Math 183 Final Review

A coffee shop serves an average of 75 customers per hour during the

morning rush. What probability distribution would be most appropriate for calculating the probability of a given

number of customers arriving within one hour during this time of day?

• Poisson

• Normal

• Geometric

• Binomial

The margin of error for your confidence interval is 12% with a sample size of n. How big a sample size would you have needed if you wanted your confidence interval to have a margin of error of 3%?

• 16n

• 4n

• 32n

• 2n

An approximate 95% confidence interval for the average age of the mothers in the population is (26.9, 27.6) years.

True or False: There is a 0.95 probability that the average age of mothers in the sample is in the range 26.9 to 27.6 years

• True

• False

Suppose the P-value of a test comes out to be about 0.5%. True or false: There is about a 0.5% chance that the null hypothesis is true.

• True

• False

If X ~ Poisson(4), Y ~Poisson(4.5), and Z~Poisson(1), and X,Y,Z, are independent, what is the exact distribution of X + Y + Z ?

• It is not a nice named distribution

• Poisson(4)

• Poisson(9.5)

• Normal(9.5,9.5)

Match the intervals with their descriptions

• a:I, b:II, c:III

• a:II,b:I, c:III

• a:III, b:I, c:II

• a:I, b:III, c:II

If a given value (for example, the null hypothesized value of a parameter) is within a 95% confidence interval, it will also be within a 99% confidence interval.

• True

• False

Decreasing the significance level (α) will increase the probability of making a Type 1 Error.

• True

• False

• True

• False