The Umbrella Corporation has companies in many sectors of our economy. One of their paint manufacturing plants sells cans of paint and uses a machine that has been calibrated to fill the cans to contain an average of 1 gallon (128 ounces) each. To test whether their machine needs calibration, the manufacturer takes a random sample of 25 cans. Is there sufficient evidence that the filling machine is set too high? Using the supplied output, what are the results of the test? (Assume all assumptions are met) One Sample t-test data:  evil t = 0.26907, df = 29, p-value = 0.3949 alternative hypothesis: true mean is greater than 128 95 percent confidence interval:  127.6387      Inf sample estimates: mean of x    128.068 a. 29  b. 0.3949  c. pvalue=0.3949 which is not<= 0.05, therefore the null hypothesis (H0) is not rejected  d. pvalue=0.3949 which is <= 0.05, therefore the null hypothesis (H0) is rejected

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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The Umbrella Corporation has companies in many sectors of our economy. One of their paint manufacturing plants sells cans of paint and uses a machine that has been calibrated to fill the cans to contain an average of 1 gallon (128 ounces) each. To test whether their machine needs calibration, the manufacturer takes a random sample of 25 cans. Is there sufficient evidence that the filling machine is set too high? Using the supplied output, what are the results of the test? (Assume all assumptions are met)

One Sample t-test
data:  evil
t = 0.26907, df = 29, p-value = 0.3949
alternative hypothesis: true mean is greater than 128
95 percent confidence interval:
 127.6387      Inf
sample estimates:
mean of x
   128.068

a. 29

 b. 0.3949

 c. pvalue=0.3949 which is not<= 0.05, therefore the null hypothesis (H0) is not rejected

 d. pvalue=0.3949 which is <= 0.05, therefore the null hypothesis (H0) is rejected

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