The amount of water consumed per week by Montana residences is normally distributed with an unknown mean and a standard deviation of 10 gallons. A simple random sample of ten residences has a mean value of x = 120:3 gallons. The city of Bozeman claim that the average water consumed in the state of Montana is not 125 gallons. Draw a picture of the distribution that the sample mean would have if the null hypothesis were true. Mark where the observed
sample mean of 1.21 g/mi falls on the horizontal axis, and shade
the p-value for this hypothesis test. Label the axes. Mark the
horizontal scale in both natural and standardized units.