Step 2 We are interested in the probabilities of finding r illiterate people, when r = 0, 1, 2, 3, 4, 5 and 6. Use this table to create a table of r values and the corresponding P(r) values whenn = 6 and p = 0.2. (Round your answers to three decimal places.) P(r) 0.262 (No Response) 0.393 2 0.246 (No Response) 0.082 0.015 (No Response) 0.002 0.000 The height of each bar in this histogram indicates the probability of r successes, where a success is defined as "finding an illiterate person." So, to construct the histogram, put r values on the horizontal axis and P(r) values on the vertical be centered over the r value. vertical axis. Since the data are discrete, each class mark will Select the histogram of the probability distribution. D40 0.40 0.35 D.35 0.25 0.25 0.15 0.15 0.05 0.06 31 0.40 0.40 0.35 0.35 0.25 0.25 0.15 0.15 0.00 0.06 Step 3 (b) Find the mean and standard deviation of this probability distribution. Find the expected number of people in this sample who are illiterate. We will first find the mean. Recall that the mean of a binomial distribution is given by u = np. We previously determined that n= 6 and p = 0.2. Substitute the values for n and p into the formula and simplify to find u. и пр |(0.2) people

Find the value of each by hand. Do not use statistical features of your calculator. (a) 8!  (b) 13C10

(c-1) Comparison of credits at time of graduation for randomly chosen accounting and economics students: x⎯⎯1x¯1 = 149, s1 = 2.8, n1 = 12, x⎯⎯2x¯2 = 146, s2 = 2.7, n2 = 17, α = .05, right-tailed test.(Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick" rules for degrees of freedom.)      d.f.   t-calculated   p-value   t-critical

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.

A psychologist would like to examine the effects of a new drug on the activity level of animals. Three samples of rats are selected with n=5 in each sample. One group gets no drug, one group gets s small dose, and the third group gets a large dose. The psychologist records the activity level for each animal. The data from this experiment are presented below.   No drug Small dose Large dose 5, 3 , 1 , 1 , 5 5, 5, 9, 6, 5 10, 12, 9, 6, 8 =3, SS=16 =6, SS=12 =9, SS=20   Do these data indicate any significant differences among the three groups? Test with α=0.05.                        Compute the effect size and interpret the result.

Foreign freshmen are required to take an English placement exam. Over the past several years, 20% of the new students have failed the test and have been placed in remedial classes. In a sample of n = 100 studentsfrom this year’s class, only 12 failed the test.

man loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests.  He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below.   ANALYSIS OF HOURS AND GRADES (n = 16):   Descriptive Statistics:   HOURS GRADES Mean:  4.2  75.8 Mode:  5.0  79.0 St. Dev:  2.3  10.1   Quartiles: Q0  2.0  34.0 Q1  3.2  53.7 Q2  4.7  78.5 Q3  6.3  86.9 Q4  9.0  97.0   Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027   F = 8.52 p = .018     What problem might there be in using the regression model to predict what grade a student might get if they studied 10 hours?         a. The predicted grade for 10 hours is more than 100, which is impossible.   b. The value of 10…

Solve second one

(2.1)

The director of student recruitment is interested in the ACT scores for the incoming Freshmen class. A group of 300 students is surveyed and the research finds that these students have an average ACT score of 21. For this study, the average of 21 is an example of a(n) ___________.