Statistics Homework Solutions
Problem
#8280

Probability/Confidence Level

1) Megacorp wants to determine whether the mean of all one-day travel expenses in Moscow exceeds $500.  A simple random sample of 35 one-day travel expenses is obtained from Megacorp travel expense files.  The average one-day Moscow expense was found to be $538 with a standard deviation of $41.

a) Calculate the probability of observing a sample mean of at least $538 if the actual population mean is $500.

b) Based on you answer to a, do you think the mean of all one-day travel expenses for Megacorp employees in Moscow exceeds $500?  Explain.

2) Suppose that, for the sample size of n=100 measurements, we find a sample mean of 50 and a standard deviation of 2.  Calculate confidence intervals for the population mean with an 82% confidence level.

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Stats 5.doc
1) Megacorp wants to determine whether the mean of all one-day travel
expenses in Moscow exceeds $500. A simple random sample of 35 one-day
travel expenses is obtained from Megacorp travel expense files. The
average one-day Moscow expense was found to be $538 with a standard
deviation of $41.

Calculate the probability of observing a sample mean of at least $538 if
the actual population mean is $500.

Based on you answer to a, do you think the mean of all one-day travel
expenses for Megacorp employees in Moscow exceeds $500? Explain.

2) Suppose that, for the sample size of n=100 measurements, we find a
sample mean of 50 and a standard deviation of 2. Calculate confidence
intervals for the population mean with an 82% confidence level.
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