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According to a local newspaper, students at a local university usually take 4.5 years to graduate. A student at that university believes that the actual number of years required to graduate should be less than the newspaper's assertion. A survey of 25 students was conducted by the student, yielding a sample mean of 4 years with a standard deviation of 0.75 years. Is there enough evidence in the data to back up the student's claim? Assume that the level of significance is 5%. a) State what u is in words and determine the Ho and Ha. b) Find the t-test statistic and P-value (tail probability). i) Draw a density curve for x and a t density curve. c) Fill in the blanks: Since P-value is < or >? 0.05, we reject or do not reject Ho?. We have enough or not enough? evidence to conclude that (state Ha in words) at 5%.

According to a local newspaper, students at a local university usually take 4.5 years to graduate. A student at that university believes that the actual number of years required to graduate should be less than the newspaper's assertion. A survey of 25 students was conducted by the student, yielding a sample mean of 4 years with a standard deviation of 0.75 years. Is there enough evidence in the data to back up the student's claim? Assume that the level of significance is 5%. a) State what u is in words and determine the Ho and Ha. b) Find the t-test statistic and P-value (tail probability). i) Draw a density curve for x and a t density curve. c) Fill in the blanks: Since P-value is < or >? 0.05, we reject or do not reject Ho?. We have enough or not enough? evidence to conclude that (state Ha in words) at 5%.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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According to a local newspaper, students at a local university usually take 4.5 years to graduate. A student at that university believes that the actual number of years required to graduate should be less than the newspaper's assertion. A survey of 25 students was conducted by the student, yielding a sample mean of 4 years with a standard deviation of 0.75 years. Is there enough evidence in the data to back up the student's claim? Assume that the level of significance is 5%. a) State what u is in words and determine the Ho and Ha. b) Find the t-test statistic and P-value (tail probability). i) Draw a density curve for x and a t density curve. c) Fill in the blanks: Since P-value is < or >? 0.05, we reject or do not reject Ho?. We have enough or not enough? evidence to conclude that (state Ha in words) at 5%.
Transcribed Image Text:According to a local newspaper, students at a local university usually take 4.5 years to graduate. A student at that university believes that the actual number of years required to graduate should be less than the newspaper's assertion. A survey of 25 students was conducted by the student, yielding a sample mean of 4 years with a standard deviation of 0.75 years. Is there enough evidence in the data to back up the student's claim? Assume that the level of significance is 5%. a) State what u is in words and determine the Ho and Ha. b) Find the t-test statistic and P-value (tail probability). i) Draw a density curve for x and a t density curve. c) Fill in the blanks: Since P-value is < or >? 0.05, we reject or do not reject Ho?. We have enough or not enough? evidence to conclude that (state Ha in words) at 5%.
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