Summary Report on Statistics

The interpretation of the results obtained through hypothesis testing and confidence interval is presented below. It concludes that there is ample evidence to reflect certain conclusions based on the hypothesis test results. The mean starts for the current semester exceed 41.5 on average for each advisor, the proportion receiving online training is lower than 55%, the mean applications taken from those with no training is less than 155, and the mean time per call exceeds 15 minutes. The confidence intervals for each conclusion are also provided.

STATISTICS
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A. Summary Report
The interpretation of the results obtained through hypothesis testing and confidence interval is
presented below.
a) From the hypothesis test result, it can be concluded that there is ample evidence to reflect
that the mean starts for the current semester do exceed 41.5 on average for each advisor.
There is a 5% chance that the above conclusion may be false. Further, it can be stated with
95% confidence that the mean starts for the current semester per advisor would lie between
43.52 and 45.15. The above observation also supports the result of the hypothesis test since
the value 41.5 does not appear in the above interval.
b) From the hypothesis test result, it can be concluded that there is ample evidence to reflect
that the proportion receiving online training is lower than 55%. There is a 5% chance that the
above conclusion may be false. Further, it can be stated with 95% confidence that the mean
proportion of population receiving online training would lie between 34.27% and 53.73%.
The above observation also supports the result of the hypothesis test since the value 55%
does not appear in the above interval.
c) From the hypothesis test result, it can be concluded that there is ample evidence to reflect
that the mean applications taken from amongst those with no training would be less than 155.
There is a 5% chance that the above conclusion may be false. Further, it can be stated with
95% confidence that the mean applications selected from the population with no training is
estimated to fall between 68.12 and 74.83. The above observation also supports the result of
the hypothesis test since the value 155 does not appear in the above interval.
d) From the hypothesis test result, it can be concluded that there is ample evidence to reflect
that the mean time per call does exceed 15 minutes. There is a 5% chance that the above
conclusion may be false. Further, it can be stated with 95% confidence that mean time per
call is estimated to fall between 15.02 minutes and 16.06 minutes. The above observation
also supports the result of the hypothesis test since the value 15 does not appear in the above
interval.

B. Appendix
a) The requisite excel outputs are shown below.
Since one sided p value (0.00)< level of significance (0.05), hence null hypothesis is rejected and
alternative hypothesis is accepted.
b) The requisite excel outputs are shown below.

Since one sided p value (0.013) < level of significance (0.05), hence null hypothesis is rejected
and alternative hypothesis is accepted.
c) The requisite excel outputs are shown below.

Since one sided p value (0.00) < level of significance (0.05), hence null hypothesis is rejected
and alternative hypothesis is accepted.
d) The requisite excel outputs are shown below.

Since one sided p value (0.02) < level of significance (0.05), hence null hypothesis is rejected
and alternative hypothesis is accepted.