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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Transcribed picture text: s Statistics simpler than Calculus? A mah cose is thought about less complicated than another math course if, provided that two courses are being tanght by the eame inetructor and at the exact same level of expectation plus prerequisitee, end of quarter average G of the coure is better than that of the other course. in a sample of 116 stodents from Mr. Duoag's Statisties clases, the average end-of-quarter GPA in 39 via conventional devianoa 0.15. In a sample 15 stadenta from hia Calculus classes, the cnd-of-quarter GPA is 3.34 mith standard deviatoa 0.4 Let p a represeat the mean GE of stodents in Statistics studeats in Caloule reepectively. At significamoe level 0.019, is tbelow stromg proof indicating that Caloube is bardeer than statistics A) Fmdd snd the eombned standnt o, SR d - SE .Round rour answer so 2 decimal areas .Round our answer to 4 decimal areas ) State the Null and Alteraate ypothewatch OII (d 0 II -(d-0 H (d 0) (d- 0) H id0 H (d > 0 C) Ts this e-ail, righd-lail, uneIil, tw-l) l Otun-de Oon-lail Oght-t Je tail D) Find the tworth of the sample Rnd your asnwer la 3 dml plces E) Find the Degrees offreedom of the samples: D.F. F) Fd the pvalue ofd, de difbrmer in smge man palu G)How does p value of the samples compare to 0.019T And are the samples reflecting stroag evidence to reject H Op-worth.019, Ye. Pp value0.010, No. Op-valur 019, N Opvalue0.019, Yes. H) Basd on the piven samples, coastruct a S5.9 %% contidence interval to estimate the difference in me GEA of Statiatics studenta and also Calkulus studsuts (d ) Round t, to 3 deimal placcs C. I. d Round maraia of error. E to 2 decimal placea.
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