Question

1 suppose the IQ's of adult Canadians follow a normal distribution with standard deviation 15. A random sample os 30 adult Canadians has a mean IQ of 112.

We would like to construct a 97% confidence interval for the true mean IQ of all adult Canadians. What is the critical value z* to be used in the interval? (you do not need to calculate the confidence interval. Simply find z*. input a positive number.

report answer to 2 decimal places

2 It is known that the amount of water adults drink per day follows a normal distribution with standard deviation 200 ml. A random sample of 50 adults is selected and it is found that their mean daily water intake is 1725ml.

What is the margin error for a 95 % confidence interval for the true mean daily water consumption of adults? (you do not need to calculate the entire confidence interval. The margin of error is simply the right side of the ± sign in a confidence interval.)

keep 4 decimal places in intermediate calculations and report your final answers to 2 decimal places.

3 We would like to construct a confidence interval for the mean μ of some population. Which of the following combinations of confidence level and sample size will produce the narrowest interval?

a 99% confidence, n= 30

b 90% confidence, n=35

c 95% confidence, n=35

d 95% confidence, n=30

c 90% confidence, n=30

4 It is calculated that, in order to estimate the true mean amount of money spent by all customers at a grocery store to within $3 with 90% confidence, we require a sample of 50 customers. What sample size would be required to estimate the true mean to within$1 with 90%?

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