A random variable has either a finite or a countable

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32. A _______ random variable has either a finite or a countable number of values. (discrete) 33. A _______ random variable has infinitely many values associated with measurements. (continuous)
34. In the binomial probability formula, the variable x represents the _______. (number of successes) 35. Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Z=0.41. (0.6591) 36. Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Z=-0.98. (0.8365) 37. Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Z= -0.99, z=1.27. (0.7369) 38. Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 0.3015 (-0.52) 39. Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. Answer the following questions. What are the values of the mean and standard deviation after converting all pulse rates of women to z scores using (u=0, o=1, the z-score are numbers without units of measurement) 40. Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. 80, 105. (0.5375) 41. Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t α/2 , (b) find the critical value z α/2 , or (c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n=184, x=29.6 hg, s=6.5hg. The confidence level is 95%. (1.97) 42. The test statistic of z=1.65 is obtained when testing the claim that p>0.5. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level ofα=0.10, should we reject H 0 or should we fail to reject H 0 (right-tailed, 0.05, reject h0. There is sufficient evidence to support the claim that p>0.5) 43. The test statistic of z=1.15 is obtained when testing the claim that p not equal 0.826. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.01 , should we reject H 0 or should we fail to reject H0? (two-tail, 0.250, fail to reject H0. There is not sufficient evidence) 44. Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2095 passenger cars in a particular region, 228 had only rear license plates. Among 313 commercial trucks, 48 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.10 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. (H0:p1=p2, H1:p1<p2, -2.31, 0.010, Reject H0. There is sufficient evidence to support the claim, -0.0720, -0.0170, do not contain, is, is)

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