The hypothesis test, with a test statistic of 2.78 and a p-value of 0.008, rejects the null hypothesis. There is evidence that the mean strontium-90 from city #1 exceeds city #2.
The conclusion drawn from the two-tailed independent samples t-test is as follows:
The test aimed to ascertain if the mean amount of strontium-90 from city #1 residents is greater than that from city #2 residents. The null hypothesis
stated that the mean of city #1
is less than or equal to the mean of city #2
, while the alternative hypothesis
posited that
is greater than
The calculated test statistic (t was 2.78, obtained using sample means, variances, and sizes from both cities. The corresponding p-value, found to be 0.008 for 28 degrees of freedom, was compared to the significance level of 0.05.
As the p-value (0.008) is less than 0.05, the null hypothesis is rejected. Thus, there is sufficient evidence to support the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents.