Question

Oregon State University is interested in determining the average amount of paper, in sheets, that is recycled each month. In previous years, the average number of sheets recycled per bin was 59.3 sheets, but they believe this number may have increase with the greater awareness of recycling around campus. They count through 79 randomly selected bins from the many recycle paper bins that are emptied every month and find that the average number of sheets of paper in the bins is 62.4 sheets. They also find that the standard deviation of their sample is 9.86 sheets. What is the value of the test-statistic for this scenario

Answer 1

Answer:

The test statistic is $t = 2.79$

Step-by-step explanation:

From the question we are told that

    The population mean is $\mu = 59.3$

    The sample size is  $n = 79$

    The  sample mean is  $\= x = 62.4$

    The  standard deviation is  $\sigma = 9.86$

Generally the test statistics is mathematically represented as

            $t = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }$

substituting values

          $t = \frac{ 62.2 - 59.3 }{ \frac{ 9.86}{ \sqrt{ 79} } }$

          $t = 2.79$