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 $1015, respectively. The population standard deviations are known to be $255 and $89, respectively. Conduct a hypothesis test at the 5% level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university. 1. State the distribution to use for the test. (Round your answers to two decimal places.)   X ~ ______ (________ , _________)   2. Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 $1015, respectively. The population standard deviations are known to be $255 and $89, respectively. Conduct a hypothesis test at the 5% level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university.

1. State the distribution to use for the test. (Round your answers to two decimal places.)

 

X ~ ______ (________ , _________)

 

2. Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

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