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please assist A statistics tutor wishes to study the effect that his tutoring has on his students. He randomly selects 4 new students and records

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A statistics tutor wishes to study the effect that his tutoring has on his students. He randomly selects 4 new students and records their current grades in their statistics courses. After half a semester of tutoring, the students' grades are recorded again. The statistics tutor then uses a paired, two-sample hypothesis test to determine if the differences between the before and after grades are statistically significant. (The tutor assumes a 5% level of significance.) Students: A B C D Before 83 78 93 87 After 80 80 96 86 Useful tools: Normal Distribution Calculator t-Distribution Calculator a. Which of the following null and alternative hypotheses match this scenario? OH . : A p Z Ha : Au = 0 OHo : Au 0 OHo : Au > 0 Ha : Aus b. Which type of test should be applied? o The alternative hypothesis indicates a right- tailed test. o The alternative hypothesis indicates a left- tailed test. o The alternative hypothesis indicates a two- tailed test. c. Which type of distribution should be applied? o The required distribution is a Normal Distribution. o The required distribution is Student's t- Distribution. o The required distribution is a Binomial Distribution approximated by a Normal Distribution. d. Calculate the p-value from this hypothesis test. P =

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