In 2017, the average reading score of the fourth graders in the United States was 222 points. In a simple random sample of 16,000 fourth graders taken nationally in 2019, the average reading score is 221 and the SD is 40 points. Is the national average reading score for fourth graders in 2019 different from what it was in 2017? Or is the observed difference just chance variation? Perform a test of hypotheses to answer the question, in the following steps. a) State an appropriate null hypothesis in non-technical terms and also as a set of assumptions about random variables.
b) State an appropriate alternative hypothesis.
c) What test statistic are you going to use? Justify your choice
d) Find an exact or approximate p-value.
e) At the 5% level, what is the conclusion of the test? Why?

On a piece of paper, graph . then determine which answer choice matches the graph you drew

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.