QTM1000 Day 12Hypothesis TestingDay 12 – Hypothesis TestingThe Undergraduate Dean claimed that the entering class this year appeared to be larger than the entering class from previous years but their mean SAT score is lower than previous years. Hetook a sample of 20 of this year's entering students and found that their mean SAT score is 1,261 with a standard deviation of 53. The college’s record indicates that the mean SAT score forentering students from previous years is 1,280. The Dean wants to find out if his claim is supported by the evidence at a 5% level of significance.1.State the hypotheses for this study.
2.Find the standard error for this hypothesis test:
3.Determine the value of the test statistic for this test:
4.Determine the p-value for this test: