Testing Claims About Proportions. In Exercises 9–32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the
Super Bowl Wins Through the sample of the first 49 Super Bowls, 28 of them were won by teams in the National Football Conference (NFC). Use a 0.05 significance level to test the claim that the
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- Dimensional characteristics, such as height, are an example of a: a. continuous random variable b. discrete random variable c. categorical random variable d. Any of the abovearrow_forwardpls solve bcd Find the expected value of each random variable: a. x 10 20 30 P(X=x) 0.3 0.5 0.2 b. x 2 3 4 5 P(X=x) 0.3 0.4 0.2 0.1 c) Find the standard deviation of the random variables in part(a).d) Find the standard deviation of the random variables in part(barrow_forwardSeat Designs. In Exercises 13–20, use the data in the table below for sitting adult males and females (based on anthropometric survey data from Gordon, Churchill, et al.). These data are used often in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. (Hint: Draw a graph in each case.) Sitting Back-to-Knee Length (inches) Find the probability that a female has a back-to-knee length between 22.0 in. and 24.0 in.arrow_forward
- Lesson 10 Q4 The number of accidents in a week is ___________? A.a continuous random variable. B.a discrete random variable. C.neither continuous nor discrete variable. D.continuous and discrete variables.arrow_forwardThe amount of time, T, that the effect of caffeine is felt on your body after drinking a cup of coffee is given by a continuous random variable with an exponential distribution. On average, caffeine is felt for about 5 hours after drinking the cup. (Answer part a-c) a. What is the probability that the effect lasts at least 4 hours? b. What is the probability that the effect lasts fewer than 6 hours? c. You usually go to sleep at 11:30 pm, and drink exactly one cup of coffee a day. Suppose you wish to guarantee at most a 5% chance of feeling the effects of caffeine when you go to sleep. What's the latest that you should drink your only cup of coffee?arrow_forwardplease see picturearrow_forward
- Identifying Probability Distributions. In Exercises 7–14, determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Genetic Disorder Five males with an X-linked genetic disorder have one child each. The random variable X is the number of children among the five who inherit the X-linked genetic disorder.arrow_forwardIdentifying Probability Distributions. In Exercises 7–14, determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Cell Phone Use In a survey, cell phone users were asked which ear they use to hear their cell phone, and the table is based on their responses (based on data from “Hemispheric Dominance and Cell Phone Use,” by Seidman et al., JAMA Otolaryngology—Head & Neck Surgery , Vol. 139, No. 5).arrow_forwardpart C D Earrow_forward
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