You are hired by the u. s. treasury to determine whether a batch of 5 quarters is counterfeit. assume you are told that a standard u. s. quarter has a weight that is normally distributed with mean 5.67 grams and standard deviation 0.02 grams. assume that the weight of counterfeit coins has a distribution with unknown mean and standard deviation. (a) what type of hypothesis test should you use to determine whether the quarters are counterfeit? be specific. write down a null and alternative hypothesis for your test. (b) determine a rejection region for your test at a significance level of alpha = 0.01. (c) assume you measure the weights of the 5 quarters to be 5.68, 5.65, 5.64, 5.63, and 5.61 respectively. what is the value of your test statistic, and what is its p-value? (d) what inference can you make about the null hypothesis at the alpha = 0.01 significance level?

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.