A company is researching the effectiveness of a new website
design to decrease the time to access a website. Five website users
were randomly selected, and their times (in seconds) to access the
website with the old and new designs were recorded. To compare the
times, they computed new website design time − old website design
time. The company wishes to test its hypothesis at the 0.01 level
of significance. The results are shown here.
User
Old Website Design
New Website Design
A
26
23
B
49
30
C
25
23
D
30
28
E
33
24
What is the value of the test statistic?
Multiple Choice
2.140
1.779
3.631
2.331
A district sales manager wishes to determine whether there is a
difference in mean daily sales volume between two stores in his
district. He collects daily sales volume for the month of June to
do the analysis. Assume that the population standard deviations are
unknown and unequal. The hypothesis test is to be conducted using
the 0.01 level of significance. Partial output of his results from
Excel can be found in the table below:
Store 1
Store 2
Sample size (n)
46
46
Sample mean daily sales volume (in $1,000)
31
35
Sample standard deviation (in $1,000)
5.2
6.1
Degrees of freedom
90
What is the value of the test statistic?
Multiple Choice
−3.385
+1.308
± 3.319
−3.047