1. [10 points) A business consultant wanted to investigate if providing day-care facilities on premises
by companies reduces the absentee rate of working
mothers with children under six years old. She took a
sample of 45 such mothers from companies that provide
day-care facilities on premises. These mothers missed
an average of 6.4 days from work last year with a
standard deviation of 1.20 days. Another sample of 50
such mothers taken from companies that do not provide
day-care facilities on premises showed that these
mothers missed an average of 9.3 days last year with a
standard deviation of 1.85 days.
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a. Using a 2.5% significance level, can you conclude that
the mean number of days missed per year by mothers
working for companies that provide day-care facilities
on premises is less than the mean number of days missed
per year by mothers working for companies that do not
provide day-care facilities on premises?
b. Describe the Type 1 error in the context of the
problem and its probability for the hypothesis test.
3. [10 points] A survey of 1000 young adu
found that among adults aged 18-29, 35%

Question 1 (3 points) saved what is the solution for the following system of equations? use any method to solve. y = -x +4 y = x - 2 question 1 options: ( 4 , -2) (2, 1) (3, 1) (3, -2) question 2 (3 points) saved the solution to a system of equations is where the lines intersect. question 2 options: true false question 3 (3 points) which ordered pair is the best estimate for the solution of the system of equations? the graph of the system of equations : y = 3/2x +6 and y=1/4x - 2 question 3 options: (-6, -3) (-6.5, -3.5) (-7, -4) (-7, -3.5) question 4 (3 points) what is the solution for the following system of equations? use any method to solve. 2x + 8y = 4 x = -3y + 5 question 4 options: x = 14, y= -3 x = 2, y = -3 x = -3, y = -3 x = 12, y = 5 question 5 (3 points) solve the following system using any method. 8a - 4b = 20 5a - 8b = 62 question 5 options: a = 5, b = -4 a = 8, b = 4 a = -5, b = -8 a = -2, b = -9 question 6 (3 points) breana is selling tickets to a choral performance. on the first day of ticket sales, she sold 3 senior citizen tickets and 1 child ticket for a total of $38. breana took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. what is the price of a senior citizen ticket? question 6 options: question 7 (3 points) a farmer has 5 times as many cows as pigs. the farmer only has cows and pigs, and he has 168 animals. how many cows does he have? question 7 options: 140 cows 120 cows 50 cows 28 cows question 8 (3 points) how many solutions does the system have? question 8 options: zero one infinitely many question 9 (3 points) what is the solution to the system of equations? graph of x+2y = 6 and y = x question 9 options: (1 , -2) (2, 2) (3, 5) (-2, 2)