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The following data represent political party by age from a random sample of registered Iowa voters.
17-29 30-44 45-64 65+ Total
Republican 224 340 1075 561 2200Democrat 184 384 773 459 1800Total 408 724 1848 1020 4000
a. Are the events "Republican" and "30-44" independent? Justify your answer.
b. Are the events "Democrat" and "65+" independent? Justify your answer.
c. Are the events "17-29" and "45-64" mutually exclusive? Justify your answer.
d. Are the events "Republican" and "45-64" mutually exclusive? Justify your answer.
Calculate the value of the chi-square statistic and test whether all regions are statistically the same at 5% and 1% level tests.
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Determine new, standardized score for each of following values from original population.
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A loaf of bread is normally distributed with a mean of 22 oz and a standard deviation of 0.5 oz. What is the probability that a loaf is more than 22.25 oz?
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To determine whether two categorical variables are independent, one should use the:
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The random variable x is known to be uniformly distributed between 1.0 and 1.5.
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At the 5% level of significance, can we infer that the population mean weight of athletic men is lower than the population mean weight of non-athletic men by more than 2 pounds?
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