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?

Restrictions on f(x) = 1/x+5 and g(x) = x-2

Merrida uses a pattern in the multiplication table below to find ratios that are equivalent to 7: 9. if merrida multiplies the first term, 7, by a factor of 6, what should she do to find the other term for the equivalent ratio? multiply 9 by 1. multiply 9 by 6. multiply 9 by 7. multiply 9 by 9.

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution