The management of a company would like to compare the time (in hours per week) that workers in two departments spend on physical exercise. A summary of the available information is given in the table below.



Dept I 29(Sample Size) 1.41(Sample Mean) 0.79(Sample Standard Deviation)
Dept II 27(Sample Size) 2.00(Sample Mean) 0.64(Sample Standard Deviation)

A two-sample z-test is to be used to determine whether there is a difference, at the 5% significance level, between the mean time spent by Departments I and II. Choose the TWO options that give the
Magnitude of the test statistic z, to two decimal places, and the conclusion obtained from the test.


Options for Question
A 0.59
B 0.64
C 1.65
D 2.70
E 3.08
F 3.89
G There seems to be a significant difference, at the 5% significance level,
Between the mean times spent by Departments I and II.

H There seems to be no significant difference, at the 5% significance
Level, between the mean times spent by Departments I and II.