At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed.
What is the p-value (to 3 decimals)?
To determine the p-value, we first need to calculate the test statistic. In this case, we will use the z-test.
The formula for the z-test statistic is:
z = (x̄ - μ) / (σ / √n)
Where:
x̄ is the sample mean
μ is the population mean
σ is the population standard deviation
n is the sample size
Given:
Population mean (μ) = 900
Population standard deviation (σ) = 180
Sample size (n) is not provided
Since the sample size is not given, we cannot calculate the z-test statistic or the p-value without this information. Please provide the sample size (n) so that we can proceed with the calculation.