A university athletic coach claims student athletes should dedicate a minimum of 10 hours per week to studying. University reports show student athletes average 4.39 hours per week. Analyze the data to determine if the difference is statistically significant.
A local school superintendent argues union bus drivers are being underpaid. The claimed average hourly wage is $17.00; a sample of 81 drivers revealed an average wage of $14.09. Assuming the data are normally distributed, test whether the true hourly wage is less than $17.00.
A local school system uses a machine to fill cans of juice. The machine is supposed to dispense an average of 20 ounces per can with a standard deviation of 0.5 ounces. The floor supervisor suspects the machine is overfilling. Test whether the true average amount dispensed is greater than 20 ounces, assuming normality.