A machine that is programmed to package 3.00 pounds of cereal in each cereal box is being tested for its accuracy. In a sample of 49 cereal boxes, the mean and the standard deviation are calculated as 3.05 pounds and 0.14 pound, respectively. b-1. Calculate the value of the test statistic

b-2. Find the p-value.

multiple choice 2

p-value < 0.01

p-value 0.10

0.05 p-value < 0.10

0.01 p-value < 0.02

0.02 p-value < 0.05
c-1. What is the conclusion at the 5% significance level?

multiple choice 3
Do not reject H0 since the p-value is smaller than significance level.
Do not reject H0 since the p-value is greater than significance level.
Reject H0 since the p-value is smaller than significance level.
Reject H0 since the p-value is greater than significance level.

F(x) = x2 − 9, and g(x) = x − 3 f(x) = x2 − 4x + 3, and g(x) = x − 3 f(x) = x2 + 4x − 5, and g(x) = x − 1 f(x) = x2 − 16, and g(x) = x − 4 h(x) = x + 5 arrowright h(x) = x + 3 arrowright h(x) = x + 4 arrowright h(x) = x − 1 arrowright

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).

Paul can type 60 words per minute and jennifer can type 80 words per minutes.how does paul's typing speed compare to jennifer's