Calculate the test statistic and find the p-value

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At Western University the average scholarship examination scores for freshman applications has been 900. Each year, the assistant dean uses a sample of applications to determine whether the average examination score for the new freshman applications has increased (from the previous year). A random sample of 200 applications was drawn and the average score was found to be 935. Historically, it is known that the score has a Normal distribution and a standard deviation of 180.

a) Identify the parameter of interest.
b) Set up the null hypothesis and the alternative hypothesis.
c) Calculate the test statistic and find the p-value.
d) Using 5% level of significance level to make an appropriate conclusion so that the Dean could understand.

Reference no: EM13114014

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