Answer:
We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is:

Step-by-step explanation:
Notation
represent the sample mean
represent the standard deviation for the population
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is:

275-100=175 (amount of bonus) 175÷5 (amount per bonus)= 35 total sales
Answer:
A Maximum of 60 Pieces of Fried Chicken
Step-by-step explanation:
32 pieces ÷ 25 guests = 1.28 pieces per guest.
Therefore, 1.28 pieces per guest × 45 guests = 57.6 pieces of Fried Chicken should be ordered. (60 Pieces instead, for accuracy)