Question

In: Statistics and Probability

For a school, the principal expected that a student takes 45 minutes to travel to school...

For a school, the principal expected that a student takes 45 minutes to travel to school on average. Suppose the time taken to travel to school by a student follows a normal distribution. 100 students are randomly selected from the school for interview and they took on average 44 minutes to travel to school with a standard deviation of 15 minutes. 6 of the selected students had lateness record in the last month.

  1. How large a sample is required to ensure the estimate of p is accurate within 2% with a confidence level of 97%?
  2. By using critical value approach to perform a hypothesis testing for the principal’s claim that under (10 of all students had lateness record in the last month at level of significant α = 0.01. Correct the test statistics to 2 decimal places.

Solutions

Expert Solution

The estimate of population proportion is 6/100 =0.06.

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The principal;'s claim that under 10/100 = 0.10 of all students had lateness record in the last month.


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