Question: The amount of soft drink filled by a machine at a bottling company is supposed to have an average of 12 fluid ounces and a standard deviation of 0.5 fluid ounces if the machine is calibrated accurately. The quality control manager has collected data on 250 bottles of soda that have come off a production line on a randomly selected day. He wants to find out if the amount of soft drink filled can be represented by a normal distribution with the average of 12 fluid ounces and the standard deviation of 0.5 fluid ounces. The results are as follow:

Referring to the table above, what is the expected frequency for the amount of soft drink filled between 11.5 and under 12.0 fluid ounces?

What is the value of the chi-square test statistic?

hat are the degrees of freedom?

What’s your conclusion at a 5% level of significance?