your boss wants to claim that population mean u* of the data is at least 3.62. t
ID: 3232788 • Letter: Y
Question
your boss wants to claim that population mean u* of the data is at least 3.62. the theoretical variance for this data is a2= .75. of the typical significance levels (.1, .05, .02, and .01) what is the smallest significance level which would fail to reject his claim, and which is the largest level that would result in its being rejected.
you decide to tell your boss that the theoretical mean u for this data is 3.5. he tells you that statistic won't sell well. Assuming a2= 0.75, what is the largest you can claim u to be so that it won't be rejected at any of the levels mentioned above?
Startingly, you discover that you theoretical assumptions about the population were wrong, and you can no longer assume to know what a is. Redo the previous problems in this context.
your boss is now claiming that at least 55% of (whatever it is ) is bigger than 3.5. test his claim at the 2% significance level.
hes now claiming that a= 0.7. can you reject his claim at any significant level?
Explanation / Answer
Given That u=3.62
variance a2=0.75
consider Typical level of significance alpha=0.05
smallest level of significance is nothing but the p value.
P value is the minimum level of significancs for which null hypothesis is rejected and by using above data
P value = 0.8898
which is the smallest level of significance which would fail to reject his claim.
and the largest level of significane =1-0.8898 = 0.1102.
Now,to test the boss's claim at 2% Level Of Significance
where his population mean is 55% of bigger than 3.5 that means it is =3.5+1.925 =5.425
and calculates P value accordingly = 1-cumulative density fuction of test statistic
=0.0371 and which is less than alpha=0.7
hence we reject his claim at 2% LOS.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.