Question
In: Statistics and Probability
Test the claim about the population mean, mu, at the given level of significance using the...
Test the claim about the population mean, mu, at the given level of significance using the given sample statistics. Claim: mu: 50; alpha=0.03; sigmaequals3.63. Sample statistics: x overbarequals48.7, nequals69What are the critical values?
Solutions
Expert Solution
Solution :
Given that,
Population mean = 
= 50
Sample mean = 
= 48.7
Population standard deviation = 
= 3.63
Sample size = n = 69
Level of significance = 
= 0.03
This a right (One) tailed test.
The null and alternative hypothesis is,
Ho:
50
Ha:
50
Critical value
Based on the information provided, the significance level is α=0.03, and the critical value for a right-tailed test is
=1.88.
The test statistics,
Z = ( -
)/ (/
)
=( 48.7 - 50 ) / ( 3.63 / 
69)
= -2.975
Since it is observed that z = -2.975 ≤
=1.88, it is then concluded that the null hypothesis is fails to
reject.
orchestra answered 2 years agoRelated Solutions
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