In countries with a water shortage, converting salt water to potable water is big business. The standard method of water distillation is with a single-slope solar still. Several enhanced solar energy water distillation systems were investigated in Applied Solar Energy (Vol. 46, 2010). One new system employs a sun-tracking meter and a step-wise basin. The new system was tested over 3 randomly selected days at a location in Amman, Jordan. The daily amounts of distilled water collected by the new system over the 3 days were 5.07, 5.45, and 5.21 liters per square meter (l/m2). Suppose it is known that the mean daily amount of distilled water collected by the standard method at the same location in Jordan is μ = 1.4 l/m2.
a. Set up the null and alternative hypotheses for determining whether the mean daily amount of distilledwater collected by the new system is greater than 1.4.
b. For this test, give a practical interpretation of the value α = .10.
c. Find the mean and standard deviation of the distilled water amounts for the sample of 3 days.
d. Use the information from part c to calculate the test statistic.
e. Find the observed significance level (p-value) of the test.
f. State, practically, the appropriate conclusion.