The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.40 liters. A sample of 10 adults after the campaign shows the following consumption in liters: 1.42 1.74 1.68 1.58 1.62 1.76 1.30 1.56 1.50 1.52 At the .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 .025 significance level. (Round your answer to 3 decimal places.)
(c) Compute the value of the test statistic. (Round the value of standard deviation and final answer to 3 decimal places.)