In the standard normal distribution, the standard deviation is
alway
The area under a normal curve with mu = 15 and sigma = 2 is
If John gets an 80 on a physics test where the mean is 85 and
the standard deviation is 3, where does he stand in relation to his
classmates?
In a normal distribution with mu = 25 and sigma = 3, what number
corresponds to z = -3?
Let’s assume you have taken 100 samples of size 36 each from a
normally distributed population. Calculate the standard deviation
of the sample means if the population’s variance is 25
The area to the left of ‘z’ is 0.9976. What z-score corresponds
to this area?
Find P(11
What is the critical z-value that corresponds to a confidence
level of 86%?
Compute the population mean margin of error for a 90% confidence
interval when sigma is 4 and the sample size is 36.
A standard IQ test has a mean of 98 and a standard deviation of
16. We want to be 95% certain that we are within 8 IQ points of the
true mean. Determine the sample size
A private medical clinic wants to estimate the true mean annual
income of its patients. The clinic needs to be within $200 of the
true mean. The clinic estimates that the true population standard
deviation is around $1,300. If the confidence level is 95%, find
the required sample size in order to meet the desired accuracy
An auditor wants to estimate what proportion of a bank’s
commercial loan files are incomplete. The auditor wants to be
within 10% of the true proportion when using a 95% confidence
level. How many files must the auditor sample? No estimate of the
proportion is available, so use 0.5 for the population
proportion
Interpret a 90% confidence interval of (4.355, 4.445) for a
population mean
A nursing school wants to estimate the true mean annual income
of its alumni. It randomly samples 200 of its alumni. The mean
annual income was $52,500 with a standard deviation of $1,800. Find
a 95% confidence interval for the true mean annual income of the
nursing school alumni
An auditor wants to estimate what proportion of a bank’s
commercial loan files are incomplete. The auditor randomly samples
60 files and finds 12 are incomplete. Using a 95% confidence
interval, estimate the true proportion of incomplete files for ALL
the bank’s commercial loans. Write a statement about the confidence
level and the interval you find
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