A sample of 39 observations is selected from a normal population. The sample mea
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Question
A sample of 39 observations is selected from a normal population. The sample mean is 31, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.
A sample of 39 observations is selected from a normal population. The sample mean is 31, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.
H0 : 30 H1 : > 30 ezec.mheducation. om hmatpx?- 7109 92185675082 Week 3 1000 points 005 signifi H. 30 "One tailed the ehemate hypothesis is greater than diection. "Two taled the atematc hypothesis is fforent from dicction. und yo hat the wal of th: tos Round yo Vauc of th: tost statist d. What Do not reject irere Is Insuftrient endence to conclude that the populah mean s greatarthan zu hat the value? (Round you to 4 decimal References eBook & Resources Work she Dmculty: 2 Intermediate Question 1 (or IO-AL E P10- Obiective: 10 05 Conducta lest ofa hypothesis about a population mean instructions helpExplanation / Answer
(a) This is one tailed test
(b)
For 0.05 significance level, z-value = 1.64
Hence, Reject H0 when z>1.64
(c)
Test statistics, z = (31 - 30)/(5/sqrt(30)) = 1.0954
(d) As test statistics z is less than 1.64 (critical value), do no reject null hypothesis
There is insufficient evidence to conclude that the population mean is greater than 30
(e)
p-value = P(z>1.0954) = 0.1367