Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 39 and   p = 0.20.  (For each answer, enter a number. Use 2 decimal places.) n·p =  n·q =

When using the t test, we reject H0 _________.

Part I: Probability For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4,2)/24 instead of 0.375. 5. You are playing Scrabble and you draw seven tiles: M, A, T, C, H, E, S. You line them up in some random order on your tile rack (assume all orderings are equally likely). The events M, T, and S are defined as follows: M: The tiles M, A, T, H appear consecutively. T: The tile T appears exactly in the middle (fourth position). S: The tile S is either in the first position or in the final position. Calculate the probability of each event; that is, p(M), p(T), and p(S). 5.1 5.2 What is p(MIT)? 5.3 What is p(MIS)? 5.4 5.5 What is p(T|S)? Consider all pairs of events: (M,T), (M,S), and (T,S). Which pairs of events are independent and which pairs of events are not independent? Justify your answer.

The population mean annual salary for environmental compliance specialists is about ​$63 comma 00063,000. A random sample of 3131 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than ​$59 comma 00059,000​? Assume sigmaσequals=​$5 comma 8005,800. (Need help solving this)

A researcher is interested in the reaction time of college students under high cognitive load. The students are asked to remember a random number sequence. While trying to remember the number sequence, the students are instructed to press the space key after they hear a tone on the computer. The researcher measures the time between when the tone occurs and when the space key is pressed. The variable being measured is a ___________ variable.

Which z-score has the higher frequency? (a) z = +1.0 or z = +2.3; (b) z = −2.8 or z = −1.7; (c) z = −.70 or z = −.20; (d) z = 0.0 or z = −2.0.

K Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 582 randomly selected adults showed that 57% of them would erase all of their personal information online if they could. Find the value of the test statistic The value of the test statistic is (Round to two decimal places as needed.).

There are 20 different pairs of shoes. Pick at random 10 shoes. Let X be the number of paired shoes, M be the number of shoes that are left-foot, N be the number of shoes that are right-foot.   (a)  Find the distribution of X. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula   (b)  Let Y = M – N. Give all possible values of Y. Find the distribution of Y. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula.   (c)  let Z = |Y|, compute E(X), Var(X), E(Z) and Var(Z). Show your problem-solving process (not just the answer), keep 2 decimal places for E(X) and E(Z), and use the approximate values for the calculations of Var(X) and Var(Z).