MTH220_JAN21_L01QuizzesPCQ01
Samples of size n = 9 are selected from a population with mean µ = 60 and standard deviation σ = 12. What is the expected value for the distribution of sample means?
Samples of size n = 9 are selected from a population with mean µ = 60 and standard deviation σ = 12. What is the standard deviation for the distribution of sample means?
The mean rent of an apartment is $780. You randomly select 9 apartments. Compute the probability that the mean rent is less than $825. Assume that the rents are normally distributed with a mean of $780 and a standard deviation of $150.
A bank found that 24% of it’s loans become delinquent. Suppose 200 loans are made. Using normal approximation to binomial model, compute the approximate probability that at least 60 loans are delinquent.
Given that the distribution of PaO2 levels among newborns follows a normal distribution with mean = 38 and a standard deviation = 9. Suppose we take a sample of size n = 25. Compute the probability that the sample average will be greater than 36.
A random sample of n = 16 has sample mean = 40 and sample variance = 36. Construct a 95% confidence interval (i.e. t interval) for μ.
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