At one school, the average amount of time tenth-graders spend watching television each week is 21.6 hours. the principal introduces a campaign to encourage the students to watch less television. one year later, the principal performs a significance test using α = 0.05 to determine whether the average amount of time spent watching television per week has decreased. the hypotheses are: h0: μ = 21.6 hours ha: μ < 21.6 hours if the p-value = 0.04 and a decision error is made, what type of error is it? explain.

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?

Tri fecta, a partnership, had revenues of $369,000 in its first year of operations. the partnership has not collected on $45,000 of its sales and still owes $39,500 on $155,000 of merchandise it purchased. there was no inventory on hand at the end of the year. the partnership paid $27,000 in salaries. the partners invested $48,000 in the business and $23,000 was borrowed on a five-year note. the partnership paid $2,070 in interest that was the amount owed for the year and paid $9,500 for a two-year insurance policy on the first day of business. compute net income for the first year for tri fecta.

As a result of a labeling mistake at the chemical factory, a farmer accidentally sprays weedkiller rather than fertilizer on half her land. as a result, she loses half of her productive farmland. if the property of diminishing returns applies to all factors of production, she should expect to seea. a decrease in the marginal productivity of her remaining land and an increase in the marginal productivity of her labor. b. an increase in the marginal productivity of her remaining land and an increase in the marginal productivity of her labor. c. an increase in the marginal productivity of her remaining land and a decrease in the marginal productivity of her labor. d. a decrease in the marginal productivity of her remaining land and a decrease in the marginal productivity of her labor.