A manufacturer of coil spring is interested in implementing a quality control system to monitor his production process. As part of this quality system, it is decided to record the number of nonconforming springs in each production batch of size 50. During 40 days of production, 40 batches of data were collected and follow: Batch No. No. of Nonconforming Springs 19 212 36 49 57 614 712 84 96 107 118 125 139 147 158 1611 173 186 197 207 2111 224 234 248 257 265 276 284 295 308 3119 3219 3318 3412 3511 3617 3715 3817 3913 4013
Let X be a random variable representing the number of nonconforming coil springs in a production batch of size 50. Its mean is denoted µ and its standard deviation is ?.
a. Give a point estimate for µ and ?.
b. Compute the (estimated) standard error for the estimate of the mean.
c. Construct a 95% confidence interval for µ.
d. Without computing the 90% confidence interval for µ, would you expect the length of the interval to be smaller or larger than the 95% confidence interval? Explain your answer in a few sentences.

Select the best attribute for the angle pair formed by two parallel lines intersected by a transversal.

What is the ratio for the surface areas of the cones shown below, given that they are similar and that the ratio of their radil and altitudes is 4: 3? 23

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).