Is Statistics much easier than Calculus? A math course is consideredeasier than another math course if, gave that two courses arebeing taught by the very same instructor and also at the very same level ofexpectation plus prerequisites, end-of-quarter average GPA of thecourse is higher than that of the other course. In a sample of 116students from Mr. Duong"s Statistics classes, the averageend-of-quarter GPA is 3.9 with traditional 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 reexisting the intend GPA of students in Statistics andstudents in Calculus respectively. At meaning level 0.019, isthere solid evidence indicating that Calculus is harder thanStatistics?

A) Find ¯d and also the merged typical error, SEc.¯d= . Round your answer to 2 decimal locations.SEc= . Round your answer to 4 decimal locations.

State the Null and also Alternating Hypotheses?

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

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

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Find the Degrees of Freedom of the samples:D.F.= .

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

How does p-value of the samples compare to 0.019? And are thesamples reflecting strong evidence to disapprove H0?

H) Based on the provided samples, construct a 85.9 % confidenceinterval to estimate the distinction in intend GPA of Statisticsstudents and also Calculus students (d=μ1−μ2).tc= . Round tc to 3 decimal locations.C.I.: ¯d± . Round margin of error, E, to 2 decimal locations.

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