MAT10251 Statistical Analysis Report

MAT10251 STATISTICAL ANALYSIS
PROJECT – PART B

Task 2 - Written Answer – Email or letter
5th February 2020
Managing Director,
National Broadband Network (NBN),
Dear Sir/Madam,
RE: REPORT ON INTERNET SPEED
I am writing to present to you the results of the study that sought to analyze the internet speed.
This report presents statistical analysis of internet speed data with an aim of answering critical
questions on internet speed. The analysis focusses on a 50 plan by National Broadband Network
(NBN). The plan gives a maximum download speed of 50 Mbps (megabits per second) and a
maximum upload speed of 20 Mbps. We ran inferential analysis to determine how the download
and upload speeds compares and relates.
The first question sought to estimate the population proportion of time that the download speed
is at least 40 Mbps. Results showed that 75% of the samples had download speed equal to or
more than 40 Mbps.
The second question sought to find out if on average the evening download speed exceeds the
advertised typical evening download speed of 41 Mbps.
The hypothesis to be tested as follows;
H0 : μ=41

H A : μ> 41
The results showed that the average speed download for the evening was 40.76 (SD = 4.66). The
p-value was found to be 1-0.362=0.638 (a value greater than 5% level of significance), we
therefore fail to reject the null hypothesis and conclude that the average evening download speed
does not exceed the advertised typical evening download speed of 41 Mbps.
The third question sought to investigate whether there is a difference in the average download
speed by the Speed Test 1 Download and Speed Test 2 Download. The hypothesis that we
sought to test is as follows;
H0 : μ1=μ2
H A : μ1 ≠ μ2
The results showed that the average download speed for test 1 was 41.33 (SD = 5.06) while the
average download speed for test 2 was 42.93 (SD = 4.75). The p-value was found to be 0.012 (a
value less than 5% level of significance), we therefore reject the null hypothesis and conclude
that the average Speed Test 1 Download and Speed Test 2 Download are statistically different.
The average Speed Test 1 Download was significantly less than the average Speed Test 2
Download.
The forth question sought to explore the relationship between download and upload speed use
Speed Test 1 Download as the independent variable with Speed Test 1 Upload as the dependent
variable for all 120 observations.
The estimated equation was estimated as follows;
Speed Test 1 Upload=−0.171+0.3088( Speed Test 2 Download)