A health survey determined the mean weight of a sample of 762 men between the ages of 26 and 31 to be 173 pounds, while the mean weight of a sample of 1,561 men between the ages of 67 and 72 was 162 pounds. The difference between the mean weights is significant at the 0.05 level.

Determine the meaning of this significance level.

The difference in weights compared over the two different groups is significant and at 0.05 level of significance, the age of men is directly linked with their mean weight.

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ps2952203 ps2952203 · Answer 2 · 2024-12-02T22:43:28-05:00

Final answer:

The significance level of 0.05 means that there is a 5% chance that the difference in mean weights of the two samples occurred by chance alone.

Explanation:

The significance level of 0.05 means that there is a 5% chance that the difference in mean weights of the two samples occurred by chance alone. In other words, if the true mean difference in weights between the two groups is zero, there is only a 5% chance of obtaining a difference as extreme as the one observed in the sample. This level of significance is commonly used in hypothesis testing to determine if there is enough evidence to reject the null hypothesis and conclude that there is a true difference between the populations being compared.