$3.$ Suppose, consider the situation of a manufacturer of soft drink products. The label on a soft

drink bottle states that it contains at$-$least $67\mathrm{.}6$ fluid ounces. However, from a sample of $125$

bottles, the mean amount of fluid found was $66$ ounces. Thus, the hunch is$,$ the soft drink

manufacturer is providing less than the standard amount stated above. Also, the sample

standard deviation found was $5.$ Conduct the hypothesis testing with a $1\%$ level of significance.