Question 1081223: 𝐻0: 𝜇 = 1000
𝐻1: 𝜇 ≠ 1000
𝜎 = 200, 𝑛 = 100, 𝑥̅ = 980, 𝛼 = 0.01
Calculate the value of the test statistic, set up the rejection region, determine the p- value, interpret the result, and draw the sampling distribution.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 𝐻0: 𝜇 = 1000
𝐻1: 𝜇 ≠ 1000
𝜎 = 200, 𝑛 = 100, 𝑥̅ = 980, 𝛼 = 0.01
Calculate the value of the test statistic, set up the rejection region, determine the p- value, interpret the result, and draw the sampling distribution.
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test stat::
z(980) = (980-1000)/(200/sqrt/100) = -20/20 = -1
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critical values for 2-tail test with alpha = 1%:: z = +/-2.5758
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rejection region:: z < -2.5758 and z > +2.5758
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Z-value = 2*P(z < -1) = 2*normalcdf(-100,-1) = 0.3173
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Conclusion:
Since the P-value is greater than 1%, fail to reject Ho.
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The test results support Ho.
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Cheers,
Stan H.
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