PLEASE ANSWER ALL QUESTIONS!!!

1. Mary is determining the maximum quantity given the seasonality is constant. If the coefficients are 112t and 23.4502t2 in a quadratic model, what is the maximum quantity that can be reached? a)1,313 b)135 c)4,780 d)2,626

2. According to the United States Census Bureau, the average single-family home constructed in 2016 was 2,438 square feet. Carmen wondered if families in her area still want a smaller home in comparison to the average. She randomly selected 45 people and asked what the ideal square footage of a home is for them. From the responses, she calculated the sample mean equals 1,550 square feet with a sample standard deviation of 54 square feet. Calculate the value of the test statistic.

a)-2.45

b)-1.32

c)1.32

d)2.31