One-Sample z-test with known varia Test of Ho : u = 99 vs. H1 : µ > 99 Assumed standard deviation o = 2 Significance level a = 0.05 %3D n = 16

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Consider the hypothesis testing output below.
One-Sample z-test with known variance:
Test of Ho : e
99 vs. H1 : µ > 99
Assumed standard deviation o = 2
Significance level a =
= 0.05
- 16
Sample mean: 7 = 99.72
Sample standard deviation: s =
n =
2.365
Test Statistic zo =
= 1.44
P-value = 0.075
%3|
(1) What conclusions would you draw?
(2) Construct a 95% lower bound on the mean.
(3) If the hypothesis had been Ho : µ = 98 versus H1 : µ > 98, would you reject the null
hypothesis at the 0.05 level of significance? Can you answer this without referring
to the normal table?
(4) What would the P-value be if the alternative hypothesis is H1 : µ # 99?
Transcribed Image Text:Consider the hypothesis testing output below. One-Sample z-test with known variance: Test of Ho : e 99 vs. H1 : µ > 99 Assumed standard deviation o = 2 Significance level a = = 0.05 - 16 Sample mean: 7 = 99.72 Sample standard deviation: s = n = 2.365 Test Statistic zo = = 1.44 P-value = 0.075 %3| (1) What conclusions would you draw? (2) Construct a 95% lower bound on the mean. (3) If the hypothesis had been Ho : µ = 98 versus H1 : µ > 98, would you reject the null hypothesis at the 0.05 level of significance? Can you answer this without referring to the normal table? (4) What would the P-value be if the alternative hypothesis is H1 : µ # 99?
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