An experiment has two stages. In the first stage there are three outcomes A, B, and C, and it is known Pr[A] = Pr[B] = .4. In the second stage, there are two outcomes X and Y and Pr[X|A] = Pr[Y|C] = .3 and Pr[X|B] = .7. What is Pr[Y|A]? Pr[A|Y]? %3D
Q: Suppose P(A) = 0.57, P(B) = 0.20, and P(AM B)= 0.05. What is P(A| BC?
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Q: Given P(A) = 0.28, P(B) = 0.20, and P(B|A) = 0.28, are A and B independent or dependent?
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Q: n1 = 55 and n2 = 65 p1 = .7 and p1 = .6. Ho:(p1-p2)=0 against Ho:(p1-p2)>0 using a=.05
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A: Given that P(E or F) = 0.78, P(E) = 0.10, and P(E and F)=0.18
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- An automobile service facility specializing in engine tune-ups knows that 60% of all tune-ups are done on four-cylinder automobiles, 30% on six-cylinder automobiles, and 10% on eight-cylinder automobiles. Let X = the number of cylinders on the next car to be tuned. What is the pmf of X?Quit smoking: A recent study reported that in a sample of 234 European-American HIV-positive smokers, 105 of them had used a nicotine patch to try to quit smoking, and in a sample of 81 Hispanic-American HIV-positive smokers, 25 had used a nicotine patch. Can you conclude that the proportion of patch users is greater among European-Americans? Let p₁ denote the proportion of European-Americans who used the patch. Use the a=0.01 level of significance. Part 1 of 4 (a) State the appropriate null and alternate hypotheses. Ho: P₁ (Choose one) ▼ P₂ H₁: P₁ (Choose one) P2 This is a (Choose one) test. Part 2 of 4 (b) Find the P-value. Round the answer to four decimal places. P-value= X S Śman 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…
- hp F8 F9 F10 F11 F12 Print Sc 7. An experiment was carried out to determine if restrictive labels on video games actually increase the attractiveness of the game for young game players. Participants read a description of a new video game and were asked how much they wanted to play the game. The description also included an age rating. Some participants read the description with an age restriction level of 7+, indicating that the game was not appropriate for children under the age of 7. Others read the same description, but with an age restrictive label of 12+, 16+, or 18+. Use following data was for 12- to 13-year-old boys, you can assume that the boys were assigned at random to one of the four age label treatments (7+, 12+, 16+, ans 18+). Data shown are the boys' ratings of how much they wanted to play the game on a scale of 1 to 10. Do the data provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four…(15)16 %3D Select one: a. (1011)2 b. (101001)2 c. (10101)2The 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) ___________.
- Given P(A) = 0.28, P(B) = 0.20 and P(B|A)=0.28 are A and B independent dependent?Would you favor spending more federal tax money on the arts? of a random sample of n, - 237 women, r,- 68 responded yes. Another random sample of n, - 192 men showed that r,- 64 reponded yes. Does this Information Indicate a difference (ether way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use a = 0.05. (a) what is the level of signihcance? 0.05 State the nul and alternate hypotheses. O H, P, - Pai H P,Pa O Hoi Pa - Pai M P, P2 OH, P,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.Let n=23 and consider the following information, Model One: Y = Bo + B1X, + B2X2 + B3 X3 + B4X, +e and R 90.62% Model Two: Y Bo + B1X1 + B2X2 + B4X4 + e and R2 = 82.55%, Model Three: Y = Bo+ B1X1 + B2X2 + B3X3 te and R2 Model Four: Y = Bo + B,X1 + B,X, +e and R? 86.85%, 81.19%. %3| Consider testing that Ho : B1 = B2 = B3 = 0. The value of the computed test statistic is Select one: O a. 74.45 O b. 41.83 Oc. 29.96 O d. 43.46A researcher designed a study to test whether caffeine use enhanced performance time to run a 100 meter sprint. The participants (n=30) ran a 100 meter sprint before the consumption of caffeine on day 1 and then they ran another 100 meter sprint on the following day 2 after ingesting caffeine. The average time taken to run the 100 meter sprint on day 1 was (M1) and the average to run on day 2 after caffeine was (M2). The variance for this study was calculated to be (S2). Does caffeine use improve the running time in the 100 meter sprint (e.g., lower time)? Use all of the data provided to you below and test at an alpha of 0.05. M1 = 26.53M2 = 14.69S2 = 207.75n=30 a) state null and alternate hypothesis b) what is the critical value c) what is the obtained value d) conclusionRABCD X₁ 12 20 2 A researcher is interested in seeing if listening to a political debate changes anxiety scores among people. The researcher knows of no previous research that would predict whether anxiety scores would be raised or lowered. The researcher gathers a sample of n = 4, and gives these participants an anxiety test before and after listening to the political debate. Below are the data (anxiety scores) at time one (X₁) and time two (X₂) for all participants. Participant 10 10 X₂ 28 24 26 18 b.) Is this a one or a two-tailed test? a.) State the researcher's null and alternative hypotheses (using symbols OR everyday language): c.) Find the critical value (alpha = .05) d.) Compute the observed test statistic (remember to show your work) 5 e.) Based on the information above, what is your statistical conclusion? f.) Describe briefly what we can conclude in practical terms 6 g.) Based on the results above, calculate a Cohen's d and interpret what this tells us about the difference…