Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Unless specified by your instructor, use either the traditional method or P-value...

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Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Unless specified by your instructor, use either the traditional method or P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), critical value(s), and state the final conclusion that addresses the original claim.



Time Required for Bachelor’s Degree
Researchers collected a simple random sample of the times that 81college students required to earn their bachelor’s degrees. The sample has a mean of 4.8 years and a standard deviation of 2.2 years (based on data from the National Center for Education Statistics). Use a 0.05 significance level to test the claim that the mean time for all college students is greater than 4.5 years.



Answered Same DayDec 24, 2021

Answer To: Assume that a simple random sample has been selected from a normally distributed population and test...

Robert answered on Dec 24 2021
122 Votes
H0 : µ = 4.5 years vs H1 : µ >4.5 years
̅ = 4.8 years , σ = 2.2 years , n = 81 ,
α = 0.05
We can use here,
 Z =

 1.227
Therefore, The P-Value is 0.109911.
The result is not significant at p < 0.05.
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