Question

The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.4 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following consumption in liters: 1.5, 1.6, 1.5, 1.4, 1.9, 1.4, 1.3, 1.9, 1.8, 1.7. At the 0.01 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value.

Answer 1

Answering the student's question involves conducting a one-sample t-test to determine if the health campaign significantly increased daily water intake among adults, using the provided pre-campaign mean and sample data post-campaign.

Step-by-step explanation:

The question asks whether the campaign for increased water consumption has statistically increased the daily water intake among adults, using a sample post-campaign. To evaluate this, we can perform a one-sample t-test, since the sample size is small and the population standard deviation is unknown. Given a mean daily water consumption of 1.4 liters prior to the campaign and a sample of 10 adults' consumption after the campaign, we have the following data: 1.5, 1.6, 1.5, 1.4, 1.9, 1.4, 1.3, 1.9, 1.8, 1.7 liters.