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In a survey, 25 men were asked if they drank the recommended 8 cups of water daily. The sample mean was 7.4 cups, and the sample standard deviation was 0.6 cups. Using a 5% level of significance, to test the claim that men drink less than the recommended amount of water?

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Final answer:

The test results indicate that there is sufficient evidence to support the claim that men drink less than the recommended 8 cups of water daily.

Explanation:

With a sample mean of 7.4 cups and a sample standard deviation of 0.6 cups among 25 men surveyed, we can employ a one-sample t-test to examine whether the mean consumption differs significantly from the recommended amount of 8 cups. Setting a 5% level of significance, we calculate the t-statistic using the sample data and degrees of freedom (n-1), yielding a t-value.

By comparing this value to the critical t-value from the t-distribution table, we find that the calculated t-value exceeds the critical t-value. Consequently, we reject the null hypothesis, concluding that men, on average, drink less than the recommended 8 cups of water daily.

The rejection of the null hypothesis signifies that the sample mean of 7.4 cups is significantly lower than the recommended amount, providing statistical evidence to support the claim that men do not meet the suggested water intake.

This outcome emphasizes the need for increased awareness and encouragement regarding adequate hydration among men. The findings suggest the importance of promoting healthier drinking habits to ensure individuals meet their daily water intake requirements.

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