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MATH/STAT 203 A - Probability and Statistics I (SP 2025)

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The weight of newborn babies is normally distributed with mean 3.5 Kg and standard deviation 750 g. What is more likely to find?
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If you take random samples of the same size repeatedly from the same population, and for each sample you construct a 95% confidence interval for the population mean, then about 95% of the intervals should contain the population mean.
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Recent data from a sample of 100 patients shows that on average it takes about 6 ± 2 months to see a dermatologist in BC. Suppose we want to construct a new CI with margin of error 1 month. Then we need to: 

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In 2007, the ALOS (Average Length of Stay) in the US was 5.5 days. This means that about 50% of inpatient hospital stays in the US in 2007 lasted less than 5.5 days.

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When one changes the significance level of a hypothesis test from 0.01 to 0.05, which of the following will happen? 

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Wait times to see a doctor in walk-in clinics follow a bell shape distribution with a mean of 40 minutes and a standard deviation of 10 minutes. In a sample of 100 patients, about how many would have to wait at least 50 minutes?

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The standard deviation of the sampling distribution of the means is smaller when n = 27 compared to that of the sampling distribution of the means when n = 9.
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The weight of women in a certain population is normally distributed with men 68 kg and standard deviation 7 kg. Complete the following:

If a randomly selected woman has a weight of 55, then her z-score is:

[type your answer as a decimal.]

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The proportion of people in Canada with more than one citizenship is about 11%.

In a simple random sample of 100,000 Canadians, what is the expected number of people with only one citizenship?

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The height of an adult man is normally distributed with mean 170 cm and sd 10 cm.

It is more likely to find a 25 men whose average height is less than 170cm vs finding 25 men whose average height is greater than 180cm.

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