Question

Q10. A population consists of the following N-5 scores: 0, 6, 4, 3, and 12 a. Compute u ando for the population b. Find the 2-score for each score in the population c. Transform the original population into a new population of N = 5 scores with a mean of u = 100 and a standard deviation of a = 20 Q11. For a sample with a mean of M = 51, a score of X = 59 corresponds to z-2.00. What is the sample standard deviation? Q 12. A test developed to measure ESP involves using Zener cards. Each card shows one of five equally likely symbols (square, circle, star, cross, wavy lines), and the person being tested has to predict the shape on cach card before it is selected Find each of the probabilities requested for a person who has no ESP and is just guessing. What is the probability of correctly predicting exactly 20 cards in a series of 100 trials? Q13. Rochester, New York, averages u = 21.9 inches of snow for the month of December. The distribution of snowfall amounts is approximately normal with a standard deviation of a -6,5 inches. A local jewellery store advertised a refund of 50% off all purchases made in December if we have more than 3 feet (36 inches) during the month. What is the probability that the jewellery store will have to pay off on its promise? Q14. A population has a mean of = 30 and a standard deviation of -8 a. If the population distribution is normal, what is the probability of obtaining a sample mein greater than M-32 for a sample of n-4? b. If the population distribution is positively skewed, what is the probability of obtaining a sample mean greater than M = 32 for a sample of n-4? c. If the population distribution is normal, what is the probability of obtaining a sample mean greater than M = 32 for a sample of n-64? 015. A random sample is obtained from a normal population with a mean of u = 95 and a standard deviation of a = 40. The sample mean is M - 86. Is this a representative sample mean or an extreme value for a sample of n - 16 scores? b. Is this a representative sample mean or an extreme value for a sample of n = 100 scores? Q16. In a study examining the effect of alcohol on reaction time, Liguori and Robinson (2001) found that even moderate alcohol consumption significantly slowed response time to an emergency situation in a driving simulation. In a similar study, researchers measured reaction time 30 minutes after participants consumed one 6-ounce glass of wine. Again, they used a standardized driving simulation task for which the regular population averages = 400 msec. The distribution of reaction times is approximately normal with = 40. Assume that the researcher obtained a sample mean of M-422 for the n = 25 participants in the study a. Are the data sufficient to conclude that the alcohol has a significant effect on reaction time? Use a two-tailed test with a -.01. b. Do the data provide evidence that the alcohol significantly increased (slowed) reaction time? Use a one-tailed test with a = .01. c. Compute Cohen's d to estimate the size of the effect 017. Find the value that forms the boundary of the critical region in the right-hand tail for a one-tailed test with a - .01 for each of the following sample sizes, a. n=10 b. n-20. 30 0.18 The following sample was obtained from a population with unknown parameters. Scores: 13, 7, 6, 12, 0, 4 a. Compute the sample mean and standard deviation (Note that these are

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Answer 1

el 1 = {x; = 25 = 5 = {x, a 25 - S 3 I 2 = X-4 = 0-5 - - 1.25 For x F = 6 = 6-5 0.25 For x = 4 Z = 4-5 = -0.25 For x = 3 Z = 3-5 - 0.5 For x = 12 Z = 12-5 1.75 x- + ÖZ By using above z score & 4 = 100, o = 20 we tranform original data into new data x= 100+20 (-1.25) = 75 x = 100 + 20 (0.25) = 105

x= x= x = 100+ 20(-0.25) = 95 100 + 20 (-0.5) = go 100+ 20(1.750 = 135 Original population = co, 6, 4, 3, 12, corresponding equivalent new population = ( 75, 105, 95, 90 ,135)