A proposed EPA regulation on pellet stoves would require particulate emissions b

Question

A proposed EPA regulation on pellet stoves would require particulate emissions below 1.3 gm/hr. At steady state operation under normal burning conditions, the following measurements of particulate emissions were recorded for a certain model of pellet stove. 0.85,1.46, 1.63, 0.91, 0.52, 2.03, 0.78, 1.29, 2.10, 0.54.
a.) Perform the appropriate hypothesis test.
b.) what is the 95% confidence interval A proposed EPA regulation on pellet stoves would require particulate emissions below 1.3 gm/hr. At steady state operation under normal burning conditions, the following measurements of particulate emissions were recorded for a certain model of pellet stove. 0.85,1.46, 1.63, 0.91, 0.52, 2.03, 0.78, 1.29, 2.10, 0.54.
a.) Perform the appropriate hypothesis test.
b.) what is the 95% confidence interval 0.85,1.46, 1.63, 0.91, 0.52, 2.03, 0.78, 1.29, 2.10, 0.54.
a.) Perform the appropriate hypothesis test.
b.) what is the 95% confidence interval

Explanation / Answer

Sample: 0.85,1.46, 1.63, 0.91, 0.52, 2.03, 0.78, 1.29, 2.10, 0.54

n = 10 ( is less than 30, so we use t-test)

mean, x = 1.218

Standard deviation, s = 0.5923

population mean, mu = 1.3

a)

t-statistics for given data, t = (x-mu)/(s/sqrt(n)) = (1.218-1.3)/(0.5923/sqrt(10)) = -0.4378

at 95 % confidence level,

t-score for degree of freedom 9 = -1.833

So, we cannot reject null hypothesis that mean equals 1.3

b)

confidence interval:

mu +/- t*s/sqrt(n)

1.3 +/- 1.833*0.5923/sqrt(10)

1.3 +/- 0.3433

confidence interval is ( 0.9566, 1.6433 )

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