Young children in the united states are exposed to an average of 4.0 hours of background

television per day. having the television on in the background while children are doing other activities

may have adverse consequences on a child’s well-being. you have a research hypothesis that children

from low-income families are exposed to more than 4.0 hours of daily background television. in order

to test this hypothesis, you have collected a random sample of 60 children from low-income families

and found that these children were exposed to a sample mean of 4.5 hours of daily background

television. based on a previous study, you are willing to assume that the population standard deviation

is 1.0 hours. use .01 as the level of significance.

a) develop hypotheses that can be used to test your research hypothesis.

b) what is the p-value based on your sample of 60 children from low-income families? what is your

hypothesis test decision based on p-value approach?

c) repeat the test using the critical value approach. what is your hypothesis test decision?

d) state your conclusion for the study.

A. use the formula for continuous compounding with the original example: $1000 invested at 2% for 1 year. record the amount to 5 decimal places. use a calculator. b. compare it to the result using the original compound interest formula with n = 365 calculated to 5 decimal places. which has a larger value? explain.

Ftara spends $219 a month for her car payment and she makes $3,200 a month, what percent of her monthly income is spent on her car payment?

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).