Is Statistics easier than Calculus? A mathematics course is consideredeasier than another math course if, listed that two courses arebeing teach by the exact same instructor and also at the exact same level ofexpectation to add prerequisites, end-of-quarter median GPA the thecourse is greater than that of the various other course. In a sample of 116students indigenous Mr. Duong"s Statistics classes, the averageend-of-quarter GPA is 3.9 v standard deviation 0.18. In a sample115 students from his Calculus classes, the end-of-quarter GPA is3.34 through standard deviation 0.4.Let μ1,μ2 represent the average GPA of student in Statistics andstudents in Calculus respectively. At meaning level 0.019, isthere solid evidence indicating the Calculus is more difficult thanStatistics?

State the Null and alternate Hypotheses?

Is this a (left-tail, right-tail, one-tail, two-tail) test?

Find the t⋆ value of the sample:t⋆= . Round your asnwer come 3 decimal places.

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Find the degrees of freedom of the samples:D.F.= .

F) uncover the p-value of ¯d, the difference in sample means:p-value= .

How does p-value the the samples compare to 0.019? and also are thesamples showing strong evidence to refuse H0?

H) based on the provided samples, build a 85.9 % confidenceinterval to calculation the difference in typical GPA that Statisticsstudents and also Calculus college student (d=μ1−μ2).tc= . Round tc to 3 decimal places.C.I.: ¯d± . Round margin the error, E, to 2 decimal places.

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