A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $949 and $1014, respectively. The population standard deviations are known to be $252 and $87, respectively. Conduct a hypothesis test at the 5% significance level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university. State the distribution to use for the test. (Round your answers to two decimal places.) X ~ 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.) = What is the p-value? (Round your answer to four decimal places.) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) ? =
A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $949 and $1014, respectively. The population standard deviations are known to be $252 and $87, respectively. Conduct a hypothesis test at the 5% significance level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university. State the distribution to use for the test. (Round your answers to two decimal places.) X ~ 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.) = What is the p-value? (Round your answer to four decimal places.) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) ? =
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $949 and $1014, respectively. The population standard deviations are known to be $252 and $87, respectively. Conduct a hypothesis test at the 5% significance level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university.
State the distribution to use for the test. (Round your answers to two decimal places.)
X ~
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.)
=
=
What is the p-value? (Round your answer to four decimal places.)
Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.
(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
? =
? =
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