations outliers? How does this affect inference? Choose the correct answer below. A. The histogram shows 2 extreme outliers, so with the outliers included, the conditions for inference are satisfied B. The histogram shows no extreme outliers, so the conditions for inference are violated C. The histogram shows 2 extreme outliers, so with the outliers included, the conditions for inference are violated D. The histogram shows no extreme outliers, so the conditions for inference are satisfied

Explanation / Answer

a)

Since the part b gives the mean to be 58,

Correct histogram is Option b

Option C

The histogram shows 2 outliers, so with the outliers included, the conditions for inference are violated.

b)

Datapoints are needed to determine the standard deviation including outliers and excluding outliers. Only then can we determine the 95% confidence interver.

95% Confidence Interval = Mean +/- 1.96* (Standard Deviation/Sample Size1/2)

Option C:

In either case, one would be reluctant to conclude that the new mean is above 58minutes. The sample size is small and the presence of two large outliers advises one to be cautious about conclusions from this sample.

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