Group Project – Math
Being the network administrator, the download rates from various locations have been measured on the company website. The respective company has switched recently to the expensive internet provider that claims that download rates will be improved. The task is to ensure that the new service is faster than the previous one. To complete this task, the mean download rate of the network as mentioned above has provided, i.e., 115 Mbps and downloading ratings at various locations has been presented that can be seen in the following table:
Table 1: Downloading ratings at various locations
The following table represents the summary statistics for the above data, and it can be seen in the table that the total number of values is 50, while there is no missing value in the data. The mean value is 129.9368, which is greater than the mean value of the previous downloading rate of 115 Mbps. The minimum amount in the data is 34.5, while the maximum amount is 210.45. The Sum of all values is 6496.84. The standard error of mean and standard error of deviation is 5.57571 and 39.42623, respectively. The rest of the statistics can be observed in the following table:
Table 2: Summary Statistics
Moreover, the following table represents the frequency, percent, good percent, and cumulative percent.
Table 3: Frequency and Percentage
The graphical representation of the statistical description can be observed in the following histogram figure:
Figure 1: Graphical Summary Statistics
Using the 95% level of significance, the following hypothesis is conducted to determine whether the claims of manufacture are valid or not:
H0 : µ = 0
H1: µ ≠ 0
The following two tables show the result of one sample t-test:
Table 4: One-sample Statistics
Table 5: One-Sample Test
Moving from left to right, the data is given with the observed t-value, i.e., 23.125, the degree of freedom, i.e., 49, and the p-value or statistical significance. We can see that the value of p is the value of is the value of is less than 0.05, i.e., 0.000. Hence, it is concluded that the claims of manufacture are valid as the null hypothesis cannot be rejected in favor of the alternate view. The downloading rates of the new connection will be improved.
It is suggested, based on the results, to adopt the new connection as the measured mean download rate of a new relationship from various locations on the company website is better than the previous link's mean download rate. Furthermore, the hypothesis test has proved that the manufacturer's claims are valid that the download rates will be improved. So the company should move on with the new internet connection.