estion 54 versus H A. 54, A sample of size = 73 s drawn, and x-57 The population
ID: 3315190 • Letter: E
Question
estion 54 versus H A. 54, A sample of size = 73 s drawn, and x-57 The population standard deviation is -21 Compute the value A test is made of H of the test statistic 2 0.14 1.22 5.59 0.89 Question 8 of Ho -49 versus Hi AS 49 is perf med using a significance level of-005 The value ofthe test statistic iszed" If the true value of u is 45 does the conclusion result in a Type I error, a Type Il eror, or a corect decision? Type 1 error Correct decision o Type II error Question9 A test of H, -36 versus H. : #56 is performed using a significance level ofa-005. The P-value is 0.016. If the true value of u is S4, does the conclusion result in a Type I error, a Type II error, or a correct decision? o Type II error 0 Type 1 error O Correct decisionExplanation / Answer
Ans:
7)
Test statistic
z=(57-54)*sqrt(73)/21=1.22
8)left tailed test
z=-1.70
critical z value(left tailed) for 0.05 significance level=-1.645
As,z=-1.7<-1.645 ,we reject H0.
now,given that population mean is 45,it means that null hypothesis is actually false
As,null hypothesis is false and we are rejecting null hypothesis,so we are making correct decision.
9)
p-value=0.016
As,p-value<0.05,we reject H0.
Ast true value of mean is 54 i.e. null hypothesis is actually false.
As,null hypothesis is false and we are rejecting null hypothesis,so we are making correct decision.
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