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8.Construct a 95% confidence interval on the mean reaction pressure, when the hypothesis is Ho =...

8.Construct a 95% confidence interval on the mean reaction pressure, when the hypothesis is Ho = 225,

Ha >225 if the sample mean is y = 241.5, sample variance S2 = 9747, the sample size n = 16 and α= 0.05?

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Answer #1

t critical value at 0.05 level with 15 df = 2.131

95% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

241.5 - 2.131 * sqrt(9747) / sqrt(16) < < 241.5 + 2.131 * sqrt(9747) / sqrt(16)

188.9032 < < 294.0968

95% CI is (188.9032 , 294.0968)

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