Need help solving on a ti-83 or 84 O Part (d)State the distribution to use for the test. (Round your answers to two decimal places.)Xstate - Xprivate - ? vO Part (e)What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)|---Select--- v =O Part (f)What is the p-value? (Round your answer to four decimal places.)Explain what the p-value means for this problem.O If Ho is true, then there is a chance equal to the p-value that the sample average graduation time of the California state university system students is 0.40 or more years less than the sample average graduation time ofstudents at private universities.O If H, is false, then there is a chance equal to the p-value that the sample average graduation time of the California state university system students is at least 0.40 years more than the sample average graduation time ofstudents at private universities.O If Ho is false, then there isequalp-value thatsample average graduation time of the Californiauniversity system students i0.40 or more yearsthan the sample average graduation timestudents at private universities.O If Ho is true, then there is a chance equal to the p-value that the sample average graduation time of the California state university system students is at least 0.40 years more than the sample average graduation time ofstudents at private universities. A study is done to determine if students in the California state university system take longer to graduate, on average, than students enrolled in private universities. One hundred students from both theCalifornia state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5181 years and 1 year, respectively.The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.6. The private university students took on average 4.1 years witha standard deviation of 0.3. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove thatassumption, though.)O Part (a)State the null hypothesis.O Họ: Hstate HprivateO Part (b)State the alternative hypothesis.O Hai Hstate = HprivateO Hgi Hstate HprivateO Part (c)In words, state what your random variable Xstate - Xprivate represents.O Xetate - Xorivate represents the difference in the average amount of time needed to graduate from a state university and a private university.O Xstate - Xprivate represents the average of the differences in the amount of time needed to graduate from a state university and a private university.O Xetate - Xorivate represents the difference in the amount of time needed to graduate from a state university and a private university.O Xstate - Xorivate represents the average amount of time needed to graduate from a university.

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Need help solving on a ti-83 or 84 O Part (d)State the distribution to use for the test. (Round your answers to two decimal places.)Xstate - Xprivate - ? vO Part (e)What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)|---Select--- v =O Part (f)What is the p-value? (Round your answer to four decimal places.)Explain what the p-value means for this problem.O If Ho is true, then there is a chance equal to the p-value that the sample average graduation time of the California state university system students is 0.40 or more years less than the sample average graduation time ofstudents at private universities.O If H, is false, then there is a chance equal to the p-value that the sample average graduation time of the California state university system students is at least 0.40 years more than the sample average graduation time ofstudents at private universities.O If Ho is false, then there isequalp-value thatsample average graduation time of the Californiauniversity system students i0.40 or more yearsthan the sample average graduation timestudents at private universities.O If Ho is true, then there is a chance equal to the p-value that the sample average graduation time of the California state university system students is at least 0.40 years more than the sample average graduation time ofstudents at private universities. A study is done to determine if students in the California state university system take longer to graduate, on average, than students enrolled in private universities. One hundred students from both theCalifornia state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5181 years and 1 year, respectively.The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.6. The private university students took on average 4.1 years witha standard deviation of 0.3. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove thatassumption, though.)O Part (a)State the null hypothesis.O Họ: Hstate  HprivateO Part (b)State the alternative hypothesis.O Hai Hstate = HprivateO Hgi Hstate < HprivateO Hg: Hstate * HprivateO Hg: Hstate > HprivateO Part (c)In words, state what your random variable Xstate - Xprivate represents.O Xetate - Xorivate represents the difference in the average amount of time needed to graduate from a state university and a private university.O Xstate - Xprivate represents the average of the differences in the amount of time needed to graduate from a state university and a private university.O Xetate - Xorivate represents the difference in the amount of time needed to graduate from a state university and a private university.O Xstate - Xorivate represents the average amount of time needed to graduate from a university.

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