The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.56 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:
1.88 1.74 1.98 1.70 1.86 1.72 1.74 1.98 1.68 1.50
At the 0.025 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value.
a. State the null hypothesis and the alternate hypothesis. (Round your answers to 2 decimal places.)
b. State the decision rule for 0.025 significance level. (Round your answer to 3 decimal places.)
c. Compute the value of the test statistic. (Round your intermediate and final answer to 3 decimal places.)
d. At the 0.025 level, can we conclude that water consumption has increased?
e. Estimate the p-value.
