For all hypothesis testing, you must use the five-step method. You are told that the population mean for the Law School Admissions Test (LSAT) for Canadian students is 429.You want to compare the population of UWO students with Canadian students as a whole with regard to LSAT scores. To find out, you take a random sample of 100 UWO students who have taken the test and find that the sample mean is 462. The population standard deviation is 81. Do UWO students score higher on the LSAT than students from Canada as a whole? You think they do. Use α = .05, and round to three places of the decimal. Interpret your results.
For all hypothesis testing, you must use the five-step method.
- You are told that the population
mean for the Law School Admissions Test (LSAT) for Canadian students is 429.You want to compare the population of UWO students with Canadian students as a whole with regard to LSAT scores. To find out, you take a random sample of 100 UWO students who have taken the test and find that the sample mean is 462. The population standard deviation is 81. Do UWO students score higher on the LSAT than students from Canada as a whole? You think they do. Use α = .05, and round to three places of the decimal. Interpret your results.
Given information:
The test claim is UWO students score higher on the Law School Admissions Test (LSAT) than students from Canada.
The sample mean, is 462.
The population standard deviation, is 81.
The population mean for the law school admission test (LSAT) for Canadian students is 429.
The five step testing procedure is:
(1)The statistical hypothesis is:
The null and alternate hypothesis for the test is,
It is a right-tailed test.
(2)Rejection Region
The level of significance for the test statistics is 5% i.e. 0.05 .
The critical value of Z statistics at 0.05 level of significance is 1.64.
Thus, any value of calculated z statistics above 1.64 will lie in the rejection region and will result in the rejection of null hypothesis at .
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