Sample Means and Data Analysis Worksheet [TimeWeb]

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Sample means - under 18s unemployment

The questions below require the following table of data which represents ten samples for under-18s weekly working hours and their means (the data is taken from the Illustration section on sample means):

Sample 1: S-Mean = 6.25 hours
Sample 2: S-Mean = 6.50 hours
Sample 3: S-Mean = 6.00 hours
Sample 4: S-Mean = 7.75 hours
Sample 5: S-Mean = 4.50 hours
Sample 6: S-Mean = 8.00 hours
Sample 7: S-Mean = 3.50 hours
Sample 8: S-Mean = 9.25 hours
Sample 9: S-Mean = 4.75 hours
Sample 10:S-Mean = 6.50 hours

Q1. Use the mean and standard deviation data above to make a statement about the average working hours of the whole population of under-18s, at a 68% Confidence Interval.
(Select one answer)

(a)

We can be 68% certain that the average weekly hours worked by under-18s is more than 6.5 hours.

(b)

We can be 68% certain that the average weekly hours worked by under-18s is between 5.95 and 7.05 hours.

(c)

We are unable to make any statement.

Q2. Use the mean and standard deviation data above to make a statement about the average working hours of the whole population of under-18s, at a 95% Confidence Interval.
(Select one answer)

(a)

We can be 95% certain that the average weekly hours worked by under-18s is between 5.4 and 7.6 hours.

(b)

We can be 95% certain that the average weekly hours worked by under-18s is more than 6.5 hours.

(c)

We are unable to make any statement.

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