Id |
Subject |
Object |
Predicate |
Lexical cue |
T129 |
0-51 |
Sentence |
denotes |
Inferential t-statistic (Welch’s two-sample t test) |
T130 |
52-224 |
Sentence |
denotes |
In the present study, the significant impact of COVID-19 pandemic confinement on air quality in studied locations was determined by right-tailed, Welch’s two-sample t test. |
T131 |
225-402 |
Sentence |
denotes |
The complete data set was divided into two groups, pre-confinement (A) and during confinement (B) to assess if there is a statistically significant effect of confinement on AQI. |
T132 |
403-549 |
Sentence |
denotes |
Independent random samples of sizes n1, n2 were drawn by using a random number table from both the groups and applied t test using the R-software. |
T133 |
550-622 |
Sentence |
denotes |
This inferential statistic was used to test the following hypothesis:H0: |
T134 |
623-759 |
Sentence |
denotes |
No significant difference between the means of two groups i.e., no significant effect of COVID-19 pandemic confinement on AQI (μ1 = μ2). |
T135 |
760-763 |
Sentence |
denotes |
HA: |
T136 |
764-970 |
Sentence |
denotes |
Significant difference between the means of two groups i.e., air quality is significantly improved during COVID-19 pandemic confinement (μ1 > μ2), where μ1 and μ2 are the population means of the two groups. |
T137 |
971-1202 |
Sentence |
denotes |
From Table 2, we can observe that the t-statistic (5.91), which when compared with critical t value (1.67) at 5% level of significance (α), rejected the null hypothesis and confirmed the significant reduction in the AQI for site 1. |
T138 |
1203-1316 |
Sentence |
denotes |
The p value was also found to be very small, suggesting that the COVID-19 pandemic confinement reduced AQI (45%). |
T139 |
1317-1466 |
Sentence |
denotes |
The p value revealed it is “unlikely” that we would observe such an extreme test statistic t* in the direction of HA if the null hypothesis was true. |
T140 |
1467-1552 |
Sentence |
denotes |
Therefore, the initial assumption that the null hypothesis is true must be incorrect. |
T141 |
1553-1716 |
Sentence |
denotes |
That is, since the p value, 0.00000015, is very less than α = 0.05, we reject the null hypothesis H0 : μ1 = μ2 in favor of the alternative hypothesis HA : μ1 > μ2. |
T142 |
1717-1867 |
Sentence |
denotes |
However, if we lowered our willingness to make a type I error to α = 0.01 instead, the significant rejection of the null hypothesis is again observed. |
T143 |
1868-2004 |
Sentence |
denotes |
This is due to reduction in anthropogenic activities including fuel and coal burning, vehicular emissions, and manufacturing industries. |
T144 |
2005-2047 |
Sentence |
denotes |
Table 2 Welch’s two-sample t test analysis |
T145 |
2048-2075 |
Sentence |
denotes |
Site 1 Site 2 Site 3 Site 4 |
T146 |
2076-2147 |
Sentence |
denotes |
Sample A Sample B Sample A Sample B Sample A Sample B Sample A Sample B |
T147 |
2148-2204 |
Sentence |
denotes |
Mean 241.65 134.25 159.12 65.77 144.86 57.45 75.78 63.20 |
T148 |
2205-2241 |
Sentence |
denotes |
Observations 36 35 36 35 36 35 36 35 |
T149 |
2242-2278 |
Sentence |
denotes |
Hypothesized mean difference 0 0 0 0 |
T150 |
2279-2308 |
Sentence |
denotes |
Degree of freedom 62 38 40 42 |
T151 |
2309-2394 |
Sentence |
denotes |
95% confidence interval (71.05, 143.75) (69.45, 116.99) (63.14, 111.65) (1.09, 24.05) |
T152 |
2395-2426 |
Sentence |
denotes |
t-statistic 5.91 7.94 7.28 2.20 |
T153 |
2427-2486 |
Sentence |
denotes |
P (T ≤t) one-tail 0.00000015 0.0000000014 0.0000000074 0.03 |
T154 |
2487-2526 |
Sentence |
denotes |
t Critical one-tail 1.67 1.68 1.68 1.68 |
T155 |
2527-2804 |
Sentence |
denotes |
The same behavior can be observed from the data of Table 2 for 2nd, 3rd, and 4th studied locations where the much lowered p values exhibited the statistically significant effect of COVID-19 pandemic confinement in lowering the sample mean AQI by 58%, 60%, and 17% respectively. |