A nutritionist wants to determine if a new diet plan leads to weight loss. The weights in kilograms of six participants before and after following the diet for a month are as follows.

At the $0.05$ significance level, test the claim that the mean weight after the diet is less than before. Assume the paired differences are approximately normally distributed.

There is insufficient evidence to support the claim that the mean weight after the diet is less than before.

There is sufficient evidence to support the claim that the mean weight after the diet is less than before.

There is insufficient evidence to warrant rejection of the claim that the mean weights before and after the diet are equal.

There is sufficient evidence to warrant rejection of the claim that the mean weights before and after the diet are equal.