A random sample of 50 medical school student applicants at a university has a mean raw score of 31. The population standard deviation is 2.5 on the multiple choice portions of the Medical College Admission Test (MCAT). The generally accepted mean raw score is 30, but a student claims its more than 30. At a 0.01 significant level, is there enough evidence to support the student's claim. Use the table below to support your answer. Excel code or input Sample Size (n) Sample Mean (x-bar) Standard Deviation Hypothesized Mean (u) the Null Hypothesis Alternative Hypothesis Null (Status Quo) Standard Error Test Statistic (z) std dev/sqrt(n) (s mean-u)/std error p-value (lower tail) p-value (upper tail) p-value (two tail) Norm.S.Dist(z, true) 1 - Lower tail value |2*MIN(L tail, U tail) alpha value appropriate p-value conclusion write in terms of the alternative hypothesis

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 random sample of 50 medical school student applicants at a university has a mean raw score
of 31. The population standard deviation is 2.5 on the multiple choice portions of the Medical
College Admission Test (MCAT). The generally accepted mean raw score is 30, but a student
claims its more than 30. At a 0.01 significant level, is there enough evidence to support the
student's claim. Use the table below to support your answer.
Excel code or input
Sample Size (n)
Sample Mean (x-bar)
Standard Deviation
Hypothesized Mean (u)
the Null Hypothesis
Alternative Hypothesis
Null (Status Quo)
Standard Error
Test Statistic (z)
std dev/sqrt(n)
(s mean-u)/std error
p-value (lower tail)
p-value (upper tail)
p-value (two tail)
Norm.S.Dist(z, true)
1 - Lower tail value
|2*MIN(L tail, U tail)
alpha value
appropriate p-value
conclusion
write in terms of the alternative hypothesis
Transcribed Image Text:A random sample of 50 medical school student applicants at a university has a mean raw score of 31. The population standard deviation is 2.5 on the multiple choice portions of the Medical College Admission Test (MCAT). The generally accepted mean raw score is 30, but a student claims its more than 30. At a 0.01 significant level, is there enough evidence to support the student's claim. Use the table below to support your answer. Excel code or input Sample Size (n) Sample Mean (x-bar) Standard Deviation Hypothesized Mean (u) the Null Hypothesis Alternative Hypothesis Null (Status Quo) Standard Error Test Statistic (z) std dev/sqrt(n) (s mean-u)/std error p-value (lower tail) p-value (upper tail) p-value (two tail) Norm.S.Dist(z, true) 1 - Lower tail value |2*MIN(L tail, U tail) alpha value appropriate p-value conclusion write in terms of the alternative hypothesis
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