(a). For a data set with a strongly left-skewed histogram, the sample mean will be larger than the sample median. (b). Consider two events, A and B. The probability of event A is 0.55 and the probability of event B is 0.6. It follows that the events A and B cannot be disjoint.

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Write True or False beside each statement. If the statement is False, correct the statement.
(a). For a data set with a strongly left-skewed histogram, the sample mean will be larger than the sample
median.
(b). Consider two events, A and B. The probability of event A is 0.55 and the probability of event B is 0.6. It
follows that the events A and B cannot be disjoint.
(c). The current median income per household in Toronto is about $78,000 annually. It is possible to alter
the incomes of 85% of the population of Toronto and not change the median.
(d). A data set is observed and a 95% confidence interval for the population mean u is calculated to be
(-0.3, 0.9). This means that the probability that the population mean u lies in (-0.3, 0.9) is 95%.
(e). In a test of a statistical hypothesis, we attempt to find evidence in favour of the null hypothesis.
(f). A hypothesis test is performed and a p-value of 0.043 is reported. In this case, and using significance
testing, the smallest a at which the null hypothesis would be rejected is 0.043.
(g). Consider a confidence interval for a population mean. If the sample size n is doubled, then the width of
the interval is halved.
Transcribed Image Text:Write True or False beside each statement. If the statement is False, correct the statement. (a). For a data set with a strongly left-skewed histogram, the sample mean will be larger than the sample median. (b). Consider two events, A and B. The probability of event A is 0.55 and the probability of event B is 0.6. It follows that the events A and B cannot be disjoint. (c). The current median income per household in Toronto is about $78,000 annually. It is possible to alter the incomes of 85% of the population of Toronto and not change the median. (d). A data set is observed and a 95% confidence interval for the population mean u is calculated to be (-0.3, 0.9). This means that the probability that the population mean u lies in (-0.3, 0.9) is 95%. (e). In a test of a statistical hypothesis, we attempt to find evidence in favour of the null hypothesis. (f). A hypothesis test is performed and a p-value of 0.043 is reported. In this case, and using significance testing, the smallest a at which the null hypothesis would be rejected is 0.043. (g). Consider a confidence interval for a population mean. If the sample size n is doubled, then the width of the interval is halved.
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