111sp07_midterm3versionA - 550.111 Statistical Analysis I -...

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550.111 Statistical Analysis I - Spring 2007 Midterm #3 version A Name 1. Suppose a random sample of size n measurements is taken from a normally distributed popu- lation with unknown mean μ and unknown standard deviation σ . The sample mean and sample standard deviation are x n = 110 and s = 20, respectively. The following are separate question unless otherwise noted. (a) [10 pt] If n = 225, construct a 95% confidence interval for the population mean μ , and then interpret the meaning of this interval. (b) [10 pt] If n = 7, construct a 95% confidence interval for the population mean μ .
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2. A statistics professor wishes to test if the mean student exam scores on a standardized sta- tistics test differs from that of the national average of 76. Of the 120 students taking this exam it was found that the sample mean exam score was 79 with a sample standard deviation of 12. (a) [5 pt] Write down the null and alternative hypotheses for this situation. Please label each hypothesis appropriately. (b) [5 pt] Write down the appropriate test statistic to use in this situation.
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111sp07_midterm3versionA - 550.111 Statistical Analysis I -...

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