Question

Suppose a chef claims that her meatball weight is less than 3 ounces, on average. Several of her customers do not believe her, so the chef decides to do a hypothesis test, at a 1% significance level, to persuade them. She cooks 25 meatballs. The mean weight of the sample meatballs is 2 ounces. The chef knows from experience that the standard deviation for her meatball weight is 0.5 ounces.

• H0: 3; Ha: <3
• =0.01 (significance level)

What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

Provide your answer below: