a)It is false that the probability that μ is between 1.35 and 5.23 is 0.90. b) It is false that 90% of all samples should have x between 1.35 and 5.23.
c) It is true that We are 90% confident that the true mean number of children per Bay Ares family is between 1.35 and 5.23
d) It is false that 90% of all Bay Area families have between 1.35 and 5.23 kids.
a) False. The probability that μ is between 1.35 and 5.23 is not 0.90. This probability is unknown, for b) False. 90% of all samples should not necessarily have x between 1.35 and 5.23. This is because the confidence interval only gives us an estimate of the population mean, not the actual value of the population mean, for c) True. We are 90% confident that the true mean number of children per Bay Area family is between 1.35 and 5.23. This is because the confidence interval gives us a range of values that is likely to contain the population means and for d) False. 90% of all Bay Area families should not necessarily have between 1.35 and 5.23 kids. This is because the confidence interval only gives us an estimate of the population mean, not the actual value of the population mean.
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