Suppose you are testing H0 : µ = 105 vs H1 : µ 6= 105. The sample is small (n = 27) and the data come from an approximate normal population. The variance, σ 2 , is unknown. (a) Should you use z or t when finding a critical region for this scenario? (b) Find the critical value(s) corresponding to α = 0.06. If there are multiple critical values, list all. (c) State the critical region. (d) You find that the test statistic value is 2.06. Based on your critical region, what decision do you make regarding the null hypothesis (i.e. do you Reject H0 or Do Not Reject H0)? (e) What is the p-value associated with the test statististc of 2.06? (f) Based on your p-value, what decision do you make regarding the null hypothesis (i.e. do you Reject H0 or Do Not Reject H0)? (g) State your conclusion.
Suppose you are testing
H0 : µ = 105 vs H1 : µ 6= 105.
The sample is small (n = 27) and the data come from an approximate normal population.
The variance, σ
2
, is unknown.
(a) Should you use z or t when finding a critical region for this scenario?
(b) Find the critical value(s) corresponding to α = 0.06. If there are multiple critical
values, list all.
(c) State the critical region.
(d) You find that the test statistic value is 2.06. Based on your critical region, what
decision do you make regarding the null hypothesis (i.e. do you Reject H0 or Do Not
Reject H0)?
(e) What is the p-value associated with the test statististc of 2.06?
(f) Based on your p-value, what decision do you make regarding the null hypothesis (i.e.
do you Reject H0 or Do Not Reject H0)?
(g) State your conclusion.
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