A bottling commpany produces bottles that hold 10 ounces of liquid . Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 25 bottles and finds the average amount of liquid held by the bottles is 9.8 ounces with a standard deviation of .4 ounce. Which of the following is the set of the hypotheses the company wishes to test?

The set of hypotheses that the company wishes to test can be stated as follows:

Null hypothesis (H0): The average amount of liquid held by the bottles is equal to 10 ounces.
Alternate hypothesis (H1): The average amount of liquid held by the bottles is less than 10 ounces.

Symbolically, this can be written as:

H0: μ = 10
H1: μ < 10 (where μ represents the population mean amount of liquid held by the bottles)

To determine the set of hypotheses the company wishes to test, we need to identify the null hypothesis (H0) and the alternative hypothesis (Ha).

In this case, the null hypothesis (H0) would be that the bottles hold 10 ounces of liquid. The alternative hypothesis (Ha) would be that the bottles do not hold 10 ounces of liquid.

Therefore, the set of hypotheses the company wishes to test would be:

H0: The mean amount of liquid held by the bottles is 10 ounces.
Ha: The mean amount of liquid held by the bottles is not 10 ounces.

Hypotheses:

Ho: µ = 10 -->null hypothesis
Ha: µ < 10 -->alternate hypothesis