A potential investor collected attendance data over a period of 49 days at the North Mall and South Mall theaters in order to determine the difference between the average daily attendances. The North Mall Theater averaged 720 patrons per day with a variance of 100, while the South Mall Theater averaged 700 patrons per day with a variance of 96 . Develop an interval estimate for the difference between the average daily attendances at the two theaters. Use a confidence coefficient of .95.
Question 2
The reliability of two types of machines used in the same manufacturing process is to be tested. The first machine failed to operate correctly in 90 out of 300 trials, while the second type failed to operate correctly in 50 out of 250 trials.
a. Give a point estimate for the difference between the population proportions of these machines.
b. Calculate the pooled estimate of the population proportion.
c. Carry out a hypothesis test to check whether there is a statistically significant difference in the reliability for the two types of machines using a .10 level of significance.
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